21253640444608320

Names of 21253640444608320

• Cardinal: 21253640444608320 can be written as Twenty-one quadrillion, two hundred fifty-three trillion, six hundred forty billion, four hundred forty-four million, six hundred eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 2.125364044460832 × 10¹⁶

Factors of 21253640444608320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 388098

Divisors of 21253640444608320

• Number of divisors d(n): 378
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 192 196 210 224 240 245 252 280 288 294 315 320 336 360 392 420 441 448 480 490 504 560 576 588 630 672 720 735 784 840 882 960 980 1008 1120 1176 1260 1344 1440 1470 1568 1680 1764 1960 2016 2205 2240 2352 2520 2880 2940 3136 3360 3528 3920 4032 4410 4704 5040 5880 6720 7056 7840 8820 9408 10080 11760 14112 15680 17640 20160 23520 28224 35280 47040 70560 141120 388081 776162 1164243 1552324 1940405 2328486 2716567 3104648 3492729 3880810 4656972 5433134 5821215 6209296 6985458 7761620 8149701 9313944 10866268 11642430 12418592 13582835 13970916 15523240 16299402 17463645 18627888 19015969 21732536 23284860 24449103 24837184 27165670 27941832 31046480 32598804 34927290 37255776 38031938 40748505 43465072 46569720 48898206 54331340 55883664 57047907 62092960 65197608 69854580 74511552 76063876 81497010 86930144 93139440 95079845 97796412 108662680 111767328 114095814 122245515 124185920 130395216 139709160 152127752 162994020 171143721 173860288 186278880 190159690 195592824 217325360 223534656 228191628 244491030 260790432 279418320 285239535 304255504 325988040 342287442 372557760 380319380 391185648 434650720 456383256 488982060 521580864 558836640 570479070 608511008 651976080 684574884 760638760 782371296 855718605 869301440 912766512 977964120 1117673280 1140958140 1217022016 1303952160 1369149768 1521277520 1564742592 1711437210 1825533024 1955928240 2281916280 2607904320 2738299536 3042555040 3422874420 3651066048 3911856480 4563832560 5476599072 6085110080 6845748840 7823712960 9127665120 10953198144 13691497680 18255330240 27382995360 54765990720 150606862561 301213725122 451820587683 602427450244 753034312805 903641175366 1054248037927 1204854900488 1355461763049 1506068625610 1807282350732 2108496075854 2259102938415 2409709800976 2710923526098 3012137251220 3162744113781 3614564701464 4216992151708 4518205876830 4819419601952 5271240189635 5421847052196 6024274502440 6325488227562 6777308815245 7229129402928 7379736265489 8433984303416 9036411753660 9488232341343 9638839203904 10542480379270 10843694104392 12048549004880 12650976455124 13554617630490 14458258805856 14759472530978 15813720568905 16867968606832 18072823507320 18976464682686 21084960758540 21687388208784 22139208796467 24097098009760 25301952910248 27109235260980 28916517611712 29518945061956 31627441137810 33735937213664 36145647014640 36898681327445 37952929365372 42169921517080 43374776417568 44278417592934 47441161706715 48194196019520 50603905820496 54218470521960 59037890123912 63254882275620 66417626389401 67471874427328 72291294029280 73797362654890 75905858730744 84339843034160 86749552835136 88556835185868 94882323413430 101207811640992 108436941043920 110696043982335 118075780247824 126509764551240 132835252778802 144582588058560 147594725309780 151811717461488 168679686068320 177113670371736 189764646826860 202415623281984 216873882087840 221392087964670 236151560495648 253019529102480 265670505557604 295189450619560 303623434922976 332088131947005 337359372136640 354227340743472 379529293653720 433747764175680 442784175929340 472303120991296 506039058204960 531341011115208 590378901239120 607246869845952 664176263894010 708454681486944 759058587307440 885568351858680 1012078116409920 1062682022230416 1180757802478240 1328352527788020 1416909362973888 1518117174614880 1771136703717360 2125364044460832 2361515604956480 2656705055576040 3036234349229760 3542273407434720 4250728088921664 5313410111152080 7084546814869440 10626820222304160 21253640444608320
• Sum of all divisors σ(n): 85039179217564806
• Sum of proper divisors (its aliquot sum) s(n): 63785538772956486
• 21253640444608320 is an abundant number, because the sum of its proper divisors (63785538772956486) is greater than itself. Its abundance is 42531898328348166

Bases of 21253640444608320

• Binary: 1001011100000100001001011001000111000100111111101000000₂
• Hexadecimal: 0x4B8212C8E27F40
• Base-36: 5T9SBMNZGW0

Squares and roots of 21253640444608320

• 21253640444608320 squared (21253640444608320²) is 451717232148690546246158213222400
• 21253640444608320 cubed (21253640444608320³) is 9600635634721935041998492013258839171013050368000
• The square root of 21253640444608320 is 145786283.4583841087
• The cube root of 21253640444608320 is 276998.7290475395

Scales and comparisons

• 21,253,640,444,608,320 seconds is equal to 675,800,024 years, 16 weeks, 1 day, 15 hours, 12 minutes.
• To count from 1 to 21,253,640,444,608,320 would take you about two billion, twenty-seven million, four hundred thousand and seventy-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 21253640444608320 cubic inches would be around 23083.2 feet tall.

Recreational maths with 21253640444608320

• 21253640444608320 backwards is 02380644404635212
• The number of decimal digits it has is: 17
• The sum of 21253640444608320's digits is 54
• More coming soon!