138908197390356800
138,908,197,390,356,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138908197390356800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
138908197390356800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138908197390356800:
26 × 52 × 7 × 192 × 593 × 4092
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 19 × 59 × 59 × 59 × 409 × 409)See below for interesting mathematical facts about the number 138908197390356800 from the Numbermatics database.
Names of 138908197390356800
- Cardinal: 138908197390356800 can be written as One hundred thirty-eight quadrillion, nine hundred eight trillion, one hundred ninety-seven billion, three hundred ninety million, three hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389081973903568 × 1017
Factors of 138908197390356800
Divisors of 138908197390356800
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 59 64 70 76 80 95 100 112 118 133 140 152 160 175 190 200 224 236 266 280 295 304 320 350 361 380 400 409 413 448 472 475 532 560 590 608 665 700 722 760 800 818 826 944 950 1064 1120 1121 1180 1216 1330 1400 1444 1475 1520 1600 1636 1652 1805 1888 1900 2045 2065 2128 2240 2242 2360 2527 2660 2800 2863 2888 2950 3040 3272 3304 3325 3481 3610 3776 3800 4090 4130 4256 4484 4720 5054 5320 5600 5605 5726 5776 5900 6080 6544 6608 6650 6962 7220 7600 7771 7847 8180 8260 8512 8968 9025 9440 10108 10225 10325 10640 11200 11210 11452 11552 11800 12635 13088 13216 13300 13924 14315 14440 15200 15542 15694 16360 16520 17405 17936 18050 18880 20216 20450 20650 21280 21299 22420 22904 23104 23600 24131 24367 25270 26176 26432 26600 27848 28025 28630 28880 30400 31084 31388 32720 33040 34810 35872 36100 38855 39235 40432 40900 41300 42560 42598 44840 45808 47200 48262 48734 50540 53200 54397 55696 56050 57260 57760 62168 62776 63175 65440 66080 66139 69620 71575 71744 72200 77710 78470 80864 81800 82600 85196 87025 89680 91616 94400 96524 97468 101080 106400 106495 108794 111392 112100 114520 115520 120655 121835 124336 125552 126350 130880 132160 132278 139240 143150 144400 147649 149093 155420 156940 161728 163600 165200 167281 168917 170392 174050 179360 183232 193048 194275 194936 196175 202160 205379 212800 212990 217588 222784 224200 229040 241310 243670 248672 251104 252700 264556 271985 278480 286300 288800 295298 298186 310840 313880 327200 330400 330695 334562 337834 340784 348100 358720 386096 388550 389872 392350 404320 410758 425980 435176 448400 458080 458489 462973 482620 487340 497344 502208 505400 529112 532475 543970 556960 572600 577600 590596 596372 603275 609175 621680 627760 654400 660800 661390 669124 675668 681568 696200 738245 745465 772192 777100 779744 784700 808640 821516 836405 844585 851960 870352 896800 916160 916978 925946 965240 974680 1010800 1026895 1033543 1058224 1064950 1087940 1113920 1145200 1170967 1181192 1192744 1206550 1218350 1243360 1255520 1256641 1322780 1338248 1351336 1359925 1363136 1392400 1423729 1437653 1476490 1490930 1544384 1554200 1559488 1569400 1643032 1653475 1672810 1689170 1703920 1740704 1793600 1833956 1851892 1930480 1949360 2021600 2053790 2067086 2116448 2129900 2175880 2290400 2292445 2314865 2341934 2362384 2385488 2413100 2436700 2486720 2511040 2513282 2645560 2676496 2702672 2719850 2784800 2847458 2875306 2952980 2981860 3108400 3138800 3178339 3209423 3286064 3306950 3345620 3378340 3407840 3481408 3667912 3691225 3703784 3727325 3860960 3898720 3902201 4043200 4107580 4134172 4182025 4222925 4232896 4259800 4351760 4580800 4584890 4629730 4683868 4724768 4770976 4826200 4873400 5026564 5134475 5167715 5291120 5352992 5405344 5439700 5569600 5694916 5750612 5854835 5905960 5963720 6216800 6277600 6283205 6356678 6418846 6572128 6613900 6691240 6756680 6815680 7118645 7188265 7335824 7382450 7407568 7454650 7721920 7797440 7804402 8215160 8268344 8364050 8445850 8519600 8703520 8711291 8796487 9169780 9259460 9367736 9449536 9541952 9652400 9746800 9869579 9966103 10053128 10268950 10335430 10582240 10705984 10810688 10879400 11389832 11462225 11501224 11574325 11709670 11811920 11927440 12433600 12555200 12566410 12713356 12837692 13144256 13227800 13382480 13513360 14237290 14376530 14671648 14764900 14815136 14909300 15608804 15891695 16047115 16430320 16536688 16728100 16891700 17039200 17407040 17422582 17592974 18339560 18518920 18735472 19304800 19493600 19511005 19739158 19932206 20106256 20537900 20670860 21164480 21758800 22248373 22779664 22924450 23002448 23148650 23419340 23623840 23854880 25132820 25426712 25675384 25838575 26455600 26764960 