97221813456021120

Names of 97221813456021120

• Cardinal: 97221813456021120 can be written as Ninety-seven quadrillion, two hundred twenty-one trillion, eight hundred thirteen billion, four hundred fifty-six million, twenty-one thousand, one hundred twenty.

Scientific notation

• Scientific notation: 9.722181345602112 × 10¹⁶

Factors of 97221813456021120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 320384999

Divisors of 97221813456021120

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 108 120 128 135 136 144 153 160 170 180 192 204 216 240 255 270 272 288 306 320 340 360 384 408 432 459 480 510 540 544 576 612 640 680 720 765 816 864 918 960 1020 1033 1080 1088 1152 1224 1360 1440 1530 1632 1728 1836 1920 2040 2066 2160 2176 2295 2448 2720 2880 3060 3099 3264 3456 3672 4080 4132 4320 4590 4896 5165 5440 5760 6120 6198 6528 7344 8160 8264 8640 9180 9297 9792 10330 10880 12240 12396 14688 15495 16320 16528 17280 17561 18360 18594 19584 20660 24480 24792 27891 29376 30990 32640 33056 35122 36720 37188 41320 46485 48960 49584 52683 55782 58752 61980 66112 70244 73440 74376 82640 87805 92970 97920 99168 105366 111564 123960 132224 139455 140488 146880 148752 158049 165280 175610 185940 198336 210732 223128 247920 263415 278910 280976 293760 297504 316098 330560 351220 371880 396672 421464 446256 474147 495840 526830 557820 561952 595008 632196 661120 702440 743760 790245 842928 892512 948294 991680 1053660 1115640 1123904 1190016 1264392 1404880 1487520 1580490 1685856 1785024 1896588 1983360 2107320 2231280 2247808 2370735 2528784 2809760 2975040 3160980 3371712 3570048 3793176 4214640 4462560 4741470 5057568 5619520 5950080 6321960 6743424 7586352 8429280 8925120 9482940 10115136 11239040 12643920 15172704 16858560 17850240 18965880 20230272 25287840 30345408 33717120 37931760 50575680 60690816 75863520 101151360 151727040 303454080 320383939 640767878 961151817 1281535756 1601919695 1922303634 2563071512 2883455451 3203839390 3844607268 4805759085 5126143024 5446526963 5766910902 6407678780 7689214536 8650366353 9611518170 10252286048 10893053926 11533821804 12815357560 14417277255 15378429072 16339580889 17300732706 19223036340 20504572096 21786107852 23067643608 25630715120 27232634815 28834554510 30756858144 32679161778 34601465412 38446072680 41009144192 43251831765 43572215704 46135287216 49018742667 51261430240 54465269630 57669109020 61513716288 65358323556 69202930824 76892145360 81697904445 86503663530 87144431408 92270574432 98037485334 102522860480 108930539260 115338218040 123027432576 130716647112 138405861648 147056228001 153784290720 163395808890 173007327060 174288862816 184541148864 196074970668 205045720960 217861078520 230676436080 245093713335 261433294224 276811723296 294112456002 307568581440 326791617780 330956608987 346014654120 348577725632 369082297728 392149941336 435722157040 461352872160 490187426670 522866588448 553623446592 588224912004 615137162880 653583235560 661913217974 692029308240 697155451264 735281140005 784299882672 871444314080 922705744320 980374853340 992869826961 1045733176896 1107246893184 1176449824008 1307166471120 1323826435948 1384058616480 1470562280010 1568599765344 1654783044935 1742888628160 1845411488640 1960749706680 1985739653922 2091466353792 2352899648016 2614332942240 2647652871896 2768117232960 2941124560020 2978609480883 3137199530688 3309566089870 3485777256320 3921499413360 3971479307844 4705799296032 4964349134805 5228665884480 5295305743792 5536234465920 5626262352779 5882249120040 5957218961766 6274399061376 6619132179740 7842998826720 7942958615688 8935828442649 9411598592064 9928698269610 10457331768960 10590611487584 11252524705558 11764498240080 11914437923532 13238264359480 14893047404415 15685997653440 15885917231376 16878787058337 17871656885298 18823197184128 19857396539220 21181222975168 22505049411116 23528996480160 23828875847064 26476528718960 28131311763895 29786094808830 31371995306880 31771834462752 33757574116674 35743313770596 39714793078440 42362445950336 44679142213245 45010098822232 47057992960320 47657751694128 50636361175011 52953057437920 56262623527790 59572189617660 63543668925504 67515148233348 71486627541192 79429586156880 84393935291685 89358284426490 90020197644464 94115985920640 95315503388256 101272722350022 105906114875840 112525247055580 119144379235320 127087337851008 135030296466696 142973255082384 151909083525033 158859172313760 168787870583370 178716568852980 180040395288928 190631006776512 202545444700044 211812229751680 225050494111160 238288758470640 253181805875055 270060592933392 285946510164768 303818167050066 317718344627520 337575741166740 357433137705960 360080790577856 381262013553024 405090889400088 450100988222320 476577516941280 506363611750110 540121185866784 571893020329536 607636334100132 635436689255040 675151482333480 714866275411920 720161581155712 759545417625165 810181778800176 900201976444640 953155033882560 1012727223500220 1080242371733568 1143786040659072 1215272668200264 1350302964666960 1429732550823840 1519090835250330 1620363557600352 1800403952889280 1906310067765120 2025454447000440 2160484743467136 2430545336400528 2700605929333920 2859465101647680 3038181670500660 3240727115200704 3600807905778560 4050908894000880 4861090672801056 5401211858667840 5718930203295360 6076363341001320 6481454230401408 8101817788001760 9722181345602112 10802423717335680 12152726682002640 16203635576003520 19444362691204224 24305453364005280 32407271152007040 48610906728010560 97221813456021120
• Sum of all divisors σ(n): 364934736546336000
• Sum of proper divisors (its aliquot sum) s(n): 267712923090314880
• 97221813456021120 is an abundant number, because the sum of its proper divisors (267712923090314880) is greater than itself. Its abundance is 170491109634293760

Bases of 97221813456021120

• Binary: 101011001011001101011100101100111011101110010011010000000₂
• Hexadecimal: 0x15966B967772680
• Base-36: QLA98IQVMO0

Squares and roots of 97221813456021120

• 97221813456021120 squared (97221813456021120²) is 9452081011677369313336381886054400
• 97221813456021120 cubed (97221813456021120³) is 918948456888496584988975158743855989053439868928000
• The square root of 97221813456021120 is 311804126.7462974423
• The cube root of 97221813456021120 is 459820.0516312143

Scales and comparisons

• 97,221,813,456,021,120 seconds is equal to 3,091,352,941 years, 4 weeks, 3 days, 19 hours, 12 minutes.
• To count from 1 to 97,221,813,456,021,120 would take you about nine billion, two hundred seventy-four million, fifty-eight thousand, eight hundred twenty-three 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 97221813456021120 cubic inches would be around 38318.3 feet tall.

Recreational maths with 97221813456021120

• 97221813456021120 backwards is 02112065431812279
• 97221813456021120 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 97221813456021120's digits is 54
• More coming soon!