138109974060800
138,109,974,060,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138109974060800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138109974060800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138109974060800:
28 × 52 × 73 × 19 × 472 × 1499
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 19 × 47 × 47 × 1499)See below for interesting mathematical facts about the number 138109974060800 from the Numbermatics database.
Names of 138109974060800
- Cardinal: 138109974060800 can be written as One hundred thirty-eight trillion, one hundred nine billion, nine hundred seventy-four million, sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381099740608 × 1014
Factors of 138109974060800
Divisors of 138109974060800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 47 49 50 56 64 70 76 80 94 95 98 100 112 128 133 140 152 160 175 188 190 196 200 224 235 245 256 266 280 304 320 329 343 350 376 380 392 400 448 470 475 490 532 560 608 640 658 665 686 700 752 760 784 800 893 896 931 940 950 980 1064 1120 1175 1216 1225 1280 1316 1330 1372 1400 1499 1504 1520 1568 1600 1645 1715 1786 1792 1862 1880 1900 1960 2128 2209 2240 2303 2350 2432 2450 2632 2660 2744 2800 2998 3008 3040 3136 3200 3290 3325 3430 3572 3724 3760 3800 3920 4256 4418 4465 4480 4606 4655 4700 4864 4900 5264 5320 5488 5600 5996 6016 6080 6251 6272 6400 6517 6580 6650 6860 7144 7448 7495 7520 7600 7840 8225 8512 8575 8836 8930 8960 9212 9310 9400 9800 10493 10528 10640 10976 11045 11200 11515 11992 12032 12160 12502 12544 13034 13160 13300 13720 14288 14896 14990 15040 15200 15463 15680 16121 16450 17024 17150 17672 17860 18424 18620 18800 19600 20986 21056 21280 21952 22090 22325 22400 23030 23275 23984 24320 25004 26068 26320 26600 27440 28481 28576 29792 29980 30080 30400 30926 31255 31360 32242 32585 32900 34048 34300 35344 35720 36848 37240 37475 37600 39200 41971 41972 42112 42560 43757 43904 44180 44650 44800 46060 46550 47968 50008 52136 52465 52640 53200 54880 55225 56962 57152 57575 59584 59960 60160 60800 61852 62510 62720 64484 65170 65800 68600 70453 70688 71440 73451 73696 74480 74950 75200 77315 78400 80605 83942 83944 84224 85120 87514 87808 88360 89300 92120 93100 95936 100016 104272 104930 105280 106400 108241 109760 110450 113924 114304 115150 119168 119920 121600 123704 125020 128968 130340 131600 137200 140906 141376 142405 142880 146902 147392 148960 149900 150400 154630 156275 156800 161210 162925 167884 167888 170240 175028 176720 178600 184240 186200 191872 199367 200032 208544 209855 209860 210560 212800 216482 218785 219520 220900 227848 228608 230300 238336 239840 247408 250040 257936 260680 262325 263200 274400 281812 282752 284810 285760 293797 293804 294784 297920 299800 300800 306299 309260 312550 313600 322420 325850 335768 335776 350056 352265 353440 357200 367255 368480 372400 383744 386575 398734 400064 403025 417088 419710 419720 421120 425600 432964 437570 439040 441800 455696 460600 479680 493171 494816 500080 514157 515872 521360 524650 526400 541205 548800 563624 565504 569620 571520 587594 587608 589568 595840 599600 612598 618520 625100 644840 651700 671536 671552 700112 704530 706880 712025 714400 734510 736960 744800 757687 773150 797468 800128 806050 834176 839420 839440 851200 865928 875140 883600 911392 921200 959360 986342 989632 996835 1000160 1028314 1031744 1042720 1049275 1049300 1052800 1082410 1093925 1097600 1127248 1139240 1143040 1175188 1175216 1191680 1199200 1225196 1237040 1250200 1289680 1303400 1338607 1343072 1343104 1395569 1400224 1409060 1413760 1424050 1428800 1468985 1469020 1473920 1489600 1515374 1531495 1546300 1594936 1600256 1612100 1668352 1678840 1678880 1731856 1750280 1761325 1767200 1822784 1836275 1842400 1918720 1972684 1979264 1993670 2000320 2056579 2056628 2063488 2085440 2098550 2098600 2105600 2164820 2187850 2195200 2254496 2278480 2350376 2350432 2398400 2450392 2465855 2474080 2500400 2570785 2579360 2606800 2677214 2686144 2686208 2706025 2791138 2800448 2818120 2827520 2848100 2857600 2937970 2938040 2947840 2979200 3030748 3062990 3092600 3189872 3224200 3311291 3357680 3357760 3452197 3463712 3500560 3522650 3534400 3645568 3672550 3684800 3788435 3945368 3958528 3987340 4000640 4113158 4113256 4126976 4170880 4197100 4197200 4329640 4375700 4508992 4556960 4700752 4700864 4796800 4900784 4931710 4948160 4984175 5000800 5141570 5158720 5213600 5354428 5372288 5412050 5582276 5600896 5636240 5696200 5715200 5875940 5876080 5958400 6061496 6125980 6185200 6379744 6448400 6622582 6693035 6715360 6715520 6904394 6927424 6977845 7001120 7045300 7068800 7291136 