12970626632817984

Names of 12970626632817984

• Cardinal: 12970626632817984 can be written as Twelve quadrillion, nine hundred seventy trillion, six hundred twenty-six billion, six hundred thirty-two million, eight hundred seventeen thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.2970626632817984 × 10¹⁶

Factors of 12970626632817984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1266

Divisors of 12970626632817984

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 144 156 186 192 208 234 248 279 288 312 372 403 416 468 496 558 576 624 744 806 832 936 961 992 1116 1209 1217 1248 1488 1612 1872 1922 1984 2232 2418 2434 2496 2883 2976 3224 3627 3651 3744 3844 4464 4836 4868 5766 5952 6448 7254 7302 7488 7688 8649 8928 9672 9736 10953 11532 12493 12896 14508 14604 15376 15821 17298 17856 19344 19472 21906 23064 24986 25792 29016 29208 30752 31642 34596 37479 37727 38688 38944 43812 46128 47463 49972 58032 58416 61504 63284 69192 74958 75454 77376 77888 87624 92256 94926 99944 112437 113181 116064 116832 126568 138384 142389 149916 150908 175248 184512 189852 199888 224874 226362 232128 233664 253136 276768 284778 299832 301816 339543 350496 379704 399776 449748 452724 490451 506272 553536 569556 599664 603632 679086 700992 759408 799552 899496 905448 980902 1012544 1139112 1169537 1199328 1207264 1358172 1471353 1481089 1518816 1798992 1810896 1961804 2278224 2339074 2398656 2414528 2716344 2942706 2962178 3037632 3508611 3597984 3621792 3923608 4414059 4443267 4556448 4678148 5432688 5885412 5924356 7017222 7195968 7243584 7847216 8828118 8886534 9112896 9356296 10525833 10865376 11770824 11848712 13329801 14034444 15203981 15694432 17656236 17773068 18712592 19254157 21051666 21730752 23541648 23697424 26659602 28068888 30407962 31388864 35312472 35546136 37425184 38508314 42103332 45611943 45913759 47083296 47394848 53319204 56137776 57762471 60815924 70624944 71092272 74850368 77016628 84206664 91223886 91827518 94166592 94789696 106638408 112275552 115524942 121631848 136835829 137741277 141249888 142184544 154033256 168413328 173287413 182447772 183655036 213276816 224551104 231049884 243263696 273671658 275482554 282499776 284369088 308066512 336826656 346574826 364895544 367310072 413223831 426553632 462099768 486527392 547343316 550965108 596878867 616133024 673653312 693149652 729791088 734620144 826447662 853107264 924199536 973054784 1094686632 1101930216 1193757734 1232266048 1386299304 1423326529 1459582176 1469240288 1652895324 1790636601 1802485313 1848399072 2189373264 2203860432 2387515468 2772598608 2846653058 2919164352 2938480576 3305790648 3581273202 3604970626 3696798144 4269979587 4378746528 4407720864 4775030936 5371909803 5407455939 5545197216 5693306116 6611581296 7162546404 7209941252 8539959174 8757493056 8815441728 9550061872 10743819606 10814911878 11090394432 11386612232 12809938761 13223162592 14325092808 14419882504 16222367817 17079918348 18503244877 19100123744 21487639212 21629823756 22773224464 23432309069 25619877522 26446325184 28650185616 28839765008 32444735634 34159836696 37006489754 38200247488 42975278424 43259647512 45546448928 46864618138 51239755044 55509734631 55877044703 57300371232 57679530016 64889471268 68319673392 70296927207 74012979508 85950556848 86519295024 91092897856 93729236276 102479510088 111019469262 111754089406 114600742464 115359060032 129778942536 136639346784 140593854414 148025959016 166529203893 167631134109 171901113696 173038590048 187458472552 204959020176 210890781621 222038938524 223508178812 259557885072 273278693568 281187708828 296051918032 333058407786 335262268218 343802227392 346077180096 374916945104 409918040352 421781563242 444077877048 447016357624 502893402327 519115770144 562375417656 592103836064 666116815572 670524536436 726401581139 749833890208 819836080704 843563126484 888155754096 894032715248 1005786804654 1038231540288 1124750835312 1184207672128 1332233631144 1341049072872 1452803162278 1499667780416 1687126252968 1732188385793 1776311508192 1788065430496 2011573609308 2179204743417 2249501670624 2664467262288 2682098145744 2905606324556 3374252505936 3464376771586 3552623016384 3576130860992 4023147218616 4358409486834 4499003341248 5196565157379 5328934524576 5364196291488 5811212649112 6537614230251 6748505011872 6928753543172 8046294437232 8716818973668 10393130314758 10657869049152 10728392582976 11622425298224 13075228460502 13497010023744 13857507086344 15589695472137 16092588874464 17433637947336 20786260629516 22518449015309 23244850596448 26150456921004 27715014172688 31179390944274 32185177748928 34867275894672 41572521259032 45036898030618 46489701192896 52300913842008 55430028345376 62358781888548 67555347045927 69734551789344 83145042518064 90073796061236 104601827684016 110860056690752 124717563777096 135110694091854 139469103578688 166290085036128 180147592122472 202666041137781 209203655368032 249435127554192 270221388183708 332580170072256 360295184244944 405332082275562 418407310736064 498870255108384 540442776367416 720590368489888 810664164551124 997740510216768 1080885552734832 1441180736979776 1621328329102248 2161771105469664 3242656658204496 4323542210939328 6485313316408992 12970626632817984
• Sum of all divisors σ(n): 41405029215699240
• Sum of proper divisors (its aliquot sum) s(n): 28434402582881256
• 12970626632817984 is an abundant number, because the sum of its proper divisors (28434402582881256) is greater than itself. Its abundance is 15463775950063272

Bases of 12970626632817984

• Binary: 101110000101001011011101011000111101101001110101000000₂
• Hexadecimal: 0x2E14B758F69D40
• Base-36: 3JPPBM5IVK0

Squares and roots of 12970626632817984

• 12970626632817984 squared (12970626632817984²) is 168237155247967193534568873824256
• 12970626632817984 cubed (12970626632817984³) is 2182141326488817145520130444299323346872052219904
• The square root of 12970626632817984 is 113888658.9297546519
• The cube root of 12970626632817984 is 234956.2413336535

Scales and comparisons

• 12,970,626,632,817,984 seconds is equal to 412,425,806 years, 7 weeks, 2 days, 9 hours, 26 minutes, 24 seconds.
• To count from 1 to 12,970,626,632,817,984 would take you about one billion, two hundred thirty-seven million, two hundred seventy-seven thousand, four hundred eighteen 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 12970626632817984 cubic inches would be around 19579.7 feet tall.

Recreational maths with 12970626632817984

• 12970626632817984 backwards is 48971823662607921
• The number of decimal digits it has is: 17
• The sum of 12970626632817984's digits is 81
• More coming soon!