31678421294502072

Names of 31678421294502072

• Cardinal: 31678421294502072 can be written as Thirty-one quadrillion, six hundred seventy-eight trillion, four hundred twenty-one billion, two hundred ninety-four million, five hundred two thousand and seventy-two.

Scientific notation

• Scientific notation: 3.1678421294502072 × 10¹⁶

Factors of 31678421294502072

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 142

Divisors of 31678421294502072

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 8 9 12 17 18 24 27 34 36 37 51 54 68 72 74 83 102 108 111 136 148 153 166 204 216 222 249 289 296 306 332 333 408 444 459 498 578 612 629 664 666 747 867 888 918 996 999 1156 1224 1258 1332 1411 1494 1734 1836 1887 1992 1998 2241 2312 2516 2601 2664 2822 2988 3071 3468 3672 3774 3996 4233 4482 4913 5032 5202 5644 5661 5976 6142 6889 6936 7548 7803 7992 8466 8964 9213 9826 10404 10693 11288 11322 12284 12699 13778 14739 15096 15606 16932 16983 17928 18426 19652 20667 20808 21386 22644 23987 24568 25398 27556 27639 29478 31212 32079 33864 33966 36852 38097 39304 41334 42772 44217 45288 47974 50796 52207 55112 55278 58956 62001 62424 64158 67932 71961 73704 76194 82668 82917 83521 85544 88434 95948 96237 101592 104414 110556 117113 117912 124002 128316 132651 135864 143922 152388 156621 165336 165834 167042 176868 181781 186003 191896 192474 208828 215883 221112 234226 248004 250563 254893 256632 265302 287844 288711 304776 313242 331668 334084 351339 353736 363562 372006 384948 407779 417656 431766 468452 469863 496008 501126 509786 530604 545343 571787 575688 577422 626484 647649 663336 668168 702678 727124 744012 751689 764679 769896 815558 863532 887519 936904 939726 1002252 1019572 1054017 1061208 1090686 1143574 1154844 1223337 1252968 1295298 1405356 1409589 1454248 1488024 1503378 1529358 1631116 1636029 1715361 1727064 1775038 1879452 1990921 2004504 2039144 2108034 2181372 2255067 2287148 2294037 2309688 2446674 2590596 2662557 2810712 2819178 3006756 3058716 3090277 3162051 3262232 3272058 3430722 3550076 3670011 3758904 3981842 4216068 4333181 4362744 4510134 4574296 4588074 4893348 4908087 5146083 5181192 5325114 5638356 5972763 6013512 6117432 6180554 6324102 6544116 6861444 6882111 6932243 7100152 7340022 7963684 7987671 8432136 8666362 9020268 9176148 9270831 9720379 9786696 9816174 10292166 10650228 11010033 11276712 11945526 12361108 12648204 12999543 13088232 13722888 13764222 13864486 14680044 15087823 15438249 15927368 15975342 17332724 17918289 18040536 18352296 18541662 19440758 19632348 20584332 20796729 21156119 21300456 22020066 23891052 23963013 24722216 25296408 25999086 27528444 27728972 27812493 29161137 29360088 30175646 30876498 31950684 33845657 34665448 35836578 37083324 38881516 38998629 39264696 41168664 41593458 42312238 44040132 45263469 47458321 47782104 47926026 51998172 53754867 55056888 55457944 55624986 58322274 60351292 61752996 62390187 63468357 63901368 67691314 71673156 73664077 74166648 77763032 77997258 83186916 83437479 84624476 87483411 88080264 90526938 94916642 95852052 101536971 103996344 107509734 111249972 116644548 116995887 120702584 123505992 124780374 126936714 135382628 135790407 142374963 143346312 147328154 155994516 165246443 166373832 166874958 169248952 174966822 181053876 187170561 189833284 190405071 191704104 203073942 215019468 220992231 222499944 233289096 233991774 249560748 253873428 256492991 262450233 270765256 271580814 284749926 294656308 304610913 311989032 330492886 333749916 349933644 359654023 362107752 374341122 379666568 380810142 406147884 407371221 427124889 430038936 441984462 467983548 495739329 499121496 507746856 512985982 524900466 543161628 569499852 571215213 575376169 589312616 609221826 660985772 662976693 667499832 699867288 719308046 748682244 761620284 769478973 806791457 812295768 814742442 854249778 883968924 913832739 935967096 991478658 1025971964 1049800932 1078962069 1086323256 1138999704 1142430426 1150752338 1218443652 1252289309 1281374667 1321971544 1325953386 1438616092 1487217987 1497364488 1523240568 1538957946 1613582914 1629484884 1708499556 1726128507 1755957877 1767937848 1827665478 1982957316 1988930079 2051943928 2099601864 2157924138 2284860852 2301504676 2308436919 2420374371 2436887304 2504578618 2562749334 2651906772 2809189531 2877232184 2974435974 3077915892 3227165828 3236886207 3258969768 3416999112 3452257014 3511915754 3655330956 3756867927 3965914632 3977860158 4315848276 4461653961 4569721704 4603009352 4616873838 4840748742 5009157236 5125498668 5178385521 5267873631 5303813544 5618379062 5948871948 6114118391 6155831784 6454331656 6473772414 6904514028 6925310757 7023831508 7261123113 7310661912 7513735854 7955720316 8427568593 8631696552 8923307922 9233747676 9681497484 9710658621 10018314472 10250997336 10356771042 10535747262 11236758124 