3972995331401313

Names of 3972995331401313

• Cardinal: 3972995331401313 can be written as Three quadrillion, nine hundred seventy-two trillion, nine hundred ninety-five billion, three hundred thirty-one million, four hundred one thousand, three hundred thirteen.

Scientific notation

• Scientific notation: 3.972995331401313 × 10¹⁵

Factors of 3972995331401313

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1102

Divisors of 3972995331401313

• Number of divisors d(n): 486
• Complete list of divisors:
  1 3 7 9 17 21 23 31 49 51 63 69 93 119 147 153 161 207 217 279 357 391 441 483 527 529 651 713 833 961 1021 1071 1127 1173 1449 1519 1581 1587 1953 2139 2499 2737 2883 3063 3381 3519 3689 3703 4557 4743 4761 4991 6417 6727 7147 7497 8211 8649 8993 9189 10143 11067 11109 12121 13671 14973 16337 16399 17357 19159 20181 21441 22103 23483 24633 25823 25921 26979 31651 33201 33327 34937 36363 44919 47089 49011 49197 50029 52071 57477 60543 62951 64323 66309 70449 77469 77763 80937 84847 94953 104811 109089 114359 114793 121499 141267 147033 147591 150087 154721 156213 164381 172431 188853 198927 211347 221557 232407 233289 254541 278783 284859 314433 343077 344379 364497 375751 399211 423801 440657 450261 464163 493143 508369 538067 540109 566559 593929 664671 727973 763623 800513 803551 836349 850493 981181 1029231 1033137 1042441 1083047 1093491 1127253 1150667 1197633 1321971 1392489 1479429 1525107 1550899 1614201 1620327 1781787 1951481 1994013 2183919 2401539 2410653 2509047 2551479 2630257 2794477 2943543 3127323 3249141 3381759 3452001 3558583 3592899 3766469 3780763 3965913 4575321 4652697 4842603 4860981 5095811 5345361 5854443 6551757 6868267 7204617 7231959 7297087 7654437 7890771 8383431 8642273 8830629 9181853 9381969 9747423 10356003 10675749 11299407 11342289 12375541 13660367 13958091 15287433 16680077 16743379 17563329 17721497 18411799 19561339 20604801 21891261 22567163 23672313 23976143 24910081 25150293 25926819 26365283 26465341 27545559 32027247 32315671 33898221 34026867 35670677 37126623 40981101 45862299 48077869 50040231 50230137 51079609 53164491 55235397 58684017 60495911 61814403 64272971 65673783 67701489 71928429 74730243 77780457 79095849 79396023 82636677 86628787 96947013 107012031 111379869 116760539 117203653 122943303 124050479 144233607 150120693 150690411 153238827 157970141 159493473 165706191 167833001 176052051 181487733 192818913 203104467 215785287 224190729 226209697 237287547 238188069 259886361 284637443 290841039 321036093 350281617 351610959 372151437 383641771 407594431 423471377 432700821 449910797 459716481 473910423 503499003 519044749 544463199 549366407 551451289 578456739 606401509 678629091 743260433 779659083 817323773 820425571 853912329 868353353 1001785801 1050844851 1054832877 1105790987 1116454311 1150925313 1174831007 1222783293 1270414131 1349732391 1421731269 1510497009 1557134247 1583467879 1648099221 1654353867 1819204527 1992462101 2035887273 2229781299 2451971319 2461276713 2561736987 2605060059 2685492397 2853161017 3005357403 3317372961 3452775939 3524493021 3633313243 3668349879 3811242393 3845564849 3860159023 4049197173 4671402741 4750403637 4944297663 4963061601 5202823031 5457613581 5977386303 6689343897 7012500607 7355913957 7383830139 7815180177 8056477191 8559483051 8823760733 9016072209 9374671913 9952118883 10573479063 10899939729 11536694547 11580477069 12635427361 13947234707 14251210911 15608469093 17030358617 17094989959 17932158909 18798446779 19972127119 21037501821 23041073423 24169431573 25433192701 25678449153 26471282199 26918953943 27021113161 28124015739 32699819187 34610083641 34741431207 36419761217 37906282083 41841704121 46825407279 49087504249 51091075851 51284969877 56395340337 59916381357 61766325131 63112505463 65622703391 69123220269 76299578103 79413846597 80756861829 81063339483 84372047217 88447991527 109259283651 113718846249 119212510319 119664929713 125525112363 147262512747 153273227553 153854909631 161287513961 169186021011 179749144071 185298975393 196868110173 207369660807 228898734309 242270585487 243190018449 265343974581 290614829303 327777850953 357637530957 358994789139 391698248191 432364275917 441787538241 459358923737 483862541883 529944688729 555896926179 590604330519 619135940689 796031923743 834487572233 837654507991 871844487909 1072912592871 1076984367417 1129012597727 1175094744573 1297092827751 1378076771211 1451587625649 1589834066187 1857407822067 2034303805121 2503462716699 2512963523973 2615533463727 2741887737337 3387037793181 3525284233719 3709612821103 3891278483253 4134230313633 4769502198561 5572223466201 6102911415363 7510388150097 7538890571919 8225663212011 9009059708393 10161113379543 11128838463309 14240126635847 18308734246089 19193214161359 24676989636033 25967289747721 27027179125179 33386515389927 42720379907541 57579642484077 63063417958751 77901869243163 81081537375537 128161139722623 172738927452231 189190253876253 233705607729489 441443925711257 567570761628759 1324331777133771 3972995331401313
• Sum of all divisors σ(n): 7642617896730726
• Sum of proper divisors (its aliquot sum) s(n): 3669622565329413
• 3972995331401313 is a deficient number, because the sum of its proper divisors (3669622565329413) is less than itself. Its deficiency is 303372766071900

Bases of 3972995331401313

• Binary: 1110000111010110101100001111011011000010011001100001₂
• Hexadecimal: 0xE1D6B0F6C2661
• Base-36: 134B4UWM7A9

Squares and roots of 3972995331401313

• 3972995331401313 squared (3972995331401313²) is 15784691903336628911700258123969
• 3972995331401313 cubed (3972995331401313³) is 62712507239564532049268469356464821877243371297
• The square root of 3972995331401313 is 63031701.0035530693
• The cube root of 3972995331401313 is 158382.0712738065

Scales and comparisons

• 3,972,995,331,401,313 seconds is equal to 126,328,962 years, 13 weeks, 2 days, 14 hours, 8 minutes, 33 seconds.
• To count from 1 to 3,972,995,331,401,313 would take you about three hundred seventy-eight million, nine hundred eighty-six thousand, eight hundred eighty-six 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 3972995331401313 cubic inches would be around 13198.5 feet tall.

Recreational maths with 3972995331401313

• 3972995331401313 backwards is 3131041335992793
• 3972995331401313 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3972995331401313's digits is 63
• More coming soon!