972729408849125

Names of 972729408849125

• Cardinal: 972729408849125 can be written as Nine hundred seventy-two trillion, seven hundred twenty-nine billion, four hundred eight million, eight hundred forty-nine thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 9.72729408849125 × 10¹⁴

Factors of 972729408849125

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 1971

Divisors of 972729408849125

• Number of divisors d(n): 256
• Complete list of divisors:
  1 5 17 25 53 61 85 125 265 281 305 425 461 901 1037 1093 1325 1405 1525 2125 2305 3233 4505 4777 5185 5465 6625 7025 7625 7837 11525 14893 16165 17141 18581 22525 23885 24433 25925 27325 28121 35125 39185 54961 57625 57929 66673 74465 80825 85705 92905 112625 119425 122165 129541 129625 136625 140605 195925 253181 274805 289645 291397 307133 333365 372325 404125 415361 428525 464525 478057 503873 597125 610825 647705 703025 908473 979625 984793 1133441 1265905 1374025 1448225 1456985 1490413 1535665 1666825 1861625 2076805 2142625 2202197 2322625 2390285 2519365 3054125 3238525 3515125 3533669 4542365 4923965 5221261 5667205 6329525 6865673 6870125 7241125 7284925 7452065 7678325 7902001 8334125 8565841 10384025 11010985 11951425 12596825 15444041 16192625 16278049 17668345 18735113 22711825 24619825 25337021 26106305 26705269 28336025 30736253 31647625 34328365 36424625 37260325 38391625 39510005 42829205 51920125 55054925 59757125 60072373 62984125 77220205 81390245 88341725 93675565 113559125 116716441 123099125 126685105 130531525 133526345 134334017 141588313 141680125 153681265 171641825 186301625 197550025 214146025 275274625 276726833 300361865 318496921 386101025 406951225 418806053 441708625 453989573 468377825 522516301 583582205 633425525 652657625 667631725 671670085 707941565 768406325 858209125 987750125 992960989 1070730125 1383634165 1501809325 1592484605 1629021409 1930505125 2034756125 2094030265 2269947865 2341889125 2407001321 2612581505 2917911025 3167127625 3338158625 3358350425 3539707825 3842031625 4964804945 6918170825 7119702901 7504180589 7509046625 7962423025 8145107045 8636887093 10470151325 11349739325 12035006605 13062907525 14589555125 16791752125 16880336813 17698539125 24824024725 27693363953 34590854125 35598514505 37520902945 39812115125 40725535225 43184435465 52350756625 56748696625 60175033025 65314537625 84401684065 124120123625 127571070013 138466819765 146827080581 177992572525 187604514725 203627676125 215922177325 300875165125 422008420325 457755015929 637855350065 692334098825 734135402905 889962862625 938022573625 1079610886625 2110042101625 2288775079645 3189276750325 3461670494125 3670677014525 7781835270793 11443875398225 15946383751625 18353385072625 38909176353965 57219376991125 194545881769825 972729408849125
• Sum of all divisors σ(n): 1339957298744064
• Sum of proper divisors (its aliquot sum) s(n): 367227889894939
• 972729408849125 is a deficient number, because the sum of its proper divisors (367227889894939) is less than itself. Its deficiency is 605501518954186

Bases of 972729408849125

• Binary: 11011101001011000100110110111000001000010011100101₂
• Hexadecimal: 0x374B136E084E5
• Base-36: 9KSXPYWE05

Squares and roots of 972729408849125

• 972729408849125 squared (972729408849125²) is 946202502839968181857013265625
• 972729408849125 cubed (972729408849125³) is 920399001239084768500596836938889389173828125
• The square root of 972729408849125 is 31188610.2423484879
• The cube root of 972729408849125 is 99082.5896145149

Scales and comparisons

• 972,729,408,849,125 seconds is equal to 30,929,786 years, 18 weeks, 2 days, 1 hour, 12 minutes, 5 seconds.
• To count from 1 to 972,729,408,849,125 would take you about seventy-seven million, three hundred twenty-four thousand, four hundred sixty-five 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 972729408849125 cubic inches would be around 8256.9 feet tall.

Recreational maths with 972729408849125

• 972729408849125 backwards is 521948804927279
• The number of decimal digits it has is: 15
• The sum of 972729408849125's digits is 77
• More coming soon!