138264535031977090
138,264,535,031,977,090 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138264535031977090 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 648 divisors.
138264535031977090 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138264535031977090:
2 × 5 × 112 × 372 × 61 × 712 × 5212
(2 × 5 × 11 × 11 × 37 × 37 × 61 × 71 × 71 × 521 × 521)See below for interesting mathematical facts about the number 138264535031977090 from the Numbermatics database.
Names of 138264535031977090
- Cardinal: 138264535031977090 can be written as One hundred thirty-eight quadrillion, two hundred sixty-four trillion, five hundred thirty-five billion, thirty-one million, nine hundred seventy-seven thousand and ninety.
Scientific notation
- Scientific notation: 1.3826453503197709 × 1017
Factors of 138264535031977090
Divisors of 138264535031977090
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 5 10 11 22 37 55 61 71 74 110 121 122 142 185 242 305 355 370 407 521 605 610 671 710 781 814 1042 1210 1342 1369 1562 2035 2257 2605 2627 2738 3355 3905 4070 4331 4477 4514 5041 5210 5254 5731 6710 6845 7381 7810 8591 8662 8954 10082 11285 11462 13135 13690 14762 15059 17182 19277 21655 22385 22570 24827 25205 26270 28655 28897 30118 31781 36905 36991 38554 42955 43310 44770 47641 49654 50410 55451 57310 57794 63041 63562 73810 73982 75295 83509 85910 95282 96385 97199 110902 124135 126082 144485 150590 158905 160247 165649 167018 184955 186517 192770 194398 212047 238205 248270 271441 273097 277255 288970 307501 315205 317810 317867 320494 331298 349591 369910 373034 406901 417545 424094 476410 485995 524051 542882 546194 554510 609961 615002 630410 635734 699182 713249 801235 813802 828245 835090 918599 932585 971990 1048102 1060235 1069189 1175897 1219922 1357205 1365485 1368667 1426498 1537505 1589335 1602470 1656490 1747955 1762717 1837198 1865170 2034505 2051687 2120470 2138378 2256451 2332517 2351794 2620255 2626361 2714410 2730970 2737334 2985851 3049805 3075010 3178670 3382511 3495910 3525434 3566245 3845501 4069010 4103374 4475911 4512902 4592995 4665034 5240510 5252722 5345945 5879485 5929139 5971702 6099610 6765022 6843335 6901129 7132490 7691002 7845739 8813585 8951822 9185990 10043317 10104589 10258435 10691890 11282255 11377537 11662585 11758970 11761079 11858278 12934867 13131805 13686670 13802258 14929255 15055337 15691478 16557901 16912555 17627170 19227505 19272311 19389887 20086634 20209178 20516870 22379555 22564510 22568557 22755074 23325170 23522158 24820961 25869734 26263610 28889971 29645695 29858510 30110674 32844361 33115802 33825110 34505645 37207621 38455010 38544622 38779774 39228695 43508189 44759110 45137114 49641922 50216585 50522945 50640679 56887685 57779942 58805395 59291390 64674335 65220529 65688722 69011290 74415242 75276685 75912419 78457390 82789505 83488687 86303129 87016378 96361555 96949435 97175357 100433170 101045890 101281358 110476487 112842785 113775370 117610790 124104805 125152907 129348670 130441058 142283537 144449855 150553370 151824838 160208021 164221805 165579010 165608707 166977374 172606258 182136911 186038105 192723110 193898870 194350714 211995421 217540945 220952974 225685570 248209610 250305814 253203395 273030571 284567074 288899710 317789681 320416042 326102645 328443610 331217414 364273822 371602729 372076210 379562095 417443435 420968869 423990842 431515645 435081890 478590079 485876785 506406790 546061142 552382435 557047469 612642337 625764535 635579362 652205290 711417685 713075507 717425819 743205458 759124190 801040105 828043535 834886870 835036609 841937738 863031290 910684555 918375557 957180158 971753570 1059977105 1068928927 1104764870 1114094938 1175610971 1215241357 1225284674 1251529070 1365152855 1368334081 1376681977 1422835370 1426151014 1434851638 1588948405 1602080210 1656087070 1670073218 1762288231 1821369110 1836751114 1858013645 2003506021 2104844345 2119954210 2137857854 2331949631 2351221942 2392950395 2430482714 2730305710 2736668162 2753363954 2785237345 3063211685 3089081419 3177896810 3524576462 3565377535 3587129095 3595488209 3716027290 4007012042 4087630019 4175183045 4209688690 4591877785 4630657559 4663899262 4785900790 5264490869 5344644635 5570474690 5878054855 5927696777 6076206785 6126423370 6127522159 6178162838 6739065707 6841670405 6883409885 7130755070 7174258190 7190976418 7843830577 8175260038 8350366090 8811441155 9183755570 9261315118 10017530105 10102131127 10528981738 10689289270 11659748155 11756109710 11758218197 11855393554 12152413570 12255044318 12931720681 13478131414 13683340810 