31164119977033728

Names of 31164119977033728

• Cardinal: 31164119977033728 can be written as Thirty-one quadrillion, one hundred sixty-four trillion, one hundred nineteen billion, nine hundred seventy-seven million, thirty-three thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 3.1164119977033728 × 10¹⁶

Factors of 31164119977033728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 1901

Divisors of 31164119977033728

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 243 256 288 304 324 342 361 384 432 456 486 512 513 576 608 648 684 722 768 864 912 972 1024 1026 1083 1152 1216 1296 1368 1444 1536 1539 1728 1824 1877 1944 2048 2052 2166 2304 2432 2592 2736 2888 3072 3078 3249 3456 3648 3754 3888 4096 4104 4332 4608 4617 4864 5184 5472 5631 5776 6144 6156 6498 6859 6912 7296 7508 7776 8192 8208 8664 9216 9234 9728 9747 10368 10944 11262 11552 12288 12312 12996 13718 13824 14592 15016 15552 16384 16416 16893 17328 18432 18468 19456 19494 20577 20736 21888 22524 23104 24576 24624 25992 27436 27648 29184 29241 30032 31104 32768 32832 33786 34656 35663 36864 36936 38912 38988 41154 41472 43776 45048 46208 49152 49248 50679 51984 54872 55296 58368 58482 60064 61731 62208 65536 65664 67572 69312 71326 73728 73872 77824 77976 82308 82944 87552 87723 90096 92416 98304 98496 101358 103968 106989 109744 110592 116736 116964 120128 123462 124416 130321 131072 131328 135144 138624 142652 147456 147744 152037 155648 155952 164616 165888 175104 175446 180192 184832 185193 196608 196992 202716 207936 213978 219488 221184 233472 233928 240256 246924 248832 260642 262144 262656 270288 277248 285304 294912 295488 304074 311296 311904 320967 329232 331776 350208 350892 360384 369664 370386 390963 393216 393984 405432 415872 427956 438976 442368 456111 466944 467856 480512 493848 497664 521284 524288 525312 540576 554496 555579 570608 589824 590976 608148 622592 623808 641934 658464 663552 677597 700416 701784 720768 739328 740772 781926 786432 787968 810864 831744 855912 877952 884736 912222 933888 935712 961024 962901 987696 995328 1042568 1050624 1081152 1108992 1111158 1141216 1172889 1179648 1181952 1216296 1245184 1247616 1283868 1316928 1327104 1355194 1400832 1403568 1441536 1478656 1481544 1563852 1572864 1575936 1621728 1663488 1666737 1711824 1755904 1769472 1824444 1867776 1871424 1922048 1925802 1975392 1990656 2032791 2085136 2101248 2162304 2217984 2222316 2282432 2345778 2359296 2363904 2432592 2490368 2495232 2567736 2633856 2654208 2710388 2801664 2807136 2883072 2888703 2957312 2963088 3127704 3151872 3243456 3326976 3333474 3423648 3511808 3518667 3538944 3648888 3735552 3742848 3844096 3851604 3950784 3981312 4065582 4170272 4202496 4324608 4435968 4444632 4564864 4691556 4718592 4727808 4865184 4980736 4990464 5135472 5267712 5308416 5420776 5603328 5614272 5766144 5777406 5914624 5926176 6098373 6255408 6303744 6486912 6653952 6666948 6847296 7023616 7037334 7077888 7297776 7471104 7485696 7688192 7703208 7901568 7962624 8131164 8340544 8404992 8649216 8666109 8871936 8889264 9129728 9383112 9455616 9730368 9961472 9980928 10270944 10535424 10556001 10616832 10841552 11206656 11228544 11532288 11554812 11829248 11852352 12196746 12510816 12607488 12874343 12973824 13307904 13333896 13694592 14047232 14074668 14155776 14595552 14942208 14971392 15376384 15406416 15803136 15925248 16262328 16681088 16809984 17298432 17332218 17743872 17778528 18259456 18295119 18766224 18911232 19460736 19961856 20541888 21070848 21112002 21233664 21683104 22413312 22457088 23064576 23109624 23658496 23704704 24393492 25021632 25214976 25748686 25947648 26615808 26667792 27389184 28094464 28149336 29191104 29884416 29942784 30752768 30812832 31606272 31668003 31850496 32524656 33362176 33619968 34596864 34664436 35487744 35557056 36518912 36590238 37532448 37822464 38623029 38921472 39923712 41083776 42141696 42224004 42467328 43366208 44826624 44914176 46129152 46219248 47316992 47409408 48786984 50043264 50429952 51497372 51895296 53231616 