11270603781 11897743896 12228236782 12947544828 13715454769 13809028056 13850621514 14047663016 14522246226 15027471708 15535156563 15803620893 15911440632 16855137186 17846615844 18342355173 18467495352 19362994968 19421317242 20713542084 21071494524 21288918253 21783369339 22473516248 22541207562 24456473564 25282705779 25895089656 27430909538 27701243028 29044492452 29851283909 30054943416 31070313126 31607241786 33710274372 33811811343 35693231688 36684710346 38842634484 41146364307 41427084168 42142989048 42577836506 43566738678 45082415124 47410862679 47756222027 48912947128 50565411558 54861819076 55027065519 55402486056 58088984904 59702567818 62140626252 63214483572 63866754759 67420548744 67623622686 73369420692 75848117337 77685268968 82292728614 85155673012 87133477356 89553851727 90164830248 94821725358 95512444054 101130823116 103940012647 109723638152 110054131038 119405135636 123439092921 124281252504 126428967144 127733509518 135247245372 143268666081 146738841384 151696234674 164585457228 165081196557 170311346024 174266954712 179107703454 189643450716 191024888108 191600264277 202261646232 207880025294 220108262076 233162731073 238810271272 246878185842 255467019036 268661555181 270494490744 286537332162 303392469348 311820037941 329170914456 330162393114 358215406908 370317278763 379286901432 382049776216 383200528554 415760050588 429805998243 440216524152 466325462146 493756371684 507471826453 510934038072 537323110362 573074664324 574800792831 606784938696 623640075882 660324786228 699488193219 716430813816 740634557526 766401057108 805984665543 831520101176 859611996486 932650924292 935460113823 987512743368 1014943652906 1074646220724 1146149328648 1149601585662 1247280151764 1289417994729 1320649572456 1398976386438 1481269115052 1522415479359 1532802114216 1611969331086 1719223992972 1766980214999 1865301848584 1870920227646 2029887305812 2098464579657 2149292441448 2299203171324 2494560303528 2578835989458 2797952772876 2806380341469 2962538230104 3044830958718 3223938662172 3438447985944 3533960429998 3741840455292 3963766428241 4059774611624 4196929159314 4567246438077 4598406342648 5157671978916 5300940644997 5595905545752 5612760682938 6089661917436 6295393738971 6447877324344 7067920859996 7483680910584 7927532856482 8393858318628 8627021049701 9134492876154 10315343957832 10601881289994 11225521365876 11891299284723 12179323834872 12590787477942 13701739314231 14135841719992 15855065712964 15902821934991 16787716637256 17254042099402 18268985752308 21203762579988 22451042731752 23782598569446 25181574955884 25881063149103 27403478628462 31710131425928 31805643869982 34508084198804 35673897854169 36537971504616 42407525159976 47565197138892 47708465804973 50363149911768 51762126298206 54806957256924 63611287739964 69016168397608 71347795708338 77643189447309 95130394277784 95416931609946 103524252596412 107021693562507 109613914513848 127222575479928 142695591416676 146659357844917 155286378894618 190833863219892 207048505192824 214043387125014 232929568341927 285391182833352 293318715689834 310572757789236 381667726439784 428086774250028 439978073534751 465859136683854 586637431379668 621145515578472 856173548500056 879956147069502 931718273367708 1173274862759336 1319934220604253 1759912294139004 1863436546735416 2639868441208506 3519824588278008 3959802661812759 5279736882417012 7919605323625518 10559473764834024 15839210647251036 31678421294502072
• Sum of all divisors σ(n): 97193176194478800
• Sum of proper divisors (its aliquot sum) s(n): 65514754899976728
• 31678421294502072 is an abundant number, because the sum of its proper divisors (65514754899976728) is greater than itself. Its abundance is 33836333605474656

Bases of 31678421294502072

• Binary: 1110000100010110101101100111000010011011101000010111000₂
• Hexadecimal: 0x708B5B384DD0B8
• Base-36: 8NX29U65A60

Squares and roots of 31678421294502072

• 31678421294502072 squared (31678421294502072²) is 1003522375711962331108094412293184
• 31678421294502072 cubed (31678421294502072³) is 31790004596263136406518992997654918574428959477248
• The square root of 31678421294502072 is 177984328.7890876983
• The cube root of 31678421294502072 is 316413.1396384511

Scales and comparisons

• 31,678,421,294,502,072 seconds is equal to 1,007,275,809 years, 19 weeks, 3 days, 7 hours, 1 minute, 12 seconds.
• To count from 1 to 31,678,421,294,502,072 would take you about three billion, twenty-one million, eight hundred twenty-seven thousand, four hundred twenty-eight 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 31678421294502072 cubic inches would be around 26367.8 feet tall.

Recreational maths with 31678421294502072

• 31678421294502072 backwards is 27020549212487613
• The number of decimal digits it has is: 17
• The sum of 31678421294502072's digits is 63
• More coming soon!