138399074479144960
138,399,074,479,144,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 138399074479144960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138399074479144960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138399074479144960:
215 × 5 × 132 × 192 × 614
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 19 × 19 × 61 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138399074479144960 from the Numbermatics database.
Names of 138399074479144960
- Cardinal: 138399074479144960 can be written as One hundred thirty-eight quadrillion, three hundred ninety-nine trillion, seventy-four billion, four hundred seventy-nine million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3839907447914496 × 1017
Factors of 138399074479144960
Divisors of 138399074479144960
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 61 64 65 76 80 95 104 122 128 130 152 160 169 190 208 244 247 256 260 304 305 320 338 361 380 416 488 494 512 520 608 610 640 676 722 760 793 832 845 976 988 1024 1040 1159 1216 1220 1235 1280 1352 1444 1520 1586 1664 1690 1805 1952 1976 2048 2080 2318 2432 2440 2470 2560 2704 2888 3040 3172 3211 3328 3380 3610 3721 3904 3952 3965 4096 4160 4636 4693 4864 4880 4940 5120 5408 5776 5795 6080 6344 6422 6656 6760 7220 7442 7808 7904 7930 8192 8320 9272 9386 9728 9760 9880 10240 10309 10816 11552 11590 12160 12688 12844 13312 13520 14440 14884 15067 15616 15808 15860 16055 16384 16640 18544 18605 18772 19456 19520 19760 20480 20618 21632 22021 23104 23180 23465 24320 25376 25688 26624 27040 28880 29768 30134 31232 31616 31720 32110 32768 33280 37088 37210 37544 38912 39040 39520 40960 41236 43264 44042 46208 46360 46930 48373 48640 50752 51376 51545 53248 54080 57760 59536 60268 61009 62464 63232 63440 64220 66560 70699 74176 74420 75088 75335 77824 78080 79040 81920 82472 86528 88084 92416 92720 93860 96746 97280 101504 102752 103090 106496 108160 110105 115520 119072 120536 122018 124928 126464 126880 128440 133120 141398 148352 148840 150176 150670 155648 156160 158080 163840 164944 173056 176168 184832 185440 187720 193492 194560 195871 203008 205504 206180 212992 216320 220210 226981 231040 238144 241072 241865 244036 249856 252928 253760 256880 266240 282796 286273 296704 297680 300352 301340 305045 311296 312320 316160 329888 346112 352336 353495 369664 370880 375440 386984 389120 391742 406016 411008 412360 425984 432640 440420 453962 462080 476288 482144 483730 488072 499712 505856 507520 513760 532480 565592 572546 593408 595360 600704 602680 610090 622592 624640 628849 632320 659776 692224 704672 706990 739328 741760 750880 773968 778240 783484 812032 822016 824720 865280 880840 907924 919087 924160 952576 964288 967460 976144 979355 999424 1011712 1015040 1027520 1064960 1131184 1134905 1145092 1186816 1190720 1201408 1205360 1220180 1249280 1257698 1264640 1319552 1343281 1384448 1409344 1413980 1431365 1478656 1483520 1501760 1547936 1556480 1566968 1624064 1644032 1649440 1730560 1761680 1815848 1838174 1848320 1905152 1928576 1934920 1952288 1958710 1998848 2023424 2030080 2055040 2129920 2262368 2269810 2290184 2373632 2381440 2402816 2410720 2440360 2498560 2515396 2529280 2639104 2686562 2768896 2818688 2827960 2862730 2950753 2957312 2967040 3003520 3095872 3112960 3133936 3144245 3248128 3288064 3298880 3461120 3523360 3631696 3676348 3696640 3721549 3810304 3857152 3869840 3904576 3917420 4046848 4060160 4110080 4312639 4524736 4539620 4580368 4595435 4747264 4762880 4805632 4821440 4880720 4997120 5030792 5058560 5278208 5373124 5537792 5637376 5655920 5725460 5901506 5914624 5934080 6007040 6191744 6267872 6288490 6496256 6576128 6597760 6716405 6922240 7046720 7263392 7352696 7393280 7443098 7620608 7714304 7739680 7809152 7834840 8093696 8120320 8220160 8625278 9049472 9079240 9160736 9190870 9494528 