972972403145424

Names of 972972403145424

• Cardinal: 972972403145424 can be written as Nine hundred seventy-two trillion, nine hundred seventy-two billion, four hundred three million, one hundred forty-five thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 9.72972403145424 × 10¹⁴

Factors of 972972403145424

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1511193

Divisors of 972972403145424

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 81 87 88 99 108 116 132 144 162 174 176 198 216 232 261 264 297 319 324 348 396 432 464 522 528 594 638 648 696 783 792 891 957 1044 1188 1276 1296 1392 1559 1566 1584 1782 1914 2088 2349 2376 2552 2871 3118 3132 3564 3828 4176 4677 4698 4752 5104 5742 6236 6264 7128 7656 8613 9354 9396 11484 12472 12528 14031 14256 15312 17149 17226 18708 18792 22968 24944 25839 28062 34298 34452 37416 37584 42093 45211 45936 51447 51678 56124 68596 68904 74832 84186 90422 102894 103356 112248 126279 135633 137192 137808 154341 168372 180844 205788 206712 224496 252558 271266 274384 308682 336744 361688 406899 411576 413424 463023 497321 505116 542532 617364 673488 723376 813798 823152 926046 994642 1010232 1085064 1220697 1234728 1389069 1491963 1509589 1627596 1852092 1989284 2020464 2170128 2441394 2469456 2778138 2983926 3019178 3255192 3662091 3704184 3978568 4475889 4528767 4882788 5556276 5967852 6038356 6510384 7324182 7408368 7957136 8951778 9057534 9765576 11112552 11935704 12076712 13427667 13586301 14648364 16605479 17903556 18115068 19531152 22225104 23871408 24153424 26855334 27172602 29296728 33210958 35807112 36230136 40283001 40758903 43778081 49816437 53710668 54345204 58593456 66421916 71614224 72460272 80566002 81517806 87556162 99632874 107421336 108690408 122276709 131334243 132843832 149449311 161132004 163035612 175112324 199265748 214842672 217380816 244553418 262668486 265687664 298898622 322264008 326071224 350224648 394002729 398531496 448347933 481558891 489106836 525336972 597797244 644528016 652142448 700449296 788005458 797062992 896695866 963117782 978213672 1050673944 1182008187 1195594488 1345043799 1444676673 1576010916 1793391732 1926235564 1956427344 2101347888 2353449251 2364016374 2391188976 2690087598 2889353346 3152021832 3546024561 3586783464 3852471128 4334030019 4706898502 4728032748 5380175196 5778706692 6304043664 7060347753 7092049122 7173566928 7704942256 8668060038 9413797004 9456065496 10760350392 11557413384 13002090057 14120695506 14184098244 17336120076 18827594008 18912130992 21181043259 21520700784 23114826768 25887941761 26004180114 28241391012 28368196488 34672240152 37655188016 39006270171 42362086518 51775883522 52008360228 56482782024 56736392976 63543129777 68250028279 69344480304 77663825283 78012540342 84724173036 103551767044 104016720456 112965564048 127086259554 136500056558 155327650566 156025080684 169448346072 190629389331 204750084837 207103534088 208033440912 232991475849 254172519108 273000113116 310655301132 312050161368 338896692144 381258778662 409500169674 414207068176 465982951698 508345038216 546000226232 614250254511 621310602264 624100322736 698974427547 750750311069 762517557324 819000339348 931965903396 1016690076432 1092000452464 1228500509022 1242621204528 1397948855094 1501500622138 1525035114648 1638000678696 1842750763533 1863931806792 2096923282641 2252250933207 2457001018044 2795897710188 3003001244276 3050070229296 3276001357392 3685501527066 3727863613584 4193846565282 4504501866414 4914002036088 5528252290599 5591795420376 6006002488552 6756752799621 7371003054132 8387693130564 9009003732828 9828004072176 11056504581198 11183590840752 12012004977104 13513505599242 14742006108264 16775386261128 18018007465656 20270258398863 22113009162396 27027011198484 29484012216528 33550772522256 36036014931312 40540516797726 44226018324792 54054022396968 60810775196589 81081033595452 88452036649584 108108044793936 121621550393178 162162067190904 243243100786356 324324134381808 486486201572712 972972403145424
• Sum of all divisors σ(n): 3180044325744000
• Sum of proper divisors (its aliquot sum) s(n): 2207071922598576
• 972972403145424 is an abundant number, because the sum of its proper divisors (2207071922598576) is greater than itself. Its abundance is 1234099519453152

Bases of 972972403145424

• Binary: 11011101001110100111001010011101110011101011010000₂
• Hexadecimal: 0x374E9CA773AD0
• Base-36: 9KW1CNFH00

Squares and roots of 972972403145424

• 972972403145424 squared (972972403145424²) is 946675297282581486488892139776
• 972972403145424 cubed (972972403145424³) is 921088938995441987384431548136827252262785024
• The square root of 972972403145424 is 31192505.5605577155
• The cube root of 972972403145424 is 99090.8394249193

Scales and comparisons

• 972,972,403,145,424 seconds is equal to 30,937,512 years, 42 weeks, 4 days, 50 minutes, 24 seconds.
• To count from 1 to 972,972,403,145,424 would take you about seventy-seven million, three hundred forty-three thousand, seven hundred eighty-two 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 972972403145424 cubic inches would be around 8257.6 feet tall.

Recreational maths with 972972403145424

• 972972403145424 backwards is 424541304279279
• The number of decimal digits it has is: 15
• The sum of 972972403145424's digits is 63
• More coming soon!