138788518514688

Names of 138788518514688

• Cardinal: 138788518514688 can be written as One hundred thirty-eight trillion, seven hundred eighty-eight billion, five hundred eighteen million, five hundred fourteen thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.38788518514688 × 10¹⁴

Factors of 138788518514688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 10545910

Divisors of 138788518514688

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 84 96 102 108 112 119 126 128 136 144 153 168 189 192 204 216 224 238 252 256 272 288 306 336 357 378 384 408 432 448 459 476 504 512 544 576 612 672 714 756 768 816 864 896 918 952 1008 1024 1071 1088 1152 1224 1344 1428 1512 1536 1632 1728 1792 1836 1904 2016 2048 2142 2176 2304 2448 2688 2856 3024 3072 3213 3264 3456 3584 3672 3808 4032 4096 4284 4352 4608 4896 5376 5712 6048 6144 6426 6528 6912 7168 7344 7616 8064 8568 8704 9216 9792 10752 11424 12096 12288 12852 13056 13824 14336 14688 15232 16128 17136 17408 18432 19584 21504 22848 24192 25704 26112 27648 28672 29376 30464 32256 34272 34816 36864 39168 43008 45696 48384 51408 52224 55296 58752 60928 64512 68544 69632 78336 86016 91392 96768 102816 104448 110592 117504 121856 129024 137088 156672 182784 193536 205632 208896 235008 243712 258048 274176 313344 365568 387072 411264 470016 487424 548352 626688 731136 774144 822528 940032 1096704 1462272 1645056 1880064 2193408 3290112 4386816 6580224 10545881 13160448 21091762 31637643 42183524 63275286 73821167 84367048 94912929 126550572 147642334 168734096 179279977 189825858 221463501 253101144 284738787 295284668 337468192 358559954 379651716 442927002 506202288 537839931 569477574 590569336 664390503 674936384 717119908 759303432 885854004 1012404576 1075679862 1138955148 1181138672 1254959839 1328781006 1349872768 1434239816 1518606864 1613519793 1771708008 1993171509 2024809152 2151359724 2277910296 2362277344 2509919678 2657562012 2699745536 2868479632 3037213728 3227039586 3543416016 3764879517 3986343018 4049618304 4302719448 4555820592 4724554688 4840559379 5019839356 5315124024 5399491072 5736959264 6074427456 6454079172 7086832032 7529759034 7972686036 8099236608 8605438896 9111641184 9449109376 9681118758 10039678712 10630248048 10798982144 11294638551 11473918528 12148854912 12908158344 14173664064 15059518068 15945372072 16198473216 17210877792 18223282368 18898218752 19362237516 20079357424 21260496096 21597964288 22589277102 22947837056 24297709824 25816316688 28347328128 30119036136 31890744144 32396946432 33883915653 34421755584 36446564736 37796437504 38724475032 40158714848 42520992192 43195928576 45178554204 45895674112 48595419648 51632633376 56694656256 60238072272 63781488288 64793892864 67767831306 68843511168 72893129472 75592875008 77448950064 80317429696 85041984384 90357108408 91791348224 97190839296 103265266752 113389312512 120476144544 127562976576 129587785728 135535662612 137687022336 145786258944 151185750016 154897900128 160634859392 170083968768 180714216816 183582696448 194381678592 206530533504 226778625024 240952289088 255125953152 271071325224 275374044672 291572517888 302371500032 309795800256 321269718784 340167937536 361428433632 367165392896 388763357184 413061067008 453557250048 481904578176 510251906304 542142650448 550748089344 583145035776 619591600512 642539437568 680335875072 722856867264 734330785792 826122134016 907114500096 963809156352 1020503812608 1084285300896 1101496178688 1166290071552 1239183201024 1285078875136 1360671750144 1445713734528 1652244268032 1927618312704 2041007625216 2168570601792 2202992357376 2478366402048 2570157750272 2721343500288 2891427469056 3304488536064 3855236625408 4082015250432 4337141203584 4956732804096 5140315500544 5782854938112 6608977072128 7710473250816 8164030500864 8674282407168 9913465608192 11565709876224 15420946501632 17348564814336 19826931216384 23131419752448 34697129628672 46262839504896 69394259257344 138788518514688
• Sum of all divisors σ(n): 497556400101120
• Sum of proper divisors (its aliquot sum) s(n): 358767881586432
• 138788518514688 is an abundant number, because the sum of its proper divisors (358767881586432) is greater than itself. Its abundance is 219979363071744

Bases of 138788518514688

• Binary: 11111100011101000111000010110000101000000000000₂
• Hexadecimal: 0x7E3A38585000
• Base-36: 1D72KCIDC0

Squares and roots of 138788518514688

• 138788518514688 squared (138788518514688²) is 19262252871501893769671737344
• 138788518514688 cubed (138788518514688³) is 2673379539291042676413740472983823342108672
• The square root of 138788518514688 is 11780853.8958213041
• The cube root of 138788518514688 is 51774.7304627029

Scales and comparisons

• 138,788,518,514,688 seconds is equal to 4,413,045 years, 30 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 138,788,518,514,688 would take you about eleven million, thirty-two thousand, six hundred thirteen 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 138788518514688 cubic inches would be around 4314.6 feet tall.

Recreational maths with 138788518514688

• 138788518514688 backwards is 886415815887831
• The number of decimal digits it has is: 15
• The sum of 138788518514688's digits is 81
• More coming soon!