9525760 9611264 9642880 9761440 9994240 10061584 10117120 10556416 10746248 11274752 11311840 11450920 11803012 11829248 11868160 11948131 12014080 12383488 12535744 12576980 12992512 13152256 13195520 13432810 13844480 13845841 14093440 14526784 14705392 14753765 14786560 14886196 15241216 15428608 15479360 15618304 15669680 16240640 16440320 17250556 17462653 18098944 18158480 18321472 18381740 18607745 18989056 19051520 19222528 19285760 19522880 20123168 20234240 21112832 21492496 21563195 22549504 22623680 22901840 23606024 23736320 23896262 24028160 24766976 25071488 25153960 25985024 26304512 26391040 26865620 27688960 27691682 28186880 29053568 29410784 29507530 29573120 29772392 30482432 30857216 30958720 31236608 31339360 32481280 32880640 34501112 34925306 36197888 36316960 36642944 36763480 37215490 37978112 38103040 38359789 38445056 38571520 39045760 40246336 40468480 42225664 42984992 43126390 45099008 45247360 45803680 47212048 47472640 47792524 48056320 49533952 50142976 50307920 52609024 52782080 53731240 55383364 56064307 56373760 58107136 58821568 59015060 59146240 59544784 59740655 60964864 61714432 61917440 62473216 62678720 64962560 65761280 69002224 69229205 69850612 72395776 72633920 73285888 73526960 74430980 76206080 76719578 76890112 77143040 78091520 80492672 81940141 84451328 85969984 86252780 87313265 90198016 90494720 91607360 94424096 94945280 95585048 96112640 99067904 100285952 100615840 105218048 105564160 107462480 110766728 112128614 112747520 116214272 117643136 118030120 119089568 119481310 121929728 123428864 123834880 124946432 125357440 129925120 131522560 138004448 138458410 139701224 144791552 145267840 146571776 147053920 148861960 152412160 153439156 153780224 154286080 156183040 160985344 163880282 168902656 171939968 172505560 174626530 179995933 180396032 180989440 183214720 188848192 189890560 191170096 191798945 192225280 198135808 200571904 201231680 211128320 214924960 221533456 224257228 225495040 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944240960 952716544 955850480 990679040 999571456 1002859520 1052283916 1065221833 1104035584 1107667280 1117609792 1121286140 1135072445 1158332416 1162142720 1172574208 1176431360 1190895680 1227513248 1234288640 1249464320 1287882752 1311042256 1315354895 1375519744 1380044480 1397012240 1439967464 1447915520 1457671982 1465717760 1510785536 1529360768 1534391560 1585086464 1604575232 1609853440 1638802820 1689026560 1719399680 1772267648 1794057824 1799959330 1803960320 1816115912 1859428352 1882290176 1888481920 1905433088 1911700960 1981358080 1999142912 2005719040 2104567832 2130443666 2208071168 2215334560 2235219584 2242572280 2270144890 2316664832 2324285440 2339947129 2345148416 2352862720 2381791360 2455026496 2468577280 2498928640 2575765504 2622084512 2630709790 2751039488 2760088960 2794024480 2879934928 2895831040 2915343964 2931435520 3021571072 3058721536 3068783120 3209150464 3219706880 3277605640 3419922727 3438799360 3544535296 3588115648 3599918660 3607920640 3632231824 3644179955 3718856704 3764580352 3776963840 3810866176 3823401920 3962716160 4011438080 4209135664 4260887332 4416142336 4430669120 4470439168 4485144560 4540289780 4648570880 4679894258 4690296832 4705725440 4763582720 4910052992 4997857280 4998348601 5151531008 5244169024 5261419580 5326109165 5502078976 5520177920 5588048960 5759869856 5791662080 5830687928 5862871040 6043142144 6117443072 6137566240 6418300928 6439413760 6555211280 6839845454 6877598720 7089070592 7176231296 7199837320 7264463648 7288359910 7437713408 7529160704 7553927680 7621732352 7646803840 7925432320 8022876160 8418271328 8521774664 8832284672 8861338240 8940878336 8970289120 9080579560 9297141760 9359788516 9380593664 9411450880 9527165440 9820105984 9995714560 9996697202 10303062016 10488338048 