272151880535808

Names of 272151880535808

• Cardinal: 272151880535808 can be written as Two hundred seventy-two trillion, one hundred fifty-one billion, eight hundred eighty million, five hundred thirty-five thousand, eight hundred eight.

Scientific notation

• Scientific notation: 2.72151880535808 × 10¹⁴

Factors of 272151880535808

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 432679424

Divisors of 272151880535808

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 182 189 192 208 216 224 234 252 256 273 288 312 336 351 364 378 384 416 432 448 468 504 546 576 624 672 702 728 756 768 819 832 864 896 936 1008 1092 1152 1248 1344 1404 1456 1512 1638 1664 1728 1792 1872 2016 2184 2304 2457 2496 2688 2808 2912 3024 3276 3328 3456 3744 4032 4368 4914 4992 5376 5616 5824 6048 6552 6912 7488 8064 8736 9828 9984 11232 11648 12096 13104 14976 16128 17472 19656 22464 23296 24192 26208 29952 34944 39312 44928 48384 52416 69888 78624 89856 104832 157248 209664 314496 628992 432679399 865358798 1298038197 1730717596 2596076394 3028755793 3461435192 3894114591 5192152788 5624832187 6057511586 6922870384 7788229182 9086267379 10384305576 11249664374 11682343773 12115023172 13845740768 15576458364 16874496561 18172534758 20768611152 22499328748 23364687546 24230046344 27258802137 27691481536 31152916728 33748993122 36345069516 39373825309 41537222304 44998657496 46729375092 48460092688 50623489683 54517604274 55382963072 62305833456 67497986244 72690139032 78747650618 81776406411 83074444608 89997314992 93458750184 96920185376 101246979366 109035208548 110765926144 118121475927 124611666912 134995972488 145380278064 151870469049 157495301236 163552812822 166148889216 179994629984 186917500368 193840370752 202493958732 218070417096 236242951854 249223333824 269991944976 290760556128 303740938098 314990602472 327105625644 332297778432 354364427781 359989259968 373835000736 387680741504 404987917464 436140834192 472485903708 498446667648 539983889952 581521112256 607481876196 629981204944 654211251288 708728855562 719978519936 747670001472 775361483008 809975834928 872281668384 944971807416 996893335296 1063093283343 1079967779904 1163042224512 1214963752392 1259962409888 1308422502576 1417457711124 1439957039872 1495340002944 1619951669856 1744563336768 1889943614832 2126186566686 2159935559808 2326084449024 2429927504784 2519924819776 2616845005152 2834915422248 2990680005888 3239903339712 3489126673536 3779887229664 4252373133372 4319871119616 4859855009568 5039849639552 5233690010304 5669830844496 6479806679424 6978253347072 7559774459328 8504746266744 9719710019136 10079699279104 10467380020608 11339661688992 12959613358848 15119548918656 17009492533488 19439420038272 20934760041216 22679323377984 30239097837312 34018985066976 38878840076544 45358646755968 68037970133952 90717293511936 136075940267904 272151880535808
• Sum of all divisors σ(n): 990524296832000
• Sum of proper divisors (its aliquot sum) s(n): 718372416296192
• 272151880535808 is an abundant number, because the sum of its proper divisors (718372416296192) is greater than itself. Its abundance is 446220535760384

Bases of 272151880535808

• Binary: 111101111000010101001100001010100000111100000000₂
• Hexadecimal: 0xF7854C2A0F00
• Base-36: 2OGWUIX1C0

Squares and roots of 272151880535808

• 272151880535808 squared (272151880535808²) is 74066646079176709325170212864
• 272151880535808 cubed (272151880535808³) is 20157377015428071797450119021038585734234112
• The square root of 272151880535808 is 16497026.4149575757
• The cube root of 272151880535808 is 64804.2934378839

Scales and comparisons

• 272,151,880,535,808 seconds is equal to 8,653,587 years, 50 weeks, 6 days, 17 hours, 16 minutes, 48 seconds.
• To count from 1 to 272,151,880,535,808 would take you about twenty-one million, six hundred thirty-three thousand, nine hundred sixty-nine 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 272151880535808 cubic inches would be around 5400.4 feet tall.

Recreational maths with 272151880535808

• 272151880535808 backwards is 808535088151272
• 272151880535808 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 272151880535808's digits is 63
• More coming soon!