131492888960646213
131,492,888,960,646,213 is an odd composite number composed of six prime numbers multiplied together.
What does the number 131492888960646213 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1350 divisors.
131492888960646213 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 131492888960646213:
32 × 74 × 112 × 13 × 372 × 414
(3 × 3 × 7 × 7 × 7 × 7 × 11 × 11 × 13 × 37 × 37 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 131492888960646213 from the Numbermatics database.
Names of 131492888960646213
- Cardinal: 131492888960646213 can be written as One hundred thirty-one quadrillion, four hundred ninety-two trillion, eight hundred eighty-eight billion, nine hundred sixty million, six hundred forty-six thousand, two hundred thirteen.
Scientific notation
- Scientific notation: 1.31492888960646213 × 1017
Factors of 131492888960646213
Divisors of 131492888960646213
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 3 7 9 11 13 21 33 37 39 41 49 63 77 91 99 111 117 121 123 143 147 231 259 273 287 333 343 363 369 407 429 441 451 481 533 539 637 693 777 819 847 861 1001 1029 1089 1221 1287 1353 1369 1443 1517 1573 1599 1617 1681 1813 1911 2009 2331 2401 2541 2583 2849 3003 3087 3157 3367 3663 3731 3773 4059 4107 4329 4459 4477 4551 4719 4797 4851 4961 5043 5291 5439 5733 5863 5929 6027 7007 7203 7623 8547 9009 9471 9583 10101 10619 11011 11193 11319 11767 12321 12691 13377 13431 13653 14063 14157 14883 15059 15129 15873 16317 16687 17589 17787 17797 18081 18491 19721 19943 21021 21609 21853 22099 23569 25641 26117 26411 28413 28749 30303 31213 31339 31857 33033 33579 33957 34727 35301 37037 38073 40131 40293 41041 41503 42189 44649 45177 47619 49049 50061 52767 53361 53391 55473 56129 58201 59163 59829 62197 63063 64493 65559 66297 67081 68921 70707 74333 77077 78351 79233 82369 86247 88837 93639 94017 95571 98441 99099 104181 105413 105903 111111 114219 116809 123123 124509 124579 126567 129437 135531 138047 139601 147147 150183 152971 154693 160173 164983 165649 166419 168387 174603 177489 179487 182819 183557 186591 193479 195767 196677 198891 201243 203401 206763 212121 216931 219373 222999 231231 235053 237699 240383 243089 247107 259259 266511 280917 282051 287287 290521 295323 312543 316239 333333 343343 350427 369369 373527 373737 388311 392903 407407 414141 418803 435379 441441 451451 458913 464079 469567 482447 494949 496947 505161 520331 523809 539539 548457 550671 559773 576583 580437 587301 603729 610203 617419 620289 650793 658119 668997 684167 693693 721149 729267 729677 737891 741321 758131 777777 799533 808561 817663 861861 871563 872053 885969 895973 906059 948717 966329 977207 1030029 1051281 1070797 1082851 1121211 1154881 1159543 1164933 1178709 1222221 1242423 1256409 1279733 1284899 1306137 1354353 1370369 1376739 1392237 1408701 1423807 1447341 1484847 1490841 1518517 1535611 1560993 1618617 1645371 1652013 1682681 1701623 1729749 1761903 1814813 1830609 1852257 1952379 1974357 2011009 2052501 2153437 2163447 2187801 2189031 2213673 2274393 2301289 2333331 2386241 2425683 2452989 2550077 2585583 2614689 2616159 2644213 2687919 2718177 2750321 2825761 2851849 2898987 2931621 3047653 3090087 3160157 3212391 3248553 3286969 3377129 3464643 3478629 3536127 3642317 3666663 3776773 3839199 3854697 3918411 4036081 4063059 4111107 4226103 4271421 4321933 4342023 4555551 4606833 4682979 4789169 4855851 5048043 5104869 5107739 5165237 5189247 5306917 5444439 5556771 5659927 5723641 6033027 6104371 6157503 6271811 6342413 6460311 6567093 6641019 6764303 6791609 6823179 6903867 7158723 7277049 7358967 7495579 7525837 7650231 7848477 7932639 8026447 8063757 8116801 8154531 8250963 8339441 8477283 8555547 8696961 8794863 8894171 8994293 9142959 9480471 9592583 9637173 9745659 9855703 9860907 9966649 10131387 10393929 10435887 