21321271428200640

Names of 21321271428200640

• Cardinal: 21321271428200640 can be written as Twenty-one quadrillion, three hundred twenty-one trillion, two hundred seventy-one billion, four hundred twenty-eight million, two hundred thousand, six hundred forty.

Scientific notation

• Scientific notation: 2.132127142820064 × 10¹⁶

Factors of 21321271428200640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1767568

Divisors of 21321271428200640

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 130 144 156 160 163 180 192 195 208 234 240 260 288 312 320 326 360 390 416 468 480 489 520 576 585 624 652 720 780 815 832 936 960 978 1040 1170 1248 1304 1440 1467 1560 1630 1872 1956 1979 2080 2119 2340 2445 2496 2608 2880 2934 3120 3260 3744 3912 3958 4160 4238 4680 4890 5216 5868 5937 6240 6357 6520 7335 7488 7824 7916 8476 9360 9780 9895 10432 10595 11736 11874 12480 12714 13040 14670 15648 15832 16952 17811 18720 19071 19560 19790 21190 23472 23748 25428 25727 26080 29340 29685 31296 31664 31785 33904 35622 37440 38142 39120 39580 42380 46944 47496 50856 51454 52160 58680 59370 63328 63570 67808 71244 76284 77181 78240 79160 84760 89055 93888 94992 95355 101712 102908 117360 118740 126656 127140 128635 135616 142488 152568 154362 156480 158320 169520 178110 189984 190710 203424 205816 231543 234720 237480 254280 257270 284976 305136 308724 316640 322577 339040 356220 379968 381420 385905 406848 411632 463086 469440 474960 508560 514540 569952 610272 617448 633280 645154 678080 712440 762840 771810 823264 926172 949920 967731 1017120 1029080 1139904 1157715 1220544 1234896 1290308 1424880 1525680 1543620 1612885 1646528 1765403 1852344 1899840 1935462 2034240 2058160 2315430 2469792 2580616 2849760 2903193 3051360 3087240 3225770 3530806 3704688 3870924 4116320 4193501 4630860 4838655 4939584 5161232 5296209 5699520 5806386 6102720 6174480 6451540 7061612 7409376 7741848 8232640 8387002 8827015 9261720 9677310 10322464 10592418 11612772 12348960 12580503 12903080 14123224 14515965 14818752 15483696 15888627 16774004 17654030 18523440 19354620 20644928 20967505 21184836 22950239 23225544 24697920 25161006 25806160 26481045 28246448 29031930 30967392 31777254 33548008 35308060 37046880 37741509 38709240 41935010 42369672 45900478 46451088 50322012 51612320 52962090 56492896 58063860 61934784 62902515 63554508 67096016 68850717 70616120 74093760 75483018 77418480 79443135 83870020 84739344 91800956 92902176 100644024 103224640 105924180 112985792 114751195 116127720 125805030 127109016 134192032 137701434 141232240 150966036 154836960 158886270 167740040 169478688 183601912 185804352 188707545 201288048 206552151 211848360 229502390 232255440 251610060 254218032 268384064 275402868 282464480 287760689 301932072 309673920 317772540 335480080 338957376 344253585 367203824 377415090 402576096 413104302 423696720 459004780 464510880 503220120 508436064 550805736 564928960 575521378 603864144 635545080 670960160 688507170 734407648 754830180 805152192 826208604 847393440 863282067 918009560 929021760 1006440240 1016872128 1032760755 1101611472 1151042756 1207728288 1271090160 1341920320 1377014340 1438803445 1468815296 1509660360 1652417208 1694786880 1726564134 1836019120 2012880480 2065521510 2203222944 2302085512 2415456576 2542180320 2589846201 2754028680 2877606890 3019320720 3304834416 3453128268 3493732537 3672038240 3740888957 4025760960 4131043020 4316410335 4406445888 4604171024 5084360640 5179692402 5508057360 5755213780 6038641440 6609668832 6906256536 6987465074 7344076480 7481777914 8262086040 8632820670 9208342048 10359384804 10481197611 11016114720 11222666871 11510427560 12077282880 12949231005 13219337664 13812513072 13974930148 14963555828 16524172080 17265641340 17468662685 18416684096 18704444785 20718769608 20962395222 22032229440 22445333742 23020855120 25898462010 27625026144 27949860296 29927111656 31443592833 33048344160 33668000613 34531282680 34937325370 37408889570 41437539216 41924790444 44890667484 45418522981 46041710240 51796924020 52405988055 55250052288 55899720592 56113334355 59854223312 62887185666 66096688320 67336001226 69062565360 69874650740 