12538389937290048

Names of 12538389937290048

• Cardinal: 12538389937290048 can be written as Twelve quadrillion, five hundred thirty-eight trillion, three hundred eighty-nine billion, nine hundred thirty-seven million, two hundred ninety thousand and forty-eight.

Scientific notation

• Scientific notation: 1.2538389937290048 × 10¹⁶

Factors of 12538389937290048

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 143797

Divisors of 12538389937290048

• Number of divisors d(n): 294
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 243 288 312 324 351 416 432 468 486 576 624 648 702 729 832 864 936 972 1053 1248 1296 1404 1458 1728 1872 1944 2106 2496 2592 2808 2916 3159 3744 3888 4212 5184 5616 5832 6318 7488 7776 8424 9477 11232 11664 12636 15552 16848 18954 22464 23328 25272 33696 37908 46656 50544 67392 75816 101088 143779 151632 202176 287558 303264 431337 575116 606528 862674 1150232 1294011 1725348 1869127 2300464 2588022 3450696 3738254 3882033 4600928 5176044 5607381 6901392 7476508 7764066 9201856 10352088 11214762 11646099 13802784 14953016 15528132 16822143 20704176 22429524 23292198 27605568 29906032 31056264 33644286 34938297 41408352 44859048 46584396 50466429 59812064 62112528 67288572 69876594 82816704 89718096 93168792 100932858 104814891 119624128 124225056 134577144 139753188 151399287 179436192 186337584 201865716 209629782 248450112 269154288 279506376 302798574 358872384 372675168 403731432 419259564 454197861 538308576 559012752 605597148 745350336 807462864 838519128 908395722 1076617152 1118025504 1211194296 1362593583 1614925728 1677038256 1816791444 2236051008 2422388592 2725187166 3229851456 3354076512 3633582888 4844777184 5450374332 6708153024 7267165776 9689554368 10900748664 14534331552 20672400841 21801497328 29068663104 41344801682 43602994656 62017202523 82689603364 87205989312 124034405046 165379206728 186051607569 248068810092 268741210933 330758413456 372103215138 496137620184 537482421866 558154822707 661516826912 744206430276 806223632799 992275240368 1074964843732 1116309645414 1323033653824 1488412860552 1612447265598 1674464468121 1984550480736 2149929687464 2232619290828 2418670898397 2976825721104 3224894531196 3348928936242 3969100961472 4299859374928 4465238581656 4837341796794 5023393404363 5953651442208 6449789062392 6697857872484 7256012695191 8599718749856 8930477163312 9674683593588 10046786808726 11907302884416 12899578124784 13395715744968 14512025390382 15070180213089 17199437499712 17860954326624 19349367187176 20093573617452 21768038085573 25799156249568 26791431489936 29024050780764 30140360426178 35721908653248 38698734374352 40187147234904 43536076171146 51598312499136 53582862979872 58048101561528 60280720852356 65304114256719 77397468748704 80374294469808 87072152342292 107165725959744 116096203123056 120561441704712 130608228513438 154794937497408 160748588939616 174144304684584 195912342770157 232192406246112 241122883409424 261216457026876 321497177879232 348288609369168 391824685540314 464384812492224 482245766818848 522432914053752 696577218738336 783649371080628 964491533637696 1044865828107504 1393154437476672 1567298742161256 2089731656215008 3134597484322512 4179463312430016 6269194968645024 12538389937290048
• Sum of all divisors σ(n): 40174072279398834
• Sum of proper divisors (its aliquot sum) s(n): 27635682342108786
• 12538389937290048 is an abundant number, because the sum of its proper divisors (27635682342108786) is greater than itself. Its abundance is 15097292404818738

Bases of 12538389937290048

• Binary: 101100100010111001100101100110010001000111101101000000₂
• Hexadecimal: 0x2C8B9966447B40
• Base-36: 3FGHKTH1000

Squares and roots of 12538389937290048

• 12538389937290048 squared (12538389937290048²) is 157211222219536333817978079842304
• 12538389937290048 cubed (12538389937290048³) is 1971175606706503973331541220532563926596948590592
• The square root of 12538389937290048 is 111974952.2763463739
• The cube root of 12538389937290048 is 232316.7859417103

Scales and comparisons

• 12,538,389,937,290,048 seconds is equal to 398,682,016 years, 11 weeks, 2 days, 19 hours, 40 minutes, 48 seconds.
• To count from 1 to 12,538,389,937,290,048 would take you about one billion, one hundred ninety-six million, forty-six thousand and forty-eight 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 12538389937290048 cubic inches would be around 19359.7 feet tall.

Recreational maths with 12538389937290048

• 12538389937290048 backwards is 84009273998383521
• 12538389937290048 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12538389937290048's digits is 81
• More coming soon!