32973970990896

Names of 32973970990896

• Cardinal: 32973970990896 can be written as Thirty-two trillion, nine hundred seventy-three billion, nine hundred seventy million, nine hundred ninety thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 3.2973970990896 × 10¹³

Factors of 32973970990896

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 134

Divisors of 32973970990896

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 73 78 81 86 104 108 117 129 144 146 156 162 169 172 208 216 219 234 243 258 292 312 324 338 344 351 387 432 438 468 486 507 516 559 584 624 648 657 676 688 702 729 774 876 936 949 972 1014 1032 1053 1118 1161 1168 1296 1314 1352 1404 1458 1521 1548 1677 1752 1872 1898 1944 1971 2028 2064 2106 2236 2322 2628 2704 2808 2847 2916 3042 3096 3139 3159 3354 3483 3504 3796 3888 3942 4056 4212 4472 4563 4644 5031 5256 5329 5616 5694 5832 5913 6084 6192 6278 6318 6708 6966 7267 7592 7884 8112 8424 8541 8944 9126 9288 9417 9477 10062 10449 10512 10658 11388 11664 11826 12168 12337 12556 12636 13416 13689 13932 14534 15093 15184 15768 15987 16848 17082 17739 18252 18576 18834 18954 20124 20898 21316 21801 22776 23652 24336 24674 25112 25272 25623 26832 27378 27864 28251 29068 30186 31347 31536 31974 34164 35478 36504 37011 37668 37908 40248 40807 41067 41796 42632 43602 45279 45552 47304 47961 49348 50224 50544 51246 53217 54756 55728 56502 58136 60372 62694 63948 65403 68328 69277 70956 73008 74022 75336 75816 76869 80496 81614 82134 83592 84753 85264 87204 90558 94608 95922 98696 102492 106434 109512 111033 113004 116272 120744 122421 123201 125388 127896 130806 135837 136656 138554 141912 143883 148044 150672 151632 153738 163228 164268 167184 169506 174408 181116 191844 196209 197392 204984 207831 212868 219024 222066 226008 229147 230607 241488 244842 246402 250776 254259 255792 261612 271674 277108 283824 287766 296088 307476 326456 328536 333099 339012 348816 362232 367263 383688 389017 392418 407511 409968 415662 425736 431649 444132 452016 458294 461214 489684 492804 501552 508518 523224 530491 543348 554216 575532 588627 592176 614952 623493 652912 657072 666198 678024 687441 691821 724464 734526 762777 767376 778034 784836 815022 831324 851472 863298 888264 900601 916588 922428 979368 985608 999297 1017036 1046448 1060982 1086696 1101789 1108432 1151064 1167051 1177254 1229904 1246986 1294947 1332396 1356048 1374882 1383642 1469052 1525554 1556068 1569672 1591473 1630044 1662648 1726596 1765881 1776528 1801202 1833176 1844856 1870479 1958736 1971216 1998594 2034072 2062323 2121964 2173392 2203578 2288331 2302128 2334102 2354508 2493972 2589894 2664792 2701803 2749764 2767284 2938104 2978911 2997891 3051108 3112136 3139344 3182946 3260088 3305367 3325296 3453192 3501153 3531762 3602404 3666352 3689712 3740958 3884841 3997188 4068144 4124646 4243928 4407156 4576662 4668204 4709016 4774419 4987944 5057221 5179788 5297643 5329584 5403606 5499528 5534568 5611437 5876208 5957822 5995782 6102216 6186969 6224272 6365892 6520176 6610734 6906384 7002306 7063524 7204808 7481916 7769682 7994376 8105409 8249292 8487856 8814312 8936733 8993673 9153324 9336408 9418032 9548838 9916101 9975888 10114442 10359576 10503459 10595286 10807212 10999056 11069136 11222874 11915644 11991564 12204432 12373938 12731784 13221468 14004612 14127048 14323257 14409616 14963832 15171663 15539364 15988752 16210818 16498584 16727731 16834311 17628624 17873466 17987346 18306648 18560907 18672816 19097676 19832202 20228884 20719152 21006918 21190572 21614424 22445748 23831288 23983128 24316227 24747876 25463568 26442936 26810199 28009224 28254096 28646514 29748303 29927664 30343326 31078728 31510377 32421636 32997168 33455462 33668622 35746932 35974692 36613296 37121814 38195352 38725843 39664404 40457768 42013836 42381144 42969771 43228848 44891496 45514989 47662576 47966256 48632454 49495752 50183193 50502933 52885872 53620398 55682721 56018448 57293028 59496606 60686652 62157456 63020754 64843272 65743873 66910924 67337244 71493864 71949384 72948681 74243628 76390704 77451686 79328808 80430597 80915536 84027672 84762288 85939542 89782992 91029978 94531131 97264908 98991504 100366386 101005866 107240796 111365442 114586056 116177529 118993212 121373304 126041508 128909313 129686544 131487746 133821848 134674488 136544967 142987728 143898768 145897362 148487256 150549579 154903372 158657616 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25442878851 28231139547 28401353136 29493712872 31314312432 31951522278 32518709064 33923838468 34746017904 35228601486 37641519396 42602029704 45231784624 46971468648 47927283417 48778063596 50188692528 50885757702 52842902229 56462279094 58987425744 63903044556 65037418128 67847676936 70457202972 75283038792 76328636553 85204059408 93942937296 95854566834 97556127192 101771515404 105685804458 112924558188 127806089112 135695353872 140914405944 150566077584 152657273106 158528706687 191709133668 195112254384 203543030808 211371608916 225849116376 228985909659 255612178224 281828811888 305314546212 317057413374 383418267336 407086061616 422743217832 451698232752 457971819318 610629092424 634114826748 686957728977 766836534672 845486435664 915943638636 1221258184848 1268229653496 1373915457954 1831887277272 2060873186931 2536459306992 2747830915908 3663774554544 4121746373862 5495661831816 8243492747724 10991323663632 16486985495448 32973970990896
• Sum of all divisors σ(n): 107607997788720
• Sum of proper divisors (its aliquot sum) s(n): 74634026797824
• 32973970990896 is an abundant number, because the sum of its proper divisors (74634026797824) is greater than itself. Its abundance is 41660055806928

Bases of 32973970990896

• Binary: 111011111110101011001110100111110011100110000₂
• Hexadecimal: 0x1DFD59D3E730
• Base-36: BOS16YR00

Squares and roots of 32973970990896

• 32973970990896 squared (32973970990896²) is 1087282762908450936114882816
• 32973970990896 cubed (32973970990896³) is 35852030283044514548856461320792442843136
• The square root of 32973970990896 is 5742296.6651763997
• The cube root of 32973970990896 is 32066.9078554377

Scales and comparisons

• 32,973,970,990,896 seconds is equal to 1,048,470 years, 14 weeks, 4 days, 18 hours, 21 minutes, 36 seconds.
• To count from 1 to 32,973,970,990,896 would take you about two million, six hundred twenty-one thousand, one hundred seventy-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 32973970990896 cubic inches would be around 2672.2 feet tall.

Recreational maths with 32973970990896

• 32973970990896 backwards is 69809907937923
• 32973970990896 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 32973970990896's digits is 81
• More coming soon!