32972193517824

Names of 32972193517824

• Cardinal: 32972193517824 can be written as Thirty-two trillion, nine hundred seventy-two billion, one hundred ninety-three million, five hundred seventeen thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 3.2972193517824 × 10¹³

Factors of 32972193517824

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 706

Divisors of 32972193517824

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 243 256 257 264 288 297 324 352 384 396 432 433 486 514 528 576 594 648 704 768 771 792 864 866 891 972 1028 1056 1152 1188 1296 1299 1408 1542 1584 1728 1732 1782 1944 2056 2112 2304 2313 2376 2592 2598 2673 2816 2827 3084 3168 3456 3464 3564 3888 3897 4112 4224 4626 4752 4763 5184 5196 5346 5654 6168 6336 6912 6928 6939 7128 7776 7794 8224 8448 8481 9252 9504 9526 10368 10392 10692 11308 11691 12336 12672 13856 13878 14256 14289 15552 15588 16448 16962 18504 19008 19052 20736 20784 20817 21384 22616 23382 24672 25344 25443 27712 27756 28512 28578 31104 31176 32896 33924 35073 37008 38016 38104 41568 41634 42768 42867 45232 46764 49344 50886 55424 55512 57024 57156 62208 62352 62451 65792 67848 70146 74016 76032 76208 76329 83136 83268 85536 85734 90464 93528 98688 101772 105219 110848 111024 111281 114048 114312 124704 124902 128601 135696 140292 148032 152416 152658 166272 166536 171072 171468 180928 187056 187489 197376 203544 210438 222048 222562 228096 228624 228987 249408 249804 257202 271392 280584 296064 304832 305316 332544 333072 333843 342144 342936 361856 374112 374978 385803 407088 420876 444096 445124 457248 457974 498816 499608 514404 542784 561168 562467 592128 609664 610632 666144 667686 684288 685872 686961 723712 748224 749956 771606 814176 841752 888192 890248 914496 915948 997632 999216 1001529 1028808 1085568 1122336 1124934 1157409 1219328 1221264 1224091 1332288 1335372 1371744 1373922 1496448 1499912 1543212 1628352 1683504 1687401 1776384 1780496 1828992 1831896 1998432 2003058 2057616 2062379 2171136 2244672 2249868 2314818 2442528 2448182 2664576 2670744 2743488 2747844 2992896 2999824 3004587 3086424 3256704 3367008 3374802 3560992 3657984 3663792 3672273 3996864 4006116 4115232 4124758 4489344 4499736 4629636 4885056 4896364 5062203 5329152 5341488 5486976 5495688 5999648 6009174 6172848 6187137 6513408 6734016 6749604 7121984 7327584 7344546 7993728 8012232 8230464 8249516 8978688 8999472 9013761 9259272 9770112 9792728 10124406 10682976 10973952 10991376 11016819 11999296 12018348 12345696 12374274 13468032 13499208 14243968 14655168 14689092 15186609 15987456 16024464 16460928 16499032 17998944 18027522 18518544 18561411 19540224 19585456 20248812 21365952 21982752 22033638 23998592 24036696 24691392 24748548 26936064 26998416 27041283 28487936 29310336 29378184 30373218 32048928 32921856 32998064 33050457 35997888 36055044 37037088 37122822 39170912 40497624 42731904 43965504 44067276 45559827 47997184 48073392 48184673 49382784 49497096 53996832 54082566 55684233 58620672 58756368 60746436 64097856 65996128 66100914 71995776 72110088 74074176 74245644 78341824 80995248 85463808 87931008 88134552 91119654 96146784 96369346 98765568 98994192 99151371 107993664 108165132 111368466 117512736 121492872 128195712 131992256 132201828 143991552 144220176 144554019 148148352 148491288 156683648 161990496 167052699 175862016 176269104 182239308 192293568 192738692 197988384 198302742 215987328 216330264 222736932 235025472 242985744 256391424 263984512 264403656 288440352 289108038 296296704 296982576 297454113 313367296 323980992 334105398 352538208 364478616 384587136 385477384 395976768 396605484 431974656 432660528 433662057 445473864 470050944 485971488 501158097 527969024 528807312 530031403 576880704 578216076 593965152 594908226 647961984 668210796 705076416 728957232 769174272 770954768 791953536 793210968 865321056 867324114 890947728 940101888 971942976 1002316194 1057614624 1060062806 1153761408 1156432152 1187930304 1189816452 1295923968 1300986171 1336421592 1410152832 1457914464 1541909536 1583907072 1586421936 1590094209 1730642112 1734648228 1781895456 1943885952 2004632388 2115229248 2120125612 2307522816 2312864304 2375860608 2379632904 2601972342 2672843184 2820305664 2915828928 3083819072 3172843872 3180188418 3461284224 3469296456 3563790912 3887771904 3902958513 4009264776 4230458496 4240251224 4625728608 4751721216 4759265808 4770282627 5203944684 5345686368 5831657856 6167638144 6345687744 6360376836 6922568448 6938592912 7127581824 7805917026 8018529552 8460916992 8480502448 9251457216 9518531616 9540565254 10407889368 10691372736 11663315712 11708875539 12335276288 12691375488 12720753672 13877185824 14255163648 14310847881 15611834052 16037059104 16961004896 18502914432 19037063232 19081130508 20815778736 21382745472 23417751078 25382750976 25441507344 27754371648 28621695762 31223668104 32074118208 33922009792 37005828864 38074126464 38162261016 41631557472 42765490944 42932543643 46835502156 50883014688 55508743296 57243391524 62447336208 64148236416 67844019584 76148252928 76324522032 83263114944 85865087286 93671004312 101766029376 111017486592 114486783048 124894672416 128296472832 128797630929 135688039168 152649044064 166526229888 171730174572 187342008624 203532058752 228973566096 249789344832 257595261858 305298088128 333052459776 343460349144 374684017248 407064117504 457947132192 499578689664 515190523716 610596176256 686920698288 749368034496 915894264384 999157379328 1030381047432 1221192352512 1373841396576 1498736068992 1831788528768 2060762094864 2747682793152 2997472137984 3663577057536 4121524189728 5495365586304 8243048379456 10990731172608 16486096758912 32972193517824
• Sum of all divisors σ(n): 108218914326432
• Sum of proper divisors (its aliquot sum) s(n): 75246720808608
• 32972193517824 is an abundant number, because the sum of its proper divisors (75246720808608) is greater than itself. Its abundance is 42274527290784

Bases of 32972193517824

• Binary: 111011111110011101111111000011101000100000000₂
• Hexadecimal: 0x1DFCEFE1D100
• Base-36: BOR7SPC00

Squares and roots of 32972193517824

• 32972193517824 squared (32972193517824²) is 1087165545376835004205694976
• 32972193517824 cubed (32972193517824³) is 35846232748075672857040195665612163252224
• The square root of 32972193517824 is 5742141.8928675039
• The cube root of 32972193517824 is 32066.3316525753

Scales and comparisons

• 32,972,193,517,824 seconds is equal to 1,048,413 years, 39 weeks, 5 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 32,972,193,517,824 would take you about two million, six hundred twenty-one thousand and thirty-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 32972193517824 cubic inches would be around 2672.2 feet tall.

Recreational maths with 32972193517824

• 32972193517824 backwards is 42871539127923
• The number of decimal digits it has is: 14
• The sum of 32972193517824's digits is 63
• More coming soon!