10629619 10749277 10926951 11330319 11517597 11564091 11778767 11911361 12108243 12333321 12703691 12814263 12965799 13666653 13820499 14077063 14367507 15074059 15144129 15314607 15323217 15495711 15920751 16109023 16333317 16703687 16979781 17170923 17850539 18099081 18313113 18509491 18815433 19027239 19252247 19380933 19780327 19962943 20292909 20374827 20711601 21333571 21476169 22121099 22486737 22577511 22950693 23639903 23797917 24079341 24350403 24752889 25018323 25314179 25431849 25666641 26682513 26982879 27428877 28050847 28441413 28777749 29567109 29582721 29899947 29916757 30253531 30394161 31083371 31888857 32247831 32780853 33151001 33524183 33990957 35336301 35734083 35754173 36156659 36324729 36734893 37148419 38111073 38897397 39619489 40065487 42231189 42730597 43102521 43902677 44396891 45222177 45969651 46487133 47350121 47541263 47762253 48327069 50111061 50939343 51512769 52469053 52680859 53551617 54939339 55528473 56185129 56446299 56817607 57081717 57756741 58376087 59340981 59888829 60878727 61124481 62259197 62960051 64000713 66363297 67148081 67460211 67732533 68989921 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74631173771 76018479537 77274983331 78144870573 79595553401 79916863103 81237802989 84236693541 85629035583 86592964689 88200478093 88556523979 90851353593 92353028859 93343363113 94447201849 95510397367 95954366277 97089081621 100673121549 102337140087 102750252561 104657710157 105835845731 107585198553 111556702257 112875924161 113400614691 113858387973 117277558783 121432116663 122799082329 125078726773 127659404697 134559913059 136074658797 138600751289 145126188207 146759878881 148417031477 150785432721 150870205551 152568556833 160815505851 162625811733 164462115961 169062454869 173443493223 177376452253 178200965943 180206980569 180308294439 182338031337 189554873641 192194141139 196552284929 199801083027 202050250941 211986491717 212971886127 215490400671 217801180597 223893521313 226541190449 228055438611 234903950281 238786660203 239750589309 243713408967 251032129957 252710080623 260298971933 264601434279 265669571937 272554060779 280030089339 283341605547 286531192101 291267244863 297871944293 302019364647 313973130471 317507537193 322755595659 334670106771 338627772483 351832676349 352030479619 355993299277 375236180319 382978214091 394479061361 415802253867 420719353691 445251094431 452610616653 457705670499 466202527063 468084483889 493386347883 507187364607 532129356759 540924883317 547014094011 553190753687 559418041721 568664620923 589656854787 599403249081 606150752823 619895667853 635959475151 646471202013 653403541791 661130412943 668572781569 671680563939 679623571347 704711850843 716359980609 719251767927 732603971099 740850920117 753096389871 780896915799 790131469127 793804302837 797008715811 820942911481 850024816641 859593576303 875551087411 893615832879 941919391413 952522611579 970205259023 1015883317449 1038919220339 1055498029047 1056091438857 1067979897831 1125708540957 1151234811727 1183437184083 1241635165771 1247406761601 1262158061073 1326884115487 1335753283293 1375865994503 1398607581189 1404253451667 1480159043649 1524608264179 1596388070277 1659572261061 1678254125163 1705993862769 1768970564361 1859687003559 1907878425453 1960210625373 1983391238829 2005718344707 2038870714041 2085103610051 2114135552529 2197811913297 2222552760351 2259289169613 2342690747397 2370394407381 2462828734443 2464213357333 2491953094939 2626653262233 2680847498637 2761353429527 2910615777069 2945035475837 3116757661017 3168274316571 3203939693493 3263417689441 3276591387223 3453704435181 3550311552249 3724905497313 3786474183219 3872335275809 3915926292047 3980652346461 4127597983509 4195822743567 4212760355001 4339269674971 4573824792537 4627912890601 4978716783183 5034762375489 5128227797693 