27026720 27050851 27315407 28474580 28753060 29274175 29343296 29529800 29630272 29818600 31217608 31416025 31783390 32094230 32860640 33073376 33456200 33783400 34078400 34845164 35185948 35593225 35941325 36679120 37037840 37470944 38609600 38987200 39022010 39478316 39864412 40212512 41075800 41341720 43517600 43556455 43982435 44496746 45559328 45848900 46004896 46297300 46838680 47247680 47709760 49347895 49830515 50265640 50853424 51350768 51677150 52911200 53529920 54053440 54101702 54630814 56949160 57506120 58548350 59059600 59637200 60388441 60979037 62435216 62832050 63566780 64188460 65721280 66146752 66912400 67566800 69087053 69690328 70371896 71186450 71882650 73358240 74075680 74141819 74941888 78044020 78956632 79458475 79728824 80235575 80425024 82151600 82683440 84000011 87035200 87112910 87964870 88993492 91118656 91697800 92009792 92594600 93677360 97555025 98695790 99661030 100531280 101706848 102701536 103354300 105822400 108203404 109261628 111241865 113898320 115012240 117096700 118119200 119274400 120776882 121958074 124870432 125664100 127133560 128376920 133824800 135133600 135254255 136577035 138174106 139380656 140743792 142372900 143765300 146716480 148151360 148283638 156088040 157913264 158916950 159457648 160471150 164303200 165366880 168000022 174225820 175929740 177986984 183395600 185189200 187354720 187522001 189355957 195110050 197391580 199322060 201062560 203413696 205403072 206708600 216406808 217782275 218523256 219912175 222483730 227796640 230024480 234193400 236238400 238548800 241553764 243916148 246739475 249152575 249740864 251328200 254267120 256753840 267649600 270267200 270508510 273154070 276348212 278761312 281487584 284745800 287530600 296567276 301942205 304895185 312176080 315826528 317833900 318915296 320942300 328606400 330733760 336000044 345435265 348451640 351859480 355973968 366791200 370378400 370709095 374709440 375044002 378711914 390220100 394783160 398644120 402125120 413417200 420000055 422719087 432813616 435564550 437046512 439824350 444967460 455593280 460048960 468386800 483107528 487832296 493478950 498305150 502656400 508534240 513507680 513966169 518992733 541017020 546308140 552696424 556209325 557522624 562975168 569491600 575061200 582305161 588000077 593134552 603884410 609790370 624352160 631653056 635667800 637830592 641884600 672000088 676271275 682885175 690870530 696903280 703718960 711947936 733582400 740756800 741418190 750088004 757423828 780440200 789566320 797288240 826834400 840000110 845438174 865627232 871129100 874093024 879648700 889934920 936773600 937610005 946779785 966215056 975664592 986957900 996610300 1005312800 1017068480 1027015360 1027932338 1037985466 1082034040 1092616280 1105392848 1112418650 1138983200 1150122400 1164610322 1176000154 1186269104 1207768820 1219580740 1248704320 1271335600 1283769200 1312654007 1344000176 1352542550 1365770350 1381741060 1393806560 1407437920 1423895872 1482836380 1500176008 1509711025 1514847656 1524475925 1560880400 1579132640 1594576480 1596000209 1653668800 1680000220 1690876348 1727176325 1731254464 1742258200 1748186048 1759297400 1779869840 1853545475 1873547200 1875220010 1893559570 1932430112 1951329184 1973915800 1993220600 2010625600 2055864676 2075970932 2100000275 2113595435 2164068080 2185232560 2210785696 2224837300 2277966400 2300244800 2329220644 2352000308 2372538208 2415537640 2439161480 2542671200 2567538400 2569830845 2594963665 2625308014 2688000352 2705085100 2731540700 2763482120 2787613120 2814875840 2911525805 2940000385 2965672760 3000352016 3019422050 3029695312 3048951850 3121760800 3158265280 3189152960 3192000418 3360000440 3381752696 3454352650 3484516400 3518594800 3559739680 3562918019 3597763183 3707090950 3750440020 3787119140 3864860224 3902658368 3947831600 3986441200 4076136127 4111729352 4151941864 4200000550 4227190870 4328136160 4370465120 4421571392 4449674600 4658441288 4688050025 4704000616 4733898925 4745076416 4831075280 4878322960 5085342400 5135076800 5139661690 5189927330 5250616028 5376000704 5410170200 5463081400 5526964240 5823051610 5880000770 5931345520 6000704032 6038844100 6059390624 6097903700 6243521600 6384000836 6563270035 6720000880 6763505392 6908705300 6969032800 7037189600 7119479360 7125836038 7195526366 7414181900 7500880040 7574238280 7895663200 7972882400 7980001045 8152272254 8223458704 8303883728 8400001100 8454381740 8656272320 8740930240 8899349200 9316882576 9376100050 9408001232 9467797850 9662150560 9756645920 10279323380 10379854660 10501232056 10567977175 10820340400 10926162800 