53335584 54778368 54885357 56188928 56298672 58382208 59885568 61505536 61625664 63212544 63336006 63700992 65049312 66724352 67239936 69193728 69328872 70975488 71114112 73037824 73180476 75064896 75644928 77246058 77842944 79847424 82167552 84283392 84448008 86732416 89653248 89828352 92258304 92438496 94633984 94818816 97573968 100086528 100859904 102994744 103790592 106463232 106671168 109556736 109770714 112377856 112597344 115869087 116764416 119771136 123011072 123251328 126425088 126672012 127401984 130098624 133448704 134479872 138387456 138657744 141950976 142228224 146075648 146360952 150129792 151289856 154492116 155685888 159694848 164335104 164656071 168566784 168896016 173464832 179656704 184516608 184876992 189267968 189637632 195147936 200173056 201719808 205989488 207581184 212926464 213342336 219113472 219541428 224755712 225194688 231738174 233528832 239542272 244612517 246022144 246502656 252850176 253344024 260197248 266897408 268959744 276774912 277315488 283901952 284456448 292151296 292721904 300259584 302579712 308984232 311371776 319389696 328670208 329312142 337133568 337792032 346929664 347607261 359313408 369033216 369753984 379275264 390295872 400346112 403439616 411978976 415162368 425852928 426684672 438226944 439082856 449511424 450389376 463476348 467057664 479084544 489225034 492044288 493005312 505700352 506688048 520394496 533794816 553549824 554630976 567803904 568912896 584302592 585443808 600519168 605159424 617968464 622743552 638779392 657340416 658624284 674267136 675584064 693859328 695214522 718626816 733837551 738066432 739507968 758550528 780591744 800692224 806879232 823957952 830324736 851705856 853369344 876453888 878165712 899022848 900778752 926952696 934115328 958169088 978450068 984088576 986010624 1011400704 1013376096 1040788992 1042821783 1067589632 1107099648 1109261952 1137825792 1168605184 1170887616 1201038336 1210318848 1235936928 1245487104 1277558784 1314680832 1317248568 1348534272 1351168128 1387718656 1390429044 1437253632 1467675102 1476132864 1479015936 1517101056 1561183488 1601384448 1647915904 1660649472 1703411712 1706738688 1752907776 1756331424 1798045696 1801557504 1853905392 1868230656 1916338176 1956900136 1972021248 2022801408 2026752192 2081577984 2085643566 2135179264 2201512653 2214199296 2218523904 2275651584 2337210368 2341775232 2402076672 2420637696 2471873856 2490974208 2555117568 2629361664 2634497136 2697068544 2702336256 2775437312 2780858088 2874507264 2935350204 2952265728 2958031872 3034202112 3122366976 3128465349 3202768896 3295831808 3321298944 3413477376 3505815552 3512662848 3596091392 3603115008 3707810784 3736461312 3832676352 3913800272 3944042496 4045602816 4053504384 4163155968 4171287132 4270358528 4403025306 4428398592 4437047808 4551303168 4674420736 4683550464 4804153344 4943747712 4981948416 5110235136 5258723328 5268994272 5394137088 5404672512 5550874624 5561716176 5749014528 5870700408 5916063744 6068404224 6244733952 6256930698 6405537792 6591663616 6604537959 6642597888 6826954752 7011631104 7025325696 7206230016 7415621568 7472922624 7665352704 7827600544 7888084992 8091205632 8107008768 8326311936 8342574264 8540717056 8806050612 8856797184 8874095616 9102606336 9348841472 9367100928 9608306688 9887495424 9963896832 10517446656 10537988544 10788274176 10809345024 11101749248 11123432352 11498029056 11741400816 11832127488 12136808448 12489467904 12513861396 12811075584 13183327232 13209075918 13285195776 13653909504 14023262208 14050651392 14412460032 14831243136 14945845248 15330705408 15655201088 15776169984 16182411264 16214017536 16652623872 16685148528 17081434112 17612101224 17748191232 18205212672 18697682944 18734201856 19216613376 19774990848 19813613877 19927793664 21034893312 21075977088 21618690048 22203498496 22246864704 22996058112 23482801632 23664254976 24273616896 24978935808 25027722792 25622151168 26366654464 26418151836 26570391552 27307819008 28046524416 28101302784 28824920064 29662486272 29891690496 