5579061010677 5950173716487 6017155034121 6085098290557 6255310830153 6593435739891 6667658281053 7111183222143 7272434542373 7388486203329 7392640071999 7475859284817 7879959786699 8058643682089 8284060288581 8691446160397 8731847331207 8835106427511 9288188808409 9350272983051 9631061961521 9790253068323 9829774161669 10361113305543 10672257849253 11174716491939 11617005827427 11747778876141 11941957039383 12382793950527 13017809024913 13721474377611 13883738671803 14595725270357 15384683393079 17249493501331 18255294871671 18765932490459 21817303627119 22177920215997 22427577854451 22936139710561 24175931046267 24852180865743 26074338481191 26505319282533 27106346930663 27411484044329 27864566425227 28893185884563 29370759204969 29489322485007 30374887724797 32016773547759 32395390234207 34851017482281 35243336628423 35897594583851 39053427074739 41651216015409 42595688033899 43787175811071 46154050179237 50907041796611 51748480503993 54765884615013 56410505774623 65451910881357 68808419131683 72527793138801 78223015443573 81319040791989 82234452132987 83593699275681 86679557653689 91124663174391 96050320643277 97186170702621 102170076892499 107692783751553 120746454509317 127787064101697 131361527433213 152721125389833 155245441511979 160552977973927 169231517323869 189744428514641 206425257395049 243957122375967 246703356398961 273373989523173 291558512107863 298169816237293 306510230677497 323078351254659 356349292576277 362239363527951 383361192305091 394873540422361 458163376169499 481658933921781 507694551971607 569233285543923 894509448711879 919530692032491 1069047877728831 1086718090583853 1123870845817489 1184620621267083 1328210999602487 1444976801765343 1707699856631769 2087188713661051 2683528346135637 3207143633186493 3371612537452467 3553861863801249 3984632998807461 6261566140983153 10114837612357401 11953898996422383 14610320995627357 18784698422949459 43830962986882071 131492888960646213
- Sum of all divisors σ(n): 276305496106286010
- Sum of proper divisors (its aliquot sum) s(n): 144812607145639797
- 131492888960646213 is an abundant number, because the sum of its proper divisors (144812607145639797) is greater than itself. Its abundance is 13319718184993584
Bases of 131492888960646213
- Binary: 1110100110010100000010101111110001111110100111100010001012
- Hexadecimal: 0x1D32815F8FD3C45
- Base-36: ZYQC79DDUF9
Squares and roots of 131492888960646213
- 131492888960646213 squared (1314928889606462132) is 17290379847216834710107434551241369
- 131492888960646213 cubed (1314928889606462133) is 2273561997337478279811040213525371419679047578785597
-
The
square root of 131492888960646213 is 362619482.3236145609 -
The
cube root of 131492888960646213 is 508511.4727893279
Scales and comparisons
How big is 131492888960646213?- 131,492,888,960,646,213 seconds is equal to 4,181,067,134 years, 38 weeks, 2 days, 12 hours, 23 minutes, 33 seconds.
-
To count from 1 to 131,492,888,960,646,213 would take you about twelve billion, five hundred forty-three million, two hundred one thousand, four hundred 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 131492888960646213 cubic inches would be around 42376 feet tall.
Recreational maths with 131492888960646213
- 131492888960646213 backwards is 312646069888294131
- The number of decimal digits it has is: 18
- The sum of 131492888960646213's digits is 81
- More coming soon!
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"Number 131492888960646213 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 131492888960646213 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/131492888960646213/
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The information we have on file for 131492888960646213 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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