382131006573568128

Names of 382131006573568128

• Cardinal: 382131006573568128 can be written as Three hundred eighty-two quadrillion, one hundred thirty-one trillion, six billion, five hundred seventy-three million, five hundred sixty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.82131006573568128 × 10¹⁷

Factors of 382131006573568128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 73457801039

Divisors of 382131006573568128

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 23 24 31 32 38 46 48 57 62 64 69 76 92 93 96 114 124 128 138 152 184 186 192 228 248 276 304 368 372 384 437 456 496 552 589 608 713 736 744 874 912 992 1104 1178 1216 1311 1426 1472 1488 1748 1767 1824 1984 2139 2208 2356 2432 2622 2852 2944 2976 3496 3534 3648 3968 4278 4416 4712 5244 5704 5952 6992 7068 7296 8556 8832 9424 10488 11408 11904 13547 13984 14136 17112 18848 20976 22816 27094 27968 28272 34224 37696 40641 41952 45632 54188 55936 56544 68448 75392 81282 83904 91264 108376 113088 136896 162564 167808 216752 226176 273792 325128 433504 650256 867008 1300512 1734016 2601024 5202048 73457800961 146915601922 220373402883 293831203844 440746805766 587662407688 881493611532 1175324815376 1395698218259 1689529422103 1762987223064 2277191829791 2350649630752 2791396436518 3379058844206 3525974446128 4187094654777 4554383659582 4701299261504 5068588266309 5582792873036 6758117688412 6831575489373 7051948892256 8374189309554 9108767319164 9402598523008 10137176532618 11165585746072 13516235376824 13663150978746 14103897784512 16748378619108 18217534638328 20274353065236 22331171492144 27032470753648 27326301957492 28207795569024 32101059019957 33496757238216 36435069276656 40548706130472 43266644766029 44662342984288 52375412085193 54064941507296 54652603914984 64202118039914 66993514476432 72870138553312 81097412260944 86533289532058 89324685968576 96303177059871 104750824170386 108129883014592 109305207829968 128404236079828 129799934298087 133987028952864 145740277106624 157126236255579 162194824521888 173066579064116 178649371937152 192606354119742 209501648340772 216259766029184 218610415659936 256808472159656 259599868596174 267974057905728 291480554213248 314252472511158 324389649043776 346133158128232 385212708239484 419003296681544 437220831319872 513616944319312 519199737192348 535948115811456 628504945022316 648779298087552 692266316256464 770425416478968 838006593363088 874441662639744 995132829618667 1027233888638624 1038399474384696 1257009890044632 1384532632512928 1540850832957936 1676013186726176 1990265659237334 2054467777277248 2076798948769392 2514019780089264 2769065265025856 2985398488856001 3081701665915872 3352026373452352 3980531318474668 4108935554554496 4153597897538784 5028039560178528 5538130530051712 5970796977712002 6163403331831744 6704052746904704 7961062636949336 8307195795077568 10056079120357056 11941593955424004 12326806663663488 15922125273898672 16614391590155136 20112158240714112 23883187910848008 31844250547797344 47766375821696016 63688501095594688 95532751643392032 127377002191189376 191065503286784064 382131006573568128
• Sum of all divisors σ(n): 1150878059231846400
• Sum of proper divisors (its aliquot sum) s(n): 768747052658278272
• 382131006573568128 is an abundant number, because the sum of its proper divisors (768747052658278272) is greater than itself. Its abundance is 386616046084710144

Bases of 382131006573568128

• Binary: 10101001101100110100010000000111000011110101110000010000000₂
• Hexadecimal: 0x54D9A20387AE080
• Base-36: 2WIM4WXZOWAO

Squares and roots of 382131006573568128

• 382131006573568128 squared (382131006573568128²) is 146024106184928367853333933457424384
• 382131006573568128 cubed (382131006573568128³) is 55800338680452272473095142209754760798901775632433152
• The square root of 382131006573568128 is 618167458.3586296545
• The cube root of 382131006573568128 is 725667.0873656009

Scales and comparisons

• 382,131,006,573,568,128 seconds is equal to 12,150,584,000 years, 11 weeks, 5 days, 23 hours, 8 minutes, 48 seconds.
• To count from 1 to 382,131,006,573,568,128 would take you about thirty-six billion, four hundred fifty-one million, seven hundred fifty-two thousand 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 382131006573568128 cubic inches would be around 60472.3 feet tall.

Recreational maths with 382131006573568128

• 382131006573568128 backwards is 821865375600131283
• 382131006573568128 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 382131006573568128's digits is 69
• More coming soon!