971057120117346912

Names of 971057120117346912

• Cardinal: 971057120117346912 can be written as Nine hundred seventy-one quadrillion, fifty-seven trillion, one hundred twenty billion, one hundred seventeen million, three hundred forty-six thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 9.71057120117346912 × 10¹⁷

Factors of 971057120117346912

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 53781685

Divisors of 971057120117346912

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1236 1248 1339 1648 2472 2678 3296 4017 4944 5356 8034 9888 10712 16068 21424 32136 42848 64272 128544 140831 281662 422493 563324 844986 1126648 1689972 1830803 2253296 3379944 3661606 4506592 5492409 6759888 7323212 10984818 13519776 14505593 14646424 21969636 29011186 29292848 43516779 43939272 53640733 58022372 58585696 87033558 87878544 107281466 116044744 160922199 174067116 175757088 188572709 214562932 232089488 321844398 348134232 377145418 429125864 464178976 565718127 643688796 696268464 697329529 754290836 858251728 1131436254 1287377592 1392536928 1394659058 1508581672 1716503456 2091988587 2262872508 2574755184 2789318116 3017163344 4183977174 4525745016 5149510368 5524995499 5578636232 6034326688 8367954348 9051490032 11049990998 11157272464 16574986497 16735908696 18102980064 22099981996 22314544928 33149972994 33471817392 44199963992 66299945988 66943634784 71824941487 88399927984 132599891976 143649882974 176799855968 215474824461 265199783952 287299765948 430949648922 530399567904 574599531896 861899297844 1149199063792 1723798595688 2298398127584 3447597191376 6895194382752 7554278069123 15108556138246 22662834207369 30217112276492 45325668414738 60434224552984 90651336829476 98205614898599 120868449105968 181302673658952 196411229797198 241736898211936 294616844695797 362605347317904 392822459594396 589233689391594 725210694635808 778090641119669 785644919188792 1178467378783188 1556181282239338 1571289838377584 2334271923359007 2356934757566376 3112362564478676 3142579676755168 4668543846718014 4713869515132752 6224725128957352 9337087693436028 9427739030265504 10115178334555697 12449450257914704 18674175386872056 20230356669111394 24898900515829408 30345535003667091 37348350773744112 40460713338222788 60691070007334182 74696701547488224 80921426676445576 121382140014668364 161842853352891152 242764280029336728 323685706705782304 485528560058673456 971057120117346912
• Sum of all divisors σ(n): 2771775007999635456
• Sum of proper divisors (its aliquot sum) s(n): 1800717887882288544
• 971057120117346912 is an abundant number, because the sum of its proper divisors (1800717887882288544) is greater than itself. Its abundance is 829660767764941632

Bases of 971057120117346912

• Binary: 110101111001111000110100111001001101001101010101001001100000₂
• Hexadecimal: 0xD79E34E4D355260
• Base-36: 7DLF0QJA0BXC

Squares and roots of 971057120117346912

• 971057120117346912 squared (971057120117346912²) is 942951930530595508828997177755935744
• 971057120117346912 cubed (971057120117346912³) is 915660186070132643900624476401958581340071429228822528
• The square root of 971057120117346912 is 985422305.4697650347
• The cube root of 971057120117346912 is 990257.7705528739

Scales and comparisons

• 971,057,120,117,346,912 seconds is equal to 30,876,612,742 years, 43 weeks, 6 days, 5 hours, 15 minutes, 12 seconds.
• To count from 1 to 971,057,120,117,346,912 would take you about ninety-two billion, six hundred twenty-nine million, eight hundred thirty-eight thousand, two hundred twenty-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 971057120117346912 cubic inches would be around 82521.5 feet tall.

Recreational maths with 971057120117346912

• 971057120117346912 backwards is 219643711021750179
• The number of decimal digits it has is: 18
• The sum of 971057120117346912's digits is 66
• More coming soon!