34139934520128

Names of 34139934520128

• Cardinal: 34139934520128 can be written as Thirty-four trillion, one hundred thirty-nine billion, nine hundred thirty-four million, five hundred twenty thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.4139934520128 × 10¹³

Factors of 34139934520128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 485

Divisors of 34139934520128

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 243 276 288 324 368 414 432 457 486 552 576 621 648 736 828 864 914 972 1104 1242 1296 1371 1472 1656 1728 1828 1863 1944 2208 2484 2592 2742 3312 3656 3726 3888 4113 4416 4968 5184 5484 5589 6624 7312 7452 7776 8226 9936 10511 10968 11178 12339 13248 14624 14904 15552 16452 19872 21022 21936 22356 24678 29248 29808 31533 32904 37017 39744 42044 43872 44712 49356 59616 63066 65808 74034 84088 87744 89424 94599 98712 111051 119232 126132 131616 148068 168176 178848 189198 197424 208849 222102 252264 263232 283797 296136 336352 357696 378396 394848 417698 444204 504528 567594 592272 626547 672704 756792 789696 835396 851391 888408 1009056 1135188 1184544 1253094 1513584 1670792 1702782 1776816 1879641 2018112 2270376 2369088 2506188 2554173 3027168 3341584 3405564 3553632 3759282 4540752 4803527 5012376 5108346 5638923 6054336 6683168 6811128 7107264 7518564 9081504 9607054 10024752 10216692 11277846 13366336 13622256 14410581 15037128 16916769 18163008 19214108 20049504 20433384 22555692 27244512 28821162 30074256 33833538 38428216 40099008 40866768 43231743 45111384 50750307 54489024 57642324 60148512 67667076 76856432 81733536 86463486 90222768 95443993 101500614 115284648 120297024 129695229 135334152 153712864 163467072 172926972 180445536 190887986 203001228 230569296 259390458 270668304 286331979 307425728 345853944 360891072 381775972 389085687 406002456 461138592 518780916 541336608 572663958 691707888 763551944 778171374 812004912 858995937 922277184 1037561832 1082673216 1145327916 1167257061 1383415776 1527103888 1556342748 1624009824 1717991874 2075123664 2195211839 2290655832 2334514122 2576987811 2766831552 3054207776 3112685496 3248019648 3435983748 4150247328 4390423678 4581311664 4669028244 5153975622 6108415552 6225370992 6585635517 6871967496 7730963433 8300494656 8780847356 9162623328 9338056488 10307951244 12450741984 13171271034 13743934992 15461926866 17561694712 18325246656 18676112976 19756906551 20615902488 23192890299 24901483968 26342542068 27487869984 30923853732 35123389424 37352225952 39513813102 41231804976 46385780598 52685084136 54975739968 59270719653 61847707464 70246778848 74704451904 79027626204 82463609952 92771561196 105370168272 118541439306 123695414928 140493557696 158055252408 164927219904 177812158959 185543122392 210740336544 237082878612 247390829856 316110504816 355624317918 371086244784 421480673088 474165757224 494781659712 533436476877 632221009632 711248635836 742172489568 948331514448 1066872953754 1264442019264 1422497271672 1484344979136 1896663028896 2133745907508 2844994543344 3793326057792 4267491815016 5689989086688 8534983630032 11379978173376 17069967260064 34139934520128
• Sum of all divisors σ(n): 106124658057600
• Sum of proper divisors (its aliquot sum) s(n): 71984723537472
• 34139934520128 is an abundant number, because the sum of its proper divisors (71984723537472) is greater than itself. Its abundance is 37844789017344

Bases of 34139934520128

• Binary: 111110000110011010010101010110111001101000000₂
• Hexadecimal: 0x1F0CD2AB7340
• Base-36: C3NO3JO00

Squares and roots of 34139934520128

• 34139934520128 squared (34139934520128²) is 1165535129038627453637136384
• 34139934520128 cubed (34139934520128³) is 39791292986287680314363116304135129137152
• The square root of 34139934520128 is 5842938.8598656413
• The cube root of 34139934520128 is 32440.5016411587

Scales and comparisons

• 34,139,934,520,128 seconds is equal to 1,085,544 years, 16 weeks, 3 days, 28 minutes, 48 seconds.
• To count from 1 to 34,139,934,520,128 would take you about two million, seven hundred thirteen thousand, eight hundred sixty 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 34139934520128 cubic inches would be around 2703.4 feet tall.

Recreational maths with 34139934520128

• 34139934520128 backwards is 82102543993143
• 34139934520128 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34139934520128's digits is 54
• More coming soon!