74817779140 82875078432 83849580888 89781334968 90837045962 92083420480 103593848040 104811976110 111799441184 112226668710 119708446624 125774371332 134672002452 136255568943 138125130720 139749301480 149635558280 157217964165 165750156864 167699161776 168340003065 179562669936 181674091924 207187696080 209623952220 223598882368 224453337420 227092614905 239416893248 251548742664 269344004904 272511137886 276250261440 279498602960 299271116560 314435928330 335398323552 336680006130 359125339872 363348183848 408766706829 414375392160 419247904440 448906674840 454185229810 503097485328 538688009808 545022275772 558997205920 569478403531 598542233120 628871856660 670796647104 673360012260 681277844715 718250679744 726696367696 817533413658 828750784320 838495808880 897813349680 908370459620 1006194970656 1077376019616 1090044551544 1117994411840 1138956807062 1197084466240 1257743713320 1346720024520 1362555689430 1453392735392 1635066827316 1676991617760 1708435210593 1795626699360 1816740919240 2012389941312 2043833534145 2154752039232 2180089103088 2277913614124 2515487426640 2693440049040 2725111378860 2847392017655 2906785470784 3270133654632 3353983235520 3416870421186 3591253398720 3633481838480 4087667068290 4360178206176 4555827228248 5030974853280 5125305631779 5386880098080 5450222757720 5694784035310 6540267309264 6833740842372 7266963676960 7403219245903 8175334136580 8542176052965 8720356412352 9111654456496 10061949706560 10250611263558 10773760196160 10900445515440 11389568070620 13080534618528 13667481684744 14533927353920 14806438491806 16350668273160 17084352105930 18223308912992 20501222527116 21800891030880 22209657737709 22779136141240 25626528158895 26161069237056 27334963369488 29612876983612 32701336546320 34168704211860 36446617825984 37016096229515 41002445054232 43601782061760 44419315475418 45558272282480 51253056317790 54669926738976 59225753967224 65402673092640 66628973213127 68337408423720 74032192459030 82004890108464 88838630950836 91116544564960 102506112635580 109339853477952 111048288688545 118451507934448 130805346185280 133257946426254 136674816847440 148064384918060 164009780216928 177677261901672 182233089129920 205012225271160 222096577377090 236903015868896 266515892852508 273349633694880 296128769836120 328019560433856 333144866065635 355354523803344 410024450542320 444193154754180 473806031737792 533031785705016 546699267389760 592257539672240 666289732131270 710709047606688 820048901084640 888386309508360 1066063571410032 1184515079344480 1332579464262540 1421418095213376 1640097802169280 1776772619016720 2132127142820064 2369030158688960 2665158928525080 3553545238033440 4264254285640128 5330317857050160 7107090476066880 10660635714100320 21321271428200640
• Sum of all divisors σ(n): 79502265388465920
• Sum of proper divisors (its aliquot sum) s(n): 58180993960265280
• 21321271428200640 is an abundant number, because the sum of its proper divisors (58180993960265280) is greater than itself. Its abundance is 36859722532064640

Bases of 21321271428200640

• Binary: 1001011101111111001010101011001101000110011100011000000₂
• Hexadecimal: 0x4BBF9559A338C0
• Base-36: 5TXRCVHFOW0

Squares and roots of 21321271428200640

• 21321271428200640 squared (21321271428200640²) is 454596615315004958982668096409600
• 21321271428200640 cubed (21321271428200640³) is 9692577825472532716532275826155436391772422144000
• The square root of 21321271428200640 is 146018051.7203288807
• The cube root of 21321271428200640 is 277292.2295239443

Scales and comparisons

• 21,321,271,428,200,640 seconds is equal to 677,950,480 years, 20 weeks, 3 days, 10 hours, 24 minutes.
• To count from 1 to 21,321,271,428,200,640 would take you about two billion, thirty-three million, eight hundred fifty-one thousand, four hundred forty-one 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 21321271428200640 cubic inches would be around 23107.7 feet tall.

Recreational maths with 21321271428200640

• 21321271428200640 backwards is 04600282417212312
• 21321271428200640 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21321271428200640's digits is 45
• More coming soon!