972149584647969

Names of 972149584647969

• Cardinal: 972149584647969 can be written as Nine hundred seventy-two trillion, one hundred forty-nine billion, five hundred eighty-four million, six hundred forty-seven thousand, nine hundred sixty-nine.

Scientific notation

• Scientific notation: 9.72149584647969 × 10¹⁴

Factors of 972149584647969

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 121

Divisors of 972149584647969

• Number of divisors d(n): 576
• Complete list of divisors:
  1 3 7 9 13 19 21 27 39 57 63 79 81 91 117 133 169 171 189 237 243 247 273 351 361 399 507 513 553 567 711 741 819 1027 1053 1083 1183 1197 1501 1521 1539 1659 1701 1729 2133 2223 2457 2527 3081 3159 3211 3249 3549 3591 4503 4563 4617 4693 4977 5187 6241 6399 6669 6859 7189 7371 7581 9243 9633 9747 10507 10647 10773 13351 13509 13689 14079 14931 15561 18723 19197 19513 20007 20577 21567 22113 22477 22743 27729 28519 28899 29241 31521 31941 32319 32851 40053 40527 41067 42237 43687 44793 46683 48013 56169 58539 60021 61009 61731 64701 67431 68229 81133 83187 85557 86697 87723 89167 93457 94563 95823 98553 118579 120159 121581 126711 131061 134379 136591 140049 144039 168507 175617 183027 185193 194103 199633 202293 204687 243399 249561 253669 256671 260091 267501 280371 283689 287469 295659 355737 360477 364743 370747 380133 393183 409773 420147 427063 432117 493039 505521 526851 541861 549081 555579 567931 582309 598899 606879 614061 624169 730197 761007 770013 780273 802503 830053 841113 851067 886977 1054729 1067211 1081431 1112241 1140399 1159171 1179549 1229319 1281189 1296351 1479117 1516563 1541527 1580553 1625583 1647243 1666737 1703793 1746927 1775683 1796697 1820637 1872507 2190591 2253001 2283021 2310039 2407509 2490159 2523339 2553201 2595229 2660931 3164187 3201633 3244293 3336723 3451273 3477513 3538647 3687957 3793027 3843567 3889053 4437351 4624581 4741659 4819711 4876749 4941729 5111379 5327049 5390091 5461911 5617521 6409507 6571773 6759003 6849063 6930117 7044193 7222527 7383103 7470477 7570017 7785687 7982793 8114197 9367741 9492561 9604899 10010169 10353819 10432539 10615941 10790689 11063871 11379081 11530701 11667159 13312053 13873743 14459133 14630247 14825187 15334137 15771007 15981147 16170273 16852563 19228521 19715319 20039851 20277009 20547189 21132579 21667581 22149309 22411431 22710051 23357061 24342591 28103223 28477683 28814697 29289013 30030507 31061457 31297617 32372067 33191613 33737977 34137243 34592103 39936159 41621229 42807019 43377399 43890741 44866549 46002411 47313021 47943441 48510819 49309351 50557689 57685563 60119553 60831027 61641567 63397737 65574187 66447927 67234293 70071183 73027773 83323591 84309669 85433049 87867039 90091521 91574509 93184371 93892851 97116201 101213931 102411729 103776309 119808477 121780633 124863687 128421057 130132197 131672223 134599647 138007233 140278957 141939063 143830323 147928053 151673067 173056689 177987079 180358659 182493081 190193211 196722561 199343781 201702879 205023091 210213549 219083319 249970773 252929007 256299147 263601117 274723527 279553113 281678553 291348603 299649133 303641793 307235187 365341899 374591061 380757169 385263171 390396591 403798941 420836871 425817189 431490969 443784159 519170067 533961237 541075977 547479243 556491247 570579633 583265137 590167683 598031343 615069273 630640647 641021563 657249957 749912319 758787021 790803351 824170581 838659339 852464431 874045809 898947399 910925379 921705561 1096025697 1142271507 1155789513 1171189773 1211396823 1245909553 1262510613 1277451567 1331352477 1557510201 1583148229 1601883711 1623227931 1669473741 1711738899 1749795411 1770503049 1794094029 1845207819 1923064689 1971749871 2249736957 2276361063 2313832027 2372410053 2472511743 2557393293 2622137427 2665300183 2696842197 2732776137 3288077091 3381754501 3426814521 3467368539 3634190469 3737728659 3787531839 3832354701 3895438729 3994057431 4749444687 4805651133 4869683793 5008421223 5249386233 5311509147 5535623457 5769194067 6749210871 6941496081 7117230159 7234386211 7417535229 7672179879 7995900549 8090526591 8198328411 9864231273 10145263503 10280443563 10402105617 10902571407 11082037603 11213185977 11362595517 11686316187 11982172293 14248334061 14416953399 15025263669 15748158699 15934527441 16196824189 16606870371 17307582201 20247632613 20824488243 21703158633 22252605687 23016539637 23672281507 23987701647 24271579773 29592693819 30079816351 30435790509 30841330689 33246112809 33639557931 34087786551 35058948561 42745002183 43250860197 43962808513 45075791007 47244476097 48590472567 49820611113 50640703477 51922746603 62473464729 65109475899 69049618911 71016844521 71963104941 72814739319 90239449053 91307371527 92523992067 99738338427 100918673793 105176845683 128235006549 131888425539 135227373021 141733428291 145771417701 151922110431 155768239809 187420394187 195328427697 207148856733 210558714457 213050533563 215889314823 270718347159 273922114581 299215015281 302756021379 307739659591 315530537049 384705019647 395665276617 437314253103 455766331293 562261182561 571516510669 585985283091 631676143371 639151600689 647667944469 812155041477 821766343743 897645045843 923218978773 946591611147 1186995829851 1311942759309 1367298993879 1714549532007 1757955849273 1895028430113 1917454802067 2436465124431 2692935137529 2769656936319 3560987489553 3935828277927 4000615574683 4101896981637 5143648596021 5685085290339 5752364406201 7309395373293 8308970808957 10682962468659 12001846724049 12305690944911 15430945788063 17055255871017 24926912426871 36005540172147 46292837364189 51165767613051 74780737280613 108016620516441 138878512092567 324049861549323 972149584647969
• Sum of all divisors σ(n): 1926614293094400
• Sum of proper divisors (its aliquot sum) s(n): 954464708446431
• 972149584647969 is a deficient number, because the sum of its proper divisors (954464708446431) is less than itself. Its deficiency is 17684876201538

Bases of 972149584647969

• Binary: 11011101000010101000110110101010010101011100100001₂
• Hexadecimal: 0x3742A36A95721
• Base-36: 9KLJCQJH29

Squares and roots of 972149584647969

• 972149584647969 squared (972149584647969²) is 945074814931218644009655824961
• 972149584647969 cubed (972149584647969³) is 918754088796640376143197815759305641468154209
• The square root of 972149584647969 is 31179313.4088608339
• The cube root of 972149584647969 is 99062.8986632419

Scales and comparisons

• 972,149,584,647,969 seconds is equal to 30,911,349 years, 38 weeks, 1 day, 19 hours, 6 minutes, 9 seconds.
• To count from 1 to 972,149,584,647,969 would take you about seventy-seven million, two hundred seventy-eight thousand, three hundred seventy-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 972149584647969 cubic inches would be around 8255.2 feet tall.

Recreational maths with 972149584647969

• 972149584647969 backwards is 969746485941279
• The number of decimal digits it has is: 15
• The sum of 972149584647969's digits is 90
• More coming soon!