972829006409728

Names of 972829006409728

• Cardinal: 972829006409728 can be written as Nine hundred seventy-two trillion, eight hundred twenty-nine billion, six million, four hundred nine thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 9.72829006409728 × 10¹⁴

Factors of 972829006409728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 2031

Divisors of 972829006409728

• Number of divisors d(n): 390
• Complete list of divisors:
  1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 208 232 256 338 377 416 464 512 676 754 832 841 928 1024 1352 1508 1664 1682 1856 1987 2048 2704 3016 3328 3364 3712 3974 4096 4901 5408 6032 6656 6728 7424 7948 9802 10816 10933 12064 13312 13456 14848 15896 19604 21632 21866 24128 24389 25831 26624 26912 29696 31792 39208 43264 43732 48256 48778 51662 53248 53824 57623 59392 63584 78416 86528 87464 96512 97556 103324 107648 115246 118784 127168 142129 156832 173056 174928 193024 195112 206648 215296 230492 254336 284258 313664 317057 335803 346112 349856 386048 390224 413296 430592 460984 508672 568516 627328 634114 671606 692224 699712 707281 749099 772096 780448 826592 861184 921968 1017344 1137032 1254656 1268228 1343212 1399424 1414562 1498198 1544192 1560896 1653184 1671067 1722368 1843936 2034688 2274064 2509312 2536456 2686424 2798848 2829124 2996396 3121792 3306368 3342134 3444736 3687872 4069376 4121741 4548128 5018624 5072912 5372848 5597696 5658248 5992792 6243584 6612736 6684268 7375744 8138752 8243482 9096256 9194653 9738287 10037248 10145824 10745696 11195392 11316496 11985584 12487168 13225472 13368536 14751488 16486964 18192512 18389306 19476574 20074496 20291648 21491392 21723871 22390784 22632992 23971168 24974336 26450944 26737072 29502976 32973928 36385024 36778612 38953148 40583296 42982784 43447742 44781568 45265984 47942336 48460943 49948672 52901888 53474144 59005952 65947856 72770048 73557224 77906296 81166592 85965568 86895484 90531968 95884672 96921886 99897344 105803776 106948288 118011904 119530489 131895712 145540096 147114448 155812592 162333184 171931136 173790968 181063936 191769344 193843772 213896576 236023808 239060978 263791424 282410323 291080192 294228896 311625184 324666368 343862272 347581936 362127872 383538688 387687544 427793152 478121956 527582848 564820646 582160384 588457792 623250368 629992259 649332736 687724544 695163872 724255744 767077376 775375088 855586304 956243912 1055165696 1129641292 1176915584 1246500736 1259984518 1298665472 1375449088 1390327744 1405367347 1448511488 1534154752 1550750176 1711172608 1912487824 2110331392 2259282584 2353831168 2493001472 2519969036 2780655488 2810734694 2897022976 3068309504 3101500352 3422345216 3824975648 4220662784 4518565168 4707662336 4986002944 5039938072 5561310976 5621469388 6203000704 6844690432 7649951296 8189899367 8441325568 9037130336 9415324672 9972005888 10079876144 11122621952 11242938776 12406001408 15299902592 16379798734 16882651136 18074260672 18269775511 18830649344 19944011776 20159752288 22245243904 22485877552 24812002816 30599805184 32759597468 36148521344 36539551022 37661298688 39888023552 40319504576 44490487808 44971755104 49624005632 61199610368 65519194936 72297042688 73079102044 80639009152 88980975616 89943510208 99248011264 122399220736 131038389872 144594085376 146158204088 161278018304 179887020416 198496022528 237507081643 244798441472 262076779744 289188170752 292316408176 322556036608 359774040832 475014163286 489596882944 524153559488 578376341504 584632816352 645112073216 719548081664 950028326572 1048307118976 1156752683008 1169265632704 1290224146432 1439096163328 1900056653144 2096614237952 2338531265408 2580448292864 2878192326656 3800113306288 4193228475904 4677062530816 5756384653312 7600226612576 8386456951808 9354125061632 15200453225152 16772913903616 18708250123264 30400906450304 33545827807232 37416500246528 60801812900608 74833000493056 121603625801216 243207251602432 486414503204864 972829006409728
• Sum of all divisors σ(n): 2182912524791124
• Sum of proper divisors (its aliquot sum) s(n): 1210083518381396
• 972829006409728 is an abundant number, because the sum of its proper divisors (1210083518381396) is greater than itself. Its abundance is 237254511971668

Bases of 972829006409728

• Binary: 11011101001100100001100111010110101011000000000000₂
• Hexadecimal: 0x374C8675AB000
• Base-36: 9KU7H4PRLS

Squares and roots of 972829006409728

• 972829006409728 squared (972829006409728²) is 946396275712138602108613033984
• 972829006409728 cubed (972829006409728³) is 920681748570906791678534647054056741092196352
• The square root of 972829006409728 is 31190206.8991170367
• The cube root of 972829006409728 is 99085.9711809767

Scales and comparisons

• 972,829,006,409,728 seconds is equal to 30,932,953 years, 12 weeks, 5 days, 14 hours, 15 minutes, 28 seconds.
• To count from 1 to 972,829,006,409,728 would take you about seventy-seven million, three hundred thirty-two thousand, three hundred eighty-three 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 972829006409728 cubic inches would be around 8257.2 feet tall.

Recreational maths with 972829006409728

• 972829006409728 backwards is 827904600928279
• The number of decimal digits it has is: 15
• The sum of 972829006409728's digits is 73
• More coming soon!