10522839160 10652218330 11004157952 11040355840 11176097920 11519739712 11583324160 11661375856 11699735645 11725742080 12086284288 12234886144 12275132480 12878827520 13110422560 13679690908 13755197440 13847883829 14178141184 14352462592 14399674640 14528927296 14576719820 15058321408 15107855360 15243464704 15293607680 16045752320 16836542656 17043549328 17099613635 17664569344 17722676480 17881756672 17940578240 18161159120 18594283520 18719577032 18822901760 19054330880 19640211968 19993394404 20606124032 20976676096 21045678320 21304436660 22008315904 22080711680 22352195840 23039479424 23322751712 23399471290 23451484160 24172568576 24469772288 24550264960 24991743005 25757655040 26220845120 27359381816 27510394880 27695767658 28356282368 28704925184 28799349280 29057854592 29153439640 30116642816 30215710720 30486929408 30587215360 32091504640 33673085312 34087098656 34199227270 35329138688 35445352960 35763513344 35881156480 36322318240 37188567040 37439154064 37645803520 38108661760 39280423936 39986788808 41953352192 42091356640 42608873320 44016631808 44161423360 44458995451 44704391680 46078958848 46645503424 46798942580 46902968320 48345137152 48939544576 49100529920 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196402119680 199933944040 209766760960 218875054528 220083159040 221566141264 222294977255 226850258944 229639401472 230394794240 232462836736 233227517120 241725685760 244697722880 259914127252 269384682496 272696789248 273593818160 276957676580 283562823680 286108106752 287049251840 290578545920 299513232512 304869294080 314243391488 319894310464 324892659065 335626817536 336730853120 340870986560 353291386880 355671963608 357635133440 368631670784 373164027392 374391540640 391516356608 392804239360 399867888080 419533521920 437750109056 443132282528 444589954510 453700517888 459278802944 460789588480 464925673472 466455034240 483451371520 489395445760 519828254504 538769364992 545393578496 547187636320 553915353160 567125647360 572216213504 574098503680 581157091840 599026465024 609738588160 628486782976 639788620928 649785318130 671253635072 673461706240 681741973120 706582773760 711343927216 715270266880 737263341568 746328054784 748783081280 785608478720 799735776160 839067043840 844720913569 875500218112 886264565056 889179909020 918557605888 921579176960 929851346944 932910068480 978790891520 1039656509008 1077538729984 1090787156992 1094375272640 1107830706320 1134251294720 1148197007360 1162314183680 1198052930048 1256973565952 1279577241856 1299570636260 1342507270144 1346923412480 1363483946240 1422687854432 1430540533760 1474526683136 1492656109568 1497566162560 1571216957440 1599471552320 1678134087680 1689441827138 1751000436224 1772529130112 1778359818040 1837115211776 1843158353920 1859702693888 1865820136960 1957581783040 2079313018016 2155077459968 2181574313984 2188750545280 2215661412640 2268502589440 2296394014720 2324628367360 2396105860096 2559154483712 2599141272520 2685014540288 2693846824960 2726967892480 2845375708864 2861081067520 2949053366272 2985312219136 2995132325120 3142433914880 3198943104640 3356268175360 3378883654276 3502000872448 3545058260224 3556719636080 3686316707840 3719405387776 3731640273920 4158626036032 4223604567845 4310154919936 4363148627968 4377501090560 4431322825280 4592788029440 4649256734720 4792211720192 5118308967424 5198282545040 5387693649920 5453935784960 5690751417728 5898106732544 5970624438272 5990264650240 6284867829760 6397886209280 6712536350720 6757767308552 7004001744896 7090116520448 7113439272160 7372633415680 7438810775552 7463280547840 8317252072064 8447209135690 8620309839872 8726297255936 8755002181120 8862645650560 9185576058880 9298513469440 9584423440384 10236617934848 10396565090080 10775387299840 10907871569920 11381502835456 11941248876544 11980529300480 