31683973029769216

Names of 31683973029769216

• Cardinal: 31683973029769216 can be written as Thirty-one quadrillion, six hundred eighty-three trillion, nine hundred seventy-three billion, twenty-nine million, seven hundred sixty-nine thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 3.1683973029769216 × 10¹⁶

Factors of 31683973029769216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 3300

Divisors of 31683973029769216

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 8 13 16 26 32 37 52 64 74 104 127 128 148 169 208 254 256 296 338 416 481 508 512 592 676 832 962 1016 1024 1184 1352 1651 1664 1924 2032 2048 2368 2704 3121 3302 3328 3848 4064 4096 4699 4736 5408 6242 6253 6604 6656 7696 8128 9398 9472 10816 12484 12506 13208 13312 15392 16256 18796 18944 21463 21632 24968 25012 26416 26624 30784 32512 37592 37888 40573 42926 43264 49936 50024 52832 53248 61087 61568 65024 75184 75776 81146 85852 86528 99872 100048 105664 115477 122174 123136 130048 150368 151552 162292 171704 173056 199744 200096 211328 230954 244348 246272 260096 300736 324584 343408 346112 396367 399488 400192 422656 461908 488696 492544 520192 527449 601472 649168 686816 692224 792734 794131 798976 800384 845312 923816 977392 985088 1054898 1202944 1298336 1373632 1501201 1585468 1588262 1597952 1600768 1690624 1847632 1954784 1970176 2109796 2405888 2596672 2747264 3002402 3170936 3176524 3195904 3201536 3381248 3695264 3909568 4219592 4811776 5152771 5193344 5494528 6004804 6341872 6353048 6391808 6403072 6762496 7390528 7819136 8439184 9623552 9740641 10305542 10386688 10989056 12009608 12683744 12706096 12783616 12806144 14665579 14781056 15638272 16878368 19247104 19481282 19515613 20611084 20773376 21978112 24019216 25367488 25412192 25612288 29331158 29562112 31276544 33756736 38962564 39031226 41222168 41546752 43956224 48038432 50734976 50824384 58662316 59124224 62553088 66986023 67513472 77925128 78062452 82444336 83093504 87912448 96076864 101469952 101648768 117324632 118248448 125106176 126628333 133972046 135026944 155850256 156124904 164888672 166187008 190652527 192153728 202939904 203297536 234649264 236496896 250212352 253256666 267944092 270053888 311700512 312249808 329777344 360403717 381305054 384307456 405879808 406595072 469298528 472993792 506513332 535888184 540107776 623401024 624499616 659554688 720807434 762610108 768614912 811759616 813190144 938597056 1013026664 1071776368 1080215552 1237061407 1246802048 1248999232 1319109376 1441614868 1525220216 1537229824 1623519232 1626380288 1646168329 1877194112 2026053328 2143552736 2160431104 2474122814 2478482851 2493604096 2497998464 2638218752 2883229736 3050440432 3074459648 3252760576 3292336658 3754388224 4052106656 4287105472 4685248321 4948245628 4956965702 4987208192 4995996928 5276437504 5766459472 6100880864 6148919296 6584673316 7508776448 8104213312 8574210944 9370496642 9896491256 9913931404 9974416384 9991993856 10552875008 11532918944 12201761728 13169346632 15017552896 16081798291 16208426624 17148421888 18740993284 19792982512 19827862808 19948832768 19983987712 21105750016 23065837888 24403523456 26338693264 30035105792 32163596582 32416853248 34296843776 37481986568 39585965024 39655725616 39897665536 39967975424 45771272059 46131675776 48807046912 52677386528 60070211584 60908228173 64327193164 64833706496 68593687552 74963973136 79171930048 79311451232 79935950848 91542544118 92263351552 97614093824 105354773056 121816456346 128654386328 129667412992 137187375104 149927946272 158343860096 158622902464 183085088236 184526703104 195228187648 209063377783 210709546112 243632912692 257308772656 259334825984 274374750208 299855892544 316687720192 317245804928 366170176472 369053406208 390456375296 418126755566 421419092224 487265825384 514617545312 518669651968 595026536767 599711785088 633375440384 634491609856 732340352944 738106812416 780912750592 836253511132 842838184448 974531650768 1029235090624 1190053073534 1199423570176 1266750880768 1268983219712 1464680705888 1476213624832 1672507022264 1685676368896 1949063301536 2058470181248 2380106147068 2398847140352 2533501761536 2537966439424 2929361411776 3345014044528 3371352737792 3898126603072 4116940362496 4760212294136 4797694280704 5067003523072 5075932878848 5858722823552 6690028089056 6742705475584 7735344977971 7796253206144 8233880724992 9520424588272 9595388561408 10151865757696 11717445647104 13380056178112 15470689955942 15592506412288 16467761449984 19040849176544 19190777122816 23434891294208 26760112356224 30941379911884 31185012824576 32935522899968 38081698353088 46869782588416 53520224712448 61882759823768 62370025649152 65871045799936 76163396706176 93739565176832 107040449424896 123765519647536 124740051298304 152326793412352 187479130353664 214080898849792 247531039295072 249480102596608 304653586824704 428161797699584 495062078590144 609307173649408 856323595399168 990124157180288 1218614347298816 1980248314360576 2437228694597632 3960496628721152 7920993257442304 15841986514884608 31683973029769216
• Sum of all divisors σ(n): 71040873682596096
• Sum of proper divisors (its aliquot sum) s(n): 39356900652826880
• 31683973029769216 is an abundant number, because the sum of its proper divisors (39356900652826880) is greater than itself. Its abundance is 7672927623057664

Bases of 31683973029769216

• Binary: 1110000100100000110011111010101100000110011000000000000₂
• Hexadecimal: 0x709067D5833000
• Base-36: 8NZ149PZE9S

Squares and roots of 31683973029769216

• 31683973029769216 squared (31683973029769216²) is 1003874146951143072836542221254656
• 31683973029769216 cubed (31683973029769216³) is 31806721397282595756294356733767304905937645469696
• The square root of 31683973029769216 is 177999924.2409086421
• The cube root of 31683973029769216 is 316431.6226657575

Scales and comparisons

• 31,683,973,029,769,216 seconds is equal to 1,007,452,337 years, 19 weeks, 6 days, 12 hours, 20 minutes, 16 seconds.
• To count from 1 to 31,683,973,029,769,216 would take you about three billion, twenty-two million, three hundred fifty-seven thousand and twelve 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 31683973029769216 cubic inches would be around 26369.3 feet tall.

Recreational maths with 31683973029769216

• 31683973029769216 backwards is 61296792037938613
• The number of decimal digits it has is: 17
• The sum of 31683973029769216's digits is 82
• More coming soon!