11053928480 11063798059 11172001463 11646103220 11760001540 11862691040 12001408064 12077688200 12118781248 12195807400 12768001672 12849154225 12974818325 13126540070 13440001760 13527010784 13817410600 13938065600 14074379200 14251672076 14391052732 14557629025 14700001925 14828363800 15001760080 15148476560 15791326400 15945764800 15960002090 16304544508 16446917408 16607767456 16800002200 16908763480 17798698400 17814590095 17988815915 18633765152 18752200100 18816002464 18935595700 19324301120 19513291840 20380680635 20558646760 20759709320 21002464112 21135954350 21640680800 21852325600 22107856960 22127596118 22344002926 23292206440 23520003080 23725382080 24155376400 24391614800 24940426133 25536003344 25698308450 25949636650 26253080140 26880003520 27054021568 27634821200 28503344152 28782105464 29115258050 29400003850 29656727600 30003520160 30296953120 30324003971 31920004180 32609089016 32816350175 32893834816 33215534912 33600004400 33817526960 34356004499 35597396800 35629180190 35977631830 37267530304 37504400200 37632004928 37871191400 39900005225 40761361270 41117293520 41519418640 42004928224 42271908700 43281361600 43704651200 44255192236 44688005852 46584412880 47040006160 48310752800 48783229600 49880852266 51072006688 51396616900 51899273300 52506160280 55269642400 55318990295 55860007315 57006688304 57564210928 58230516100 58800007700 59313455200 60007040320 60593906240 60648007942 63840008360 65218178032 65632700350 67200008800 67635053920 68712008998 71258360380 71955263660 75008800400 75742382800 77446586413 79800010450 81522722540 82234587040 83038837280 84009856448 84543817400 88510384472 89072950475 89376011704 89944079575 93168825760 94080012320 96621505600 97566459200 99761704532 101903403175 102144013376 102793233800 103798546600 105012320560 110539284800 110637980590 111720014630 114013376608 115128421856 116461032200 117600015400 118626910400 121296015884 124702130665 127680016720 130436356064 131265400700 134400017600 135270107840 137424017996 142516720760 143910527320 150017600800 151484765600 151620019855 154893172826 159600020900 163045445080 164469174080 166077674560 169087634800 171780022495 177020768944 178145900950 178752023408 179888159150 186337651520 188160024640 199523409064 203806806350 205586467600 207597093200 210024641120 210212163121 212268027797 221275961180 223440029260 228026753216 230256843712 232922064400 235200030800 240492031493 242592031768 249404261330 255360033440 260872712128 262530801400 274848035992 276594951475 279300036575 285033441520 287821054640 300035201600 302969531200 303240039710 309786345652 319200041800 326090890160 338175269600 343560044990 354041537888 356291801900 357504046816 359776318300 387232932065 399046818128 407613612700 411172935200 415194186400 420049282240 420424326242 424536055594 442551922360 446880058520 465844128800 470400061600 480984062986 485184063536 498808522660 510720066880 525061602800 549696071984 553189902950 558600073150 570066883040 575642109280 606480079420 619572691304 623510653325 638400083600 652181780320 652764085481 676350539200 687120089980 708083075776 712583603800 715008093632 719552636600 758100099275 774465864130 798093636256 815227225400 822345870400 830388372800 840848652484 849072111188 858900112475 885103844720 893760117040 931688257600 940800123200 961968125972 970368127072 997617045320 1050123205600 1051060815605 1061340138985 1099392143968 1106379805900 1117200146300 1140133766080 1151284218560 1202460157465 1212960158840 1239145382608 1247021306650 1276800167200 1304363560640 1305528170962 1374240179960 1425167207600 1439105273200 1471485141847 1516200198550 1548931728260 1596187272512 1630454450800 1681697304968 1698144222376 1717800224950 1770207689440 1787520234080 1923936251944 1936164660325 1940736254144 1995234090640 2100246411200 2102121631210 2122680277970 2198784287936 2212759611800 2234400292600 2404920314930 2425920317680 2478290765216 2494042613300 2553600334400 2611056341924 2748480359920 2850334415200 2878210546400 2942970283694 3032400397100 3097863456520 3260908901600 3263820427405 3363394609936 3396288444752 3435600449900 3540415378880 3575040468160 3847872503888 3872329320650 3990468181280 4204243262420 4245360555940 4425519223600 4468800585200 4569348598367 4809840629860 4851840635360 4956581530432 4988085226600 5222112683848 5255304078025 5306700694925 5496960719840 5700668830400 5756421092800 5885940567388 6012300787325 6064800794200 6195726913040 6521817803200 6527640854810 6726789219872 6792576889504 6871200899800 7357425709235 7695745007776 