138361994416512

Names of 138361994416512

• Cardinal: 138361994416512 can be written as One hundred thirty-eight trillion, three hundred sixty-one billion, nine hundred ninety-four million, four hundred sixteen thousand, five hundred twelve.

Scientific notation

• Scientific notation: 1.38361994416512 × 10¹⁴

Factors of 138361994416512

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 67

Divisors of 138361994416512

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 43 48 57 64 72 76 86 96 114 128 129 144 152 171 172 192 228 258 288 304 342 344 384 387 456 516 576 608 684 688 774 817 912 1032 1152 1216 1368 1376 1548 1634 1824 1849 2064 2432 2451 2736 2752 3096 3268 3648 3698 4128 4902 5472 5504 5547 6192 6536 7296 7353 7396 8256 9804 10944 11094 12384 13072 14706 14792 16512 16641 19608 21888 22188 24768 26144 29412 29584 33282 35131 39216 44376 49536 52288 58824 59168 66564 70262 78432 79507 88752 104576 105393 117648 118336 133128 140524 156864 159014 177504 210786 235296 236672 238521 266256 281048 313728 316179 318028 355008 421572 470592 477042 532512 562096 632358 636056 710016 715563 843144 941184 954084 1065024 1124192 1264716 1272112 1431126 1510633 1686288 1908168 2130048 2248384 2529432 2544224 2862252 3021266 3372576 3418801 3816336 4496768 4531899 5058864 5088448 5724504 6042532 6745152 6837602 7632672 9063798 10117728 10176896 10256403 11449008 12085064 13490304 13595697 13675204 15265344 18127596 20235456 20512806 22898016 24170128 27191394 27350408 30530688 30769209 36255192 40470912 41025612 45796032 48340256 54382788 54700816 61538418 64957219 72510384 82051224 91592064 96680512 108765576 109401632 123076836 129914438 145020768 147008443 164102448 193361024 194871657 217531152 218803264 246153672 259828876 290041536 294016886 328204896 389743314 435062304 437606528 441025329 492307344 519657752 580083072 584614971 588033772 656409792 779486628 870124608 882050658 984614688 1039315504 1169229942 1176067544 1312819584 1323075987 1558973256 1740249216 1764101316 1969229376 2078631008 2338459884 2352135088 2646151974 2793160417 3117946512 3528202632 3938458752 4157262016 4676919768 4704270176 5292303948 5586320834 6235893024 6321363049 7056405264 8314524032 8379481251 9353839536 9408540352 10584607896 11172641668 12471786048 12642726098 14112810528 16758962502 18707679072 18817080704 18964089147 21169215792 22345283336 24943572096 25138443753 25285452196 28225621056 33517925004 37415358144 37928178294 42338431584 44690566672 50276887506 50570904392 56451242112 56892267441 67035850008 74830716288 75856356588 84676863168 89381133344 100553775012 101141808784 113784534882 120105897931 134071700016 151712713176 169353726336 178762266688 201107550024 202283617568 227569069764 240211795862 268143400032 303425426352 357524533376 360317693793 402215100048 404567235136 455138139528 480423591724 536286800064 606850852704 720635387586 804430200096 809134470272 910276279056 960847183448 1072573600128 1080953081379 1213701705408 1441270775172 1608860400192 1820552558112 1921694366896 2161906162758 2427403410816 2882541550344 3217720800384 3641105116224 3843388733792 4323812325516 5765083100688 7282210232448 7686777467584 8647624651032 11530166201376 15373554935168 17295249302064 23060332402752 34590498604128 46120664805504 69180997208256 138361994416512
• Sum of all divisors σ(n): 429085093245900
• Sum of proper divisors (its aliquot sum) s(n): 290723098829388
• 138361994416512 is an abundant number, because the sum of its proper divisors (290723098829388) is greater than itself. Its abundance is 152361104412876

Bases of 138361994416512

• Binary: 11111011101011011101001100001110001000110000000₂
• Hexadecimal: 0x7DD6E9871180
• Base-36: 1D1MMF2OW0

Squares and roots of 138361994416512

• 138361994416512 squared (138361994416512²) is 19144041498914897863338246144
• 138361994416512 cubed (138361994416512³) is 2648807762982337117473861171801390713929728
• The square root of 138361994416512 is 11762737.5392173059
• The cube root of 138361994416512 is 51721.6381005097
• Being both a perfect square and a perfect cube, 138361994416512 is also a perfect sixth number.

Scales and comparisons

• 138,361,994,416,512 seconds is equal to 4,399,483 years, 22 weeks, 6 days, 9 hours, 55 minutes, 12 seconds.
• To count from 1 to 138,361,994,416,512 would take you about ten million, nine hundred ninety-eight thousand, seven hundred 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 138361994416512 cubic inches would be around 4310.1 feet tall.

Recreational maths with 138361994416512

• 138361994416512 backwards is 215614499163831
• The number of decimal digits it has is: 15
• The sum of 138361994416512's digits is 63
• More coming soon!