131376613900328216

Names of 131376613900328216

• Cardinal: 131376613900328216 can be written as One hundred thirty-one quadrillion, three hundred seventy-six trillion, six hundred thirteen billion, nine hundred million, three hundred twenty-eight thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.31376613900328216 × 10¹⁷

Factors of 131376613900328216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 654

Divisors of 131376613900328216

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 163 196 266 326 361 392 463 532 652 722 926 931 1064 1141 1304 1444 1852 1862 2282 2527 2888 3097 3241 3704 3724 4564 5054 6194 6482 7448 7987 8797 9128 10108 12388 12964 15974 17594 17689 20216 21679 22687 24776 25928 26569 31948 35188 35378 43358 45374 53138 58843 61579 63896 70376 70756 75469 86716 90748 106276 117686 123158 141512 150938 151753 167143 173432 181496 185983 212552 214369 235372 246316 301876 303506 334286 371966 411901 428738 431053 470744 492632 504811 528283 603752 607012 668572 743932 823802 857476 862106 1009622 1056566 1170001 1214024 1301881 1337144 1433911 1487864 1500583 1647604 1714952 1724212 2019244 2113132 2340002 2603762 2867822 2883307 3001166 3295208 3448424 3533677 3697981 4038488 4073011 4226264 4330747 4680004 5207524 5735644 5766614 6002332 7067354 7395962 8146022 8190007 8661494 9360008 9591409 10037377 10415048 10504081 11471288 11533228 12004664 12301447 14134708 14791924 16292044 16380014 17322988 19182818 20074754 21008162 23066456 24602894 24735739 27244309 28269416 28511077 29583848 30315229 32584088 32760028 34645976 34942147 38365636 40149508 42016324 49205788 49471478 54488618 57022154 60630458 65520056 67139863 69884294 70261639 76731272 77387209 80299016 82284193 84032648 86110129 98411576 98942956 108977236 114044308 121260916 134279726 139768588 140523278 154774418 164568386 172220258 190710163 197885912 199577539 212206603 217954472 228088616 233727493 242521832 244595029 268559452 279537176 281046556 309548836 329136772 344440516 381420326 399155078 424413206 467454986 469979041 489190058 537118904 541710463 562093112 575989351 602770903 619097672 658273544 663900793 688881032 762840652 798310156 848826412 934909972 939958082 978380116 1083420926 1151978702 1205541806 1327801586 1334971141 1525681304 1563399667 1596620312 1636092451 1697652824 1712165203 1869819944 1879916164 1956760232 2005135861 2166841852 2303957404 2411083612 2655603172 2669942282 3126799334 3272184902 3424330406 3759832328 3791973241 4010271722 4031925457 4333683704 4440822367 4607914808 4647305551 4822167224 5311206344 5339884564 5695569961 6253598668 6544369804 6848660812 7583946482 8020543444 8063850914 8881644734 9294611102 10679769128 10943797669 11391139922 11452647157 12507197336 12614115067 13088739608 13697321624 14035951027 15167892964 16041086888 16127701828 17763289468 18589222204 21887595338 22782279844 22905294314 25228230134 28071902054 30335785928 31085756569 32255403656 32531138857 35526578936 37178444408 38097581359 39868989727 43775190676 45564559688 45810588628 50456460268 56143804108 62171513138 65062277714 76195162718 76606583683 79737979454 87550381352 88298805469 91621177256 98251657189 100912920536 108215829259 112287608216 124343026276 130124555428 152390325436 153213167366 159475958908 176597610938 196503314378 216431658518 217600295983 248686052552 260249110856 266683069513 279082928089 304780650872 306426334732 318951917816 353195221876 393006628756 432863317036 435200591966 533366139026 558165856178 612852669464 618091638283 706390443752 723854045821 757510804813 786013257512 865726634072 870401183932 928377903643 1066732278052 1116331712356 1236183276566 1447708091642 1515021609626 1740802367864 1856755807286 1866781486591 2056100755921 2133464556104 2232663424712 2472366553132 2895416183284 3030043219252 3713511614572 3733562973182 4112201511842 4944733106264 5066978320747 5302575633691 5790832366568 6060086438504 6498645325501 7427023229144 7467125946364 8224403023684 10133956641494 10605151267382 12997290651002 14392705291447 14934251892728 16448806047368 17639180169217 20267913282988 21210302534764 25994581302004 28785410582894 35278360338434 35468848245229 40535826565976 42420605069528 45490517278507 51989162604008 57570821165788 70556720676868 70937696490458 90981034557014 100748937040129 115141642331576 123474261184519 141113441353736 141875392980916 181962069114028 201497874080258 246948522369038 283750785961832 335144423215123 363924138228056 402995748160516 493897044738076 670288846430246 805991496321032 864319828291633 987794089476152 1340577692860492 1728639656583266 2346010962505861 2681155385720984 3457279313166532 4692021925011722 6914558626333064 9384043850023444 16422076737541027 18768087700046888 32844153475082054 65688306950164108 131376613900328216
• Sum of all divisors σ(n): 304949191301134200
• Sum of proper divisors (its aliquot sum) s(n): 173572577400805984
• 131376613900328216 is an abundant number, because the sum of its proper divisors (173572577400805984) is greater than itself. Its abundance is 42195963500477768

Bases of 131376613900328216

• Binary: 111010010101111100101010110010011010100101001110100011000₂
• Hexadecimal: 0x1D2BE5593529D18
• Base-36: ZXL4F8GLR88

Squares and roots of 131376613900328216

• 131376613900328216 squared (131376613900328216²) is 17259814679915913023415712525742656
• 131376613900328216 cubed (131376613900328216³) is 2267536009194529937078251004996780139574867551581696
• The square root of 131376613900328216 is 362459120.3161098773
• The cube root of 131376613900328216 is 508361.5416426863

Scales and comparisons

• 131,376,613,900,328,216 seconds is equal to 4,177,369,947 years, 25 weeks, 10 hours, 16 minutes, 56 seconds.
• To count from 1 to 131,376,613,900,328,216 would take you about twelve billion, five hundred thirty-two million, one hundred nine thousand, eight hundred forty-two 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 131376613900328216 cubic inches would be around 42363.5 feet tall.

Recreational maths with 131376613900328216

• 131376613900328216 backwards is 612823009316673131
• The number of decimal digits it has is: 18
• The sum of 131376613900328216's digits is 62
• More coming soon!