29971833347514368

Names of 29971833347514368

• Cardinal: 29971833347514368 can be written as Twenty-nine quadrillion, nine hundred seventy-one trillion, eight hundred thirty-three billion, three hundred forty-seven million, five hundred fourteen thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 2.9971833347514368 × 10¹⁶

Factors of 29971833347514368

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 832

Divisors of 29971833347514368

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 811 1024 1216 1444 1622 2048 2432 2888 3244 4096 4864 5776 6488 6859 8192 9728 11552 12976 13718 15409 19456 23104 25952 27436 30818 38912 46208 51904 54872 61636 77824 92416 103808 109744 123272 155648 184832 207616 219488 246544 292771 369664 415232 438976 493088 585542 657721 739328 830464 877952 986176 1171084 1315442 1478656 1660928 1755904 1972352 2342168 2630884 2957312 3321856 3511808 3944704 4684336 5261768 5562649 6643712 7023616 7889408 9368672 10523536 11125298 12496699 14047232 15778816 18737344 21047072 22250596 24993398 28094464 31557632 37474688 42094144 44501192 49986796 56188928 63115264 74949376 84188288 89002384 99973592 126230528 149898752 168376576 178004768 199947184 237437281 299797504 336753152 356009536 399894368 474874562 533411731 599595008 673506304 712019072 799788736 949749124 1066823462 1199190016 1347012608 1424038144 1599577472 1899498248 2133646924 2398380032 2694025216 2848076288 3199154944 3798996496 4267293848 4511308339 5388050432 5696152576 6398309888 7597992992 8534587696 9022616678 10134822889 11392305152 12796619776 15195985984 17069175392 18045233356 20269645778 22784610304 25593239552 30391971968 34138350784 36090466712 40539291556 45569220608 51186479104 60783943936 68276701568 72180933424 81078583112 102372958208 121567887872 136553403136 144361866848 162157166224 192561634891 243135775744 273106806272 288723733696 324314332448 385123269782 486271551488 546213612544 577447467392 648628664896 770246539564 972543102976 1092427225088 1154894934784 1297257329792 1540493079128 1945086205952 2184854450176 2309789869568 2594514659584 3080986158256 3658671062929 4369708900352 4619579739136 5189029319168 6161972316512 7317342125858 9239159478272 10378058638336 12323944633024 14634684251716 18478318956544 20756117276672 24647889266048 29269368503432 36956637913088 41512234553344 49295778532096 58538737006864 83024469106688 98591557064192 117077474013728 197183114128384 234154948027456 394366228256768 468309896054912 788732456513536 936619792109824 1577464913027072 1873239584219648 3746479168439296 7492958336878592 14985916673757184 29971833347514368
• Sum of all divisors σ(n): 63347633498210880
• Sum of proper divisors (its aliquot sum) s(n): 33375800150696512
• 29971833347514368 is an abundant number, because the sum of its proper divisors (33375800150696512) is greater than itself. Its abundance is 3403966803182144

Bases of 29971833347514368

• Binary: 1101010011110110011100100111111111100100010000000000000₂
• Hexadecimal: 0x6A7B393FF22000
• Base-36: 8744M5PAZNK

Squares and roots of 29971833347514368

• 29971833347514368 squared (29971833347514368²) is 898310794211174326359323966439424
• 29971833347514368 cubed (29971833347514368³) is 26924021418370591561403460477606229848641641644032
• The square root of 29971833347514368 is 173123751.5406663315
• The cube root of 29971833347514368 is 310625.9753252817

Scales and comparisons

• 29,971,833,347,514,368 seconds is equal to 953,011,591 years, 25 weeks, 22 hours, 26 minutes, 8 seconds.
• To count from 1 to 29,971,833,347,514,368 would take you about two billion, eight hundred fifty-nine million, thirty-four thousand, seven hundred seventy-four 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 29971833347514368 cubic inches would be around 25885.5 feet tall.

Recreational maths with 29971833347514368

• 29971833347514368 backwards is 86341574333817992
• The number of decimal digits it has is: 17
• The sum of 29971833347514368's digits is 83
• More coming soon!