12795772418560 13425072701440 13515534617104 14008003489792 14180233040896 14226878544320 14745266831360 14926561095680 16634504144128 16894418271380 17452594511872 17510004362240 17725291301120 18597026938880 19168846880768 20473235869696 20793130180160 21550774599680 21815743139840 22763005670912 23882497753088 23961058600960 25591544837120 27031069234208 28016006979584 28360466081792 28453757088640 29490533662720 29853122191360 33269008288256 33788836542760 34905189023744 35020008724480 35450582602240 37194053877760 38337693761536 40946471739392 41586260360320 43101549199360 43631486279680 45526011341824 47922117201920 51183089674240 54062138468416 56032013959168 56720932163584 56907514177280 59706244382720 66538016576512 67577673085520 70040017448960 70901165204480 76675387523072 81892943478784 83172520720640 87262972559360 91052022683648 95844234403840 102366179348480 108124276936832 112064027918336 113441864327168 113815028354560 119412488765440 133076033153024 135155346171040 140080034897920 141802330408960 163785886957568 166345041441280 174525945118720 182104045367296 191688468807680 204732358696960 216248553873664 226883728654336 227630056709120 266152066306048 270310692342080 280160069795840 283604660817920 332690082882560 364208090734592 383376937615360 409464717393920 432497107747328 453767457308672 455260113418240 532304132612096 540621384684160 560320139591680 567209321635840 665380165765120 728416181469184 818929434787840 864994215494656 910520226836480 1064608265224192 1081242769368320 1134418643271680 1330760331530240 1456832362938368 1729988430989312 1821040453672960 2129216530448384 2162485538736640 2268837286543360 2661520663060480 3459976861978624 3642080907345920 4324971077473280 5323041326120960 6919953723957248 7284161814691840 8649942154946560 10646082652241920 13839907447914496 17299884309893120 27679814895828992 34599768619786240 69199537239572480 138399074479144960
- Sum of all divisors σ(n): 385921117510482150
- Sum of proper divisors (its aliquot sum) s(n): 247522043031337190
- 138399074479144960 is an abundant number, because the sum of its proper divisors (247522043031337190) is greater than itself. Its abundance is 109122968552192230
Bases of 138399074479144960
- Binary: 1111010111011000100111001100101111001001010000000000000002
- Hexadecimal: 0x1EBB13997928000
- Base-36: 11UQDL36O7WG
Squares and roots of 138399074479144960
- 138399074479144960 squared (1383990744791449602) is 19154303816683913781113972693401600
- 138399074479144960 cubed (1383990744791449603) is 2650937920521407554074873710523370551739401895936000
-
The
square root of 138399074479144960 is 372020260.8449504327 -
The
cube root of 138399074479144960 is 517262.5803556015
Scales and comparisons
How big is 138399074479144960?- 138,399,074,479,144,960 seconds is equal to 4,400,662,471 years, 51 weeks, 3 days, 22 hours, 2 minutes, 40 seconds.
-
To count from 1 to 138,399,074,479,144,960 would take you about thirteen billion, two hundred one million, nine hundred eighty-seven thousand, four hundred fifteen 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 138399074479144960 cubic inches would be around 43105.2 feet tall.
Recreational maths with 138399074479144960
- 138399074479144960 backwards is 069441974470993831
- The number of decimal digits it has is: 18
- The sum of 138399074479144960's digits is 88
- More coming soon!
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"Number 138399074479144960 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138399074479144960 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138399074479144960/
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The information we have on file for 138399074479144960 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!
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