7744658641300 7980936362560 8408486524840 8490721111880 8851038447200 8937601170400 9138697196734 9619681259720 9703681270720 9976170453200 10444225367696 10510608156050 10613401389850 10993921439680 11771881134776 12024601574650 12129601588400 12391453826080 12402517624139 13055281709620 13453578439744 13585153779008 13742401799600 14714851418470 15391490015552 15489317282600 16319102137025 16816973049680 16981442223760 17702076894400 17875202340800 18277394393468 19239362519440 19952340906400 20888450735392 21021216312100 21226802779700 22846742991835 23543762269552 24049203149300 24259203176800 24782907652160 24805035248278 26110563419240 27484803599200 29429702836940 30978634565200 32638204274050 33633946099360 33962884447520 36554788786936 36787128546175 38478725038880 39904681812800 41776901470784 42042432624200 42453605559400 45693485983670 47087524539104 48098406298600 48518406353600 49610070496556 52221126838480 54969607198400 58859405673880 61957269130400 62012588120695 65276408548100 67267892198720 67925768895040 73109577573872 73574257092350 76957450077760 84084865248400 84907211118800 86817623368973 91386971967340 94175049078208 96196812597200 99220140993112 104442253676960 114233714959175 117718811347760 123914538260800 124025176241390 130552817096200 146219155147744 147148514184700 168169730496800 169814422237600 173635246737946 182773943934680 192393625194400 198440281986224 208884507353920 228467429918350 235437622695520 248050352482780 261105634192400 292438310295488 294297028369400 310062940603475 336339460993600 339628844475200 347270493475892 365547887869360 384787250388800 396880563972448 434088116844865 456934859836700 470875245391040 496100704965560 522211268384800 588594056738800 620125881206950 694540986951784 731095775738720 793761127944896 868176233689730 913869719673400 992201409931120 1044422536769600 1177188113477600 1240251762413900 1389081973903568 1462191551477440 1736352467379460 1827739439346800 1984402819862240 2170440584224325 2354376226955200 2480503524827800 2778163947807136 3472704934758920 3655478878693600 3968805639724480 4340881168448650 4961007049655600 5556327895614272 6945409869517840 7310957757387200 8681762336897300 9922014099311200 13890819739035680 17363524673794600 19844028198622400 27781639478071360 34727049347589200 69454098695178400 138908197390356800
- Sum of all divisors σ(n): 420407203823910720
- Sum of proper divisors (its aliquot sum) s(n): 281499006433553920
- 138908197390356800 is an abundant number, because the sum of its proper divisors (281499006433553920) is greater than itself. Its abundance is 142590809043197120
Bases of 138908197390356800
- Binary: 1111011011000000001000101000000011101011110010001010000002
- Hexadecimal: 0x1ED804501D79140
- Base-36: 11ZQUGXAUE68
Squares and roots of 138908197390356800
- 138908197390356800 squared (1389081973903568002) is 19295487302238327701757631306240000
- 138908197390356800 cubed (1389081973903568003) is 2680301358922444843088692734750016581563666432000000
-
The
square root of 138908197390356800 is 372703900.4227844137 -
The
cube root of 138908197390356800 is 517896.0816149943
Scales and comparisons
How big is 138908197390356800?- 138,908,197,390,356,800 seconds is equal to 4,416,851,005 years, 38 weeks, 6 days, 2 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,908,197,390,356,800 would take you about thirteen billion, two hundred fifty million, five hundred fifty-three thousand and seventeen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138908197390356800 cubic inches would be around 43158 feet tall.
Recreational maths with 138908197390356800
- 138908197390356800 backwards is 008653093791809831
- 138908197390356800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138908197390356800's digits is 80
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138908197390356800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 138908197390356800 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138908197390356800/
Chicago style:
Numbermatics. 2024. "Number 138908197390356800 - Facts about the integer". https://numbermatics.com/n/138908197390356800/
The information we have on file for 138908197390356800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138908197390356800, math, Factors of 138908197390356800, curriculum, school, college, exams, university, Prime factorization of 138908197390356800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred eight trillion, one hundred ninety-seven billion, three hundred ninety million, three hundred fifty-six thousand, eight hundred.