13766819770 15051674891 15445407095 15687661154 17622882310 17977441045 19385170541 20035060210 20204262254 20438150095 22667766469 23153287795 23319496310 23516436394 25863441362 26322454345 26383793759 29638483885 30103349782 30637610795 30890814190 33695328535 33979895609 35954882090 38770341082 39219152885 39550370299 40876300190 43497605927 44963930209 45335532938 46306575590 50510655635 50628360997 50937233149 52644908690 52767587518 58791090985 59276967770 61275221590 64658603405 65204664547 67390657070 67959791218 74129722777 75258374455 78438305770 79100740598 83468378941 86282136347 86995211854 89927860418 96925852705 101021311270 101256721994 101874466298 113338832345 117582181970 129317206810 130409329094 131918968795 142248927491 148259445554 150516748910 165568423801 166936757882 169899478045 172564272694 193851705410 197751851495 217488029635 219324780749 224819651045 226677664690 249345431159 253141804985 254686165745 263837937590 284497854982 290221731349 326023322735 331136847602 339798956090 370648613885 373778851699 395503702990 417341894705 431410681735 434976059270 435054073289 438649561498 449639302090 478473665197 498690862318 506283609970 509372331490 556911970967 580443462698 652046645470 711244637455 717251310017 741297227770 747557703398 827842119005 834683789410 862821363470 870108146578 918152168351 956947330394 1096623903745 1113823941934 1246727155795 1422489274910 1434502620034 1451108656745 1609411419299 1655684238010 1836304336702 1868894258495 1873249356889 2175270366445 2193247807490 2392368325985 2412572588239 2493454311590 2742799742749 2784559854835 2902217313490 3088330020817 3192439044839 3218822838598 3586256550085 3737788516990 3746498713778 4350540732890 4590760841755 4784736651970 4825145176478 5263210317167 5485599485498 5569119709670 6126031680637 6176660041634 6384878089678 7172513100170 8047057096495 9181521683510 9366246784445 10099673851861 10526420634334 12062862941195 12252063361274 13713998713745 15441650104085 15962195224195 16094114192990 17703525612289 18732493568890 20199347703722 20605742925779 24125725882390 26316051585835 26538298470629 27427997427490 30630158403185 30883300208170 31924390448390 33971630228987 35407051224578 41211485851558 50498369259305 52632103171670 53076596941258 61260316806370 67943260457974 88517628061445 100996738518610 103028714628895 114268210770229 132691492353145 169858151144935 177035256122890 194738781735179 206057429257790 226663172183569 228536421540458 265382984706290 339716302289870 373687932518857 389477563470358 453326344367138 571341053851145 747375865037714 973693908675895 1133315860917845 1142682107702290 1256950318472519 1868439662594285 1947387817351790 2266631721835690 2513900636945038 3736879325188570 6284751592362595 12569503184725190 13826453503197709 27652907006395418 69132267515988545 138264535031977090
- Sum of all divisors σ(n): 290399289133498524
- Sum of proper divisors (its aliquot sum) s(n): 152134754101521434
- 138264535031977090 is an abundant number, because the sum of its proper divisors (152134754101521434) is greater than itself. Its abundance is 13870219069544344
Bases of 138264535031977090
- Binary: 1111010110011011011011100101011111001110110010100100000102
- Hexadecimal: 0x1EB36DCAF9D9482
- Base-36: 11TEOQIPJ8UA
Squares and roots of 138264535031977090
- 138264535031977090 squared (1382645350319770902) is 19117081647608819960028834284868100
- 138264535031977090 cubed (1382645350319770903) is 2643214405174975994055040879644983819355812871829000
-
The
square root of 138264535031977090 is 371839394.1367389465 -
The
cube root of 138264535031977090 is 517094.9135689659
Scales and comparisons
How big is 138264535031977090?- 138,264,535,031,977,090 seconds is equal to 4,396,384,533 years, 37 weeks, 6 days, 12 hours, 18 minutes, 10 seconds.
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To count from 1 to 138,264,535,031,977,090 would take you about thirteen billion, one hundred eighty-nine million, one hundred fifty-three thousand, six hundred one 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 138264535031977090 cubic inches would be around 43091.2 feet tall.
Recreational maths with 138264535031977090
- 138264535031977090 backwards is 090779130535462831
- The number of decimal digits it has is: 18
- The sum of 138264535031977090's digits is 73
- More coming soon!
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The information we have on file for 138264535031977090 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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