7344925 7345100 7369600 7576870 7657475 7890736 7974680 8001280 8226316 8226512 8341760 8394200 8394400 8659280 8751400 9017984 9113920 9370249 9401504 9401728 9593600 9768983 9801568 9863420 9896320 9968350 10001600 10282895 10283140 10317440 10427200 10708856 10744576 10824100 11164552 11201792 11272480 11392400 11751880 11752160 12122992 12251960 12329275 12370400 12759488 12853925 12896800 13245164 13386070 13430720 13431040 13808788 13854848 13955690 14002240 14090600 14137600 14396053 14689850 14690200 14739200 15153740 15314950 15781472 15949360 16452632 16453024 16556455 16788400 16788800 17260985 17318560 17502800 18035968 18227840 18740498 18803008 18803456 18942175 19537966 19603136 19726840 19792640 19936700 20003200 20565790 20566280 20634880 20854400 21417712 21648200 22329104 22544960 22784800 23179037 23503760 23504320 24165379 24245984 24503920 24658550 24740800 25518976 25707850 25793600 26490328 26772140 26861440 27617576 27709696 27911380 28004480 28181200 28792106 29379700 29380400 30307480 30629900 31562944 31898720 32905264 32906048 33112910 33465175 33576800 33577600 34521970 34637120 34889225 35005600 36455680 37480996 37606016 37884350 39075932 39206272 39453680 39873400 40006400 41131580 41132560 41708800 42835424 43296400 44658208 45089920 45569600 46358074 46851245 47007520 47008640 48330758 48491968 48844915 49007840 49317100 49481600 51037952 51414475 51415700 51587200 52980656 53544280 53722880 55235152 55822760 56008960 56362400 57584212 58759400 58760800 60614960 61259800 62914529 63125888 63797440 65591743 65810528 65812096 66225820 66930350 67153600 67155200 69043940 69274240 69778450 70011200 71980265 74961992 75212032 75768700 78151864 78412544 78907360 79746800 82263160 82265120 82782275 85670848 86304925 86592800 89316416 90179840 91139200 92716148 93702490 94015040 94017280 96661516 96983936 97689830 98015680 98634200 98963200 102828950 102831400 103174400 105961312 107088560 110470304 111645520 112724800 115168424 115895185 117518800 117521600 120826895 121229920 122519600 125829058 126251776 127594880 131183486 131621056 131624192 132451640 133860700 134307200 138087880 138548480 139556900 140022400 143960530 149923984 151537400 156303728 157814720 159493600 162253259 164526320 164530240 165564550 171341696 172609850 173185600 178632832 182278400 185432296 187404980 188030080 193323032 193967872 195379660 196031360 197268400 205657900 205662800 211922624 214177120 220940608 223291040 225449600 230336848 231790370 234256225 235037600 235043200 241653790 242459840 244224575 245039200 251658116 255189760 262366972 263242112 264903280 267721400 268614400 276175760 279113800 280044800 287921060 299847968 303074800 312607456 314572645 315629440 318987200 324506518 327958715 329052640 329060480 331129100 342683392 345219700 346371200 357265664 359901325 370864592 374809960 376060160 386646064 390759320 392062720 394536800 411315800 411325600 423845248 428354240 440401703 441881216 446582080 450899200 459142201 460673696 463580740 468512450 470075200 470086400 483307580 484919680 488449150 490078400 503316232 524733944 526484224 529806560 535442800 552351520 558227600 575842120 579475925 599695936 604134475 606149600 625214912 629145290 631258880 637974400 649013036 655917430 658105280 658120960 662258200 690439400 692742400 719802650 741729184 749619920 773292128 781518640 789073600 811266295 822631600 822651200 847690496 856708480 880803406 883762432 893164160 918284402 921347392 927161480 937024900 940150400 966615160 969839360 976898300 980156800 1006632464 1049467888 1059613120 1070885600 1104703040 1116455200 1135772813 1151684240 1158951850 1199391872 1208268950 1212299200 1250429824 1258290580 1275948800 1298026072 1311834860 1316210560 1324516400 1380878800 1439605300 1483458368 1499239840 1546584256 1563037280 1572863225 1578147200 1622532590 1639793575 1645263200 1645302400 1713416960 1761606812 1786328320 1836568804 1842694784 1854322960 1874049800 1880300800 1933230320 1953796600 1960313600 2013264928 2098935776 2119226240 2141771200 2202008515 2209406080 2232910400 2271545626 2295711005 2303368480 2317903700 2398783744 2416537900 2424598400 2500859648 2516581160 2596052144 2623669720 2632421120 2649032800 2761757600 2879210600 2966916736 2998479680 3082811921 3093168512 3126074560 3145726450 3156294400 3245065180 3279587150 3290526400 3290604800 3523213624 3673137608 3685389568 3708645920 3748099600 3866460640 3907593200 4026529856 4056331475 4197871552 4238452480 4283542400 4404017030 4418812160 4465820800 4543091252 4591422010 4606736960 4635807400 4833075800 4849196800 5033162320 5192104288 