972120110016

Names of 972120110016

• Cardinal: 972120110016 can be written as Nine hundred seventy-two billion, one hundred twenty million, one hundred ten thousand and sixteen.

Scientific notation

• Scientific notation: 9.72120110016 × 10¹¹

Factors of 972120110016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 158

Divisors of 972120110016

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 113 116 121 132 174 176 192 226 232 242 264 319 339 348 352 363 452 464 484 528 638 678 696 704 726 904 928 957 968 1056 1243 1276 1356 1392 1452 1808 1856 1914 1936 2112 2486 2552 2712 2784 2904 3277 3509 3616 3729 3828 3872 4972 5104 5424 5568 5808 6554 7018 7232 7458 7656 7744 9831 9944 10208 10527 10848 11616 12769 13108 13673 14036 14916 15312 19662 19888 20416 21054 21696 23232 25538 26216 27346 28072 29832 30624 36047 38307 39324 39776 41019 42108 51076 52432 54692 56144 59664 61248 72094 76614 78648 79552 82038 84216 102152 104864 108141 109384 112288 119328 140459 144188 153228 157296 164076 168432 204304 209728 216282 218768 224576 238656 280918 288376 306456 314592 328152 336864 370301 396517 408608 421377 432564 437536 561836 576752 612912 629184 656304 673728 740602 793034 817216 842754 865128 875072 1110903 1123672 1153504 1189551 1225824 1312608 1442897 1481204 1545049 1586068 1685508 1730256 2221806 2247344 2307008 2379102 2451648 2625216 2885794 2962408 3090098 3172136 3371016 3460512 4073311 4328691 4443612 4494688 4635147 4758204 5771588 5924816 6180196 6344272 6742032 6921024 8146622 8657382 8887224 8989376 9270294 9516408 11543176 11849632 12219933 12360392 12688544 13484064 15871867 16293244 17314764 17774448 18540588 19032816 23086352 23699264 24439866 24720784 25377088 26968128 31743734 32586488 34629528 35548896 37081176 38065632 41844013 44806421 46172704 47615601 48879732 49441568 63487468 65172976 69259056 71097792 74162352 76131264 83688026 89612842 92345408 95231202 97759464 98883136 125532039 126974936 130345952 134419263 138518112 148324704 167376052 174590537 179225684 190462404 195518928 251064078 253949872 260691904 268838526 277036224 296649408 334752104 349181074 358451368 380924808 391037856 460284143 502128156 507899744 523771611 537677052 669504208 698362148 716902736 761849616 782075712 920568286 1004256312 1015799488 1047543222 1075354104 1339008416 1380852429 1396724296 1433805472 1523699232 1841136572 2008512624 2095086444 2150708208 2678016832 2761704858 2793448592 2867610944 3047398464 3682273144 4017025248 4190172888 4301416416 5063125573 5523409716 5586897184 7364546288 8034050496 8380345776 8602832832 10126251146 11046819432 11173794368 14729092576 15189376719 16760691552 20252502292 22093638864 29458185152 30378753438 33521383104 40505004584 44187277728 60757506876 81010009168 88374555456 121515013752 162020018336 243030027504 324040036672 486060055008 972120110016
• Sum of all divisors σ(n): 2950749597600
• Sum of proper divisors (its aliquot sum) s(n): 1978629487584
• 972120110016 is an abundant number, because the sum of its proper divisors (1978629487584) is greater than itself. Its abundance is 1006509377568

Bases of 972120110016

• Binary: 1110001001010110110111111011001111000000₂
• Hexadecimal: 0xE256DFB3C0
• Base-36: CEL37PHC

Squares and roots of 972120110016

• 972120110016 squared (972120110016²) is 945017508297519943520256
• 972120110016 cubed (972120110016³) is 918670524133231280354865369044484096
• The square root of 972120110016 is 985961.5154842505
• The cube root of 972120110016 is 9906.1897489473

Scales and comparisons

• 972,120,110,016 seconds is equal to 30,910 years, 21 weeks, 3 days, 3 hours, 53 minutes, 36 seconds.
• To count from 1 to 972,120,110,016 would take you about sixty-one thousand, eight hundred twenty 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 972120110016 cubic inches would be around 825.5 feet tall.

Recreational maths with 972120110016

• 972120110016 backwards is 610011021279
• The number of decimal digits it has is: 12
• The sum of 972120110016's digits is 30
• More coming soon!