5247339440 5298065600 5523515200 5678864065 5758421200 5933833472 5996959360 6165623842 6186337024 6252149120 6291452900 6490130360 6559174300 6581052800 7046427248 7346275216 7417291840 7496199200 7732921280 7815186400 8053059712 8112662950 8395743104 8567084800 8808034060 8931641600 9086182504 9182844020 9213473920 9271614800 9666151600 10066324640 10384208576 10494678880 10596131200 11010042575 11047030400 11357728130 11478555025 11516842400 11993918720 12331247684 12504298240 12582905800 12980260720 13118348600 13162105600 14092854496 14692550432 14834583680 14992398400 15414059605 15465842560 15630372800 16106119424 16225325900 16791486208 17616068120 18172365008 18365688040 18426947840 18543229600 19332303200 20132649280 20768417152 20989357760 21192262400 21579683447 22020085150 22094060800 22715456260 22957110050 23033684800 24662495368 25165811600 25960521440 26236697200 28185708992 28394320325 29385100864 29669167360 29984796800 30828119210 30931685120 31260745600 32450651800 35232136240 36344730016 36731376080 37086459200 38664606400 40265298560 41536834304 41978715520 43159366894 44040170300 45430912520 45914220100 46067369600 49324990736 50331623200 51921042880 52473394400 56371417984 56788640650 58770201728 59969593600 61656238420 62521491200 64901303600 70464272480 72689460032 73462752160 74172918400 77070298025 77329212800 80530597120 83957431040 86318733788 88080340600 90861825040 91828440200 92134739200 98649981472 100663246400 103842085760 104946788800 107898417235 112742835968 113577281300 117540403456 123312476840 129802607200 140928544960 145378920064 146925504320 148345836800 154140596050 154658425600 172637467576 176160681200 181723650080 183656880400 197299962944 201326492800 207684171520 209893577600 215796834470 227154562600 246624953680 259605214400 281857089920 290757840128 293851008640 308281192100 345274935152 352321362400 363447300160 367313760800 394599925888 402652985600 419787155200 431593668940 454309125200 493249907360 519210428800 539492086175 563714179840 587702017280 616562384200 690549870304 704642724800 726894600320 734627521600 789199851776 863187337880 908618250400 986499814720 1038420857600 1078984172350 1233124768400 1381099740608 1409285449600 1453789200640 1469255043200 1726374675760 1817236500800 1972999629440 2157968344700 2466249536800 2762199481216 2818570899200 2938510086400 3452749351520 3634473001600 3945999258880 4315936689400 4932499073600 5524398962432 6905498703040 7268946003200 8631873378800 9864998147200 13810997406080 17263746757600 19729996294400 27621994812160 34527493515200 69054987030400 138109974060800
- Sum of all divisors σ(n): 429037644000000
- Sum of proper divisors (its aliquot sum) s(n): 290927669939200
- 138109974060800 is an abundant number, because the sum of its proper divisors (290927669939200) is greater than itself. Its abundance is 152817695878400
Bases of 138109974060800
- Binary: 111110110011100001110111111000110011111000000002
- Hexadecimal: 0x7D9C3BF19F00
- Base-36: 1CYEUGNTVK
Squares and roots of 138109974060800
- 138109974060800 squared (1381099740608002) is 19074364935074848842096640000
- 138109974060800 cubed (1381099740608003) is 2634360046409420449688447865486835712000000
-
The
square root of 138109974060800 is 11752019.9991661009 -
The
cube root of 138109974060800 is 51690.2161100115
Scales and comparisons
How big is 138109974060800?- 138,109,974,060,800 seconds is equal to 4,391,469 years, 50 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,109,974,060,800 would take you about ten million, nine hundred seventy-eight thousand, six hundred seventy-four 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 138109974060800 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138109974060800
- 138109974060800 backwards is 008060479901831
- 138109974060800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138109974060800's digits is 56
- 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 138109974060800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138109974060800 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138109974060800/
Chicago style:
Numbermatics. 2024. "Number 138109974060800 - Facts about the integer". https://numbermatics.com/n/138109974060800/
The information we have on file for 138109974060800 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 138109974060800, math, Factors of 138109974060800, curriculum, school, college, exams, university, Prime factorization of 138109974060800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred nine billion, nine hundred seventy-four million, sixty thousand, eight hundred.