31310402176 31552339968 32364822528 32428035072 33305247744 33370297056 34162868224 35224202448 35496382464 36410425344 37468403712 38433226752 39549981696 39627227754 39855587328 42069786624 42151954176 43237380096 44406996992 44493729408 45992116224 46965603264 47328509952 48547233792 49957871616 50055445584 51244302336 52733308928 52836303672 54615638016 56093048832 56202605568 57649840128 59324972544 59440841631 59783380992 62620804352 63104679936 64856070144 66610495488 66740594112 68325736448 70448404896 70992764928 72820850688 74936807424 76866453504 79099963392 79254455508 79711174656 84139573248 84303908352 86474760192 88813993984 88987458816 93931206528 94657019904 97094467584 99915743232 100110891168 102488604672 105466617856 105672607344 109231276032 112405211136 115299680256 118649945088 118881683262 119566761984 125241608704 126209359872 129712140288 133220990976 133481188224 140896809792 141985529856 145641701376 149873614848 153732907008 158199926784 158508911016 168279146496 168607816704 172949520384 177627987968 177974917632 187862413056 189314039808 199831486464 200221782336 204977209344 210933235712 211345214688 218462552064 224810422272 230599360512 237299890176 237763366524 239133523968 250483217408 252418719744 259424280576 266441981952 266962376448 281793619584 283971059712 291283402752 299747229696 307465814016 316399853568 317017822032 337215633408 345899040768 355255975936 355949835264 375724826112 378628079616 399662972928 400443564672 421866471424 422690429376 436925104128 449620844544 461198721024 474599780352 475526733048 500966434816 504837439488 518848561152 532883963904 533924752896 563587239168 567942119424 599494459392 614931628032 632799707136 634035644064 674431266816 691798081536 711899670528 751449652224 757256159232 799325945856 800887129344 843732942848 845380858752 873850208256 899241689088 922397442048 949199560704 951053466096 1001932869632 1037697122304 1065767927808 1067849505792 1127174478336 1135884238848 1198988918784 1265599414272 1268071288128 1348862533632 1383596163072 1423799341056 1502899304448 1514512318464 1598651891712 1601774258688 1687465885696 1690761717504 1798483378176 1844794884096 1898399121408 1902106932192 2003865739264 2075394244608 2135699011584 2254348956672 2271768477696 2397977837568 2531198828544 2536142576256 2697725067264 2767192326144 2847598682112 3005798608896 3197303783424 3203548517376 3374931771392 3381523435008 3596966756352 3796798242816 3804213864384 4007731478528 4150788489216 4271398023168 4508697913344 4543536955392 4795955675136 5062397657088 5072285152512 5395450134528 5534384652288 5695197364224 6011597217792 6407097034752 6749863542784 6763046870016 7193933512704 7593596485632 7608427728768 8015462957056 8301576978432 8542796046336 9017395826688 9591911350272 10124795314176 10144570305024 10790900269056 11390394728448 12023194435584 12814194069504 13526093740032 14387867025408 15187192971264 15216855457536 16030925914112 16603153956864 17085592092672 18034791653376 20249590628352 20289140610048 21581800538112 22780789456896 24046388871168 25628388139008 27052187480064 28775734050816 30374385942528 30433710915072 32061851828224 34171184185344 36069583306752 40578281220096 43163601076224 45561578913792 48092777742336 51256776278016 54104374960128 60748771885056 60867421830144 64123703656448 68342368370688 72139166613504 81156562440192 86327202152448 91123157827584 96185555484672 102513552556032 108208749920256 121734843660288 128247407312896 136684736741376 144278333227008 162313124880384 182246315655168 192371110969344 205027105112064 216417499840512 243469687320576 273369473482752 288556666454016 324626249760768 384742221938688 410054210224128 432834999681024 486939374641152 546738946965504 577113332908032 649252499521536 820108420448256 865669999362048 973878749282304 1154226665816064 1298504999043072 1640216840896512 1731339998724096 1947757498564608 2597009998086144 3462679997448192 3895514997129216 5194019996172288 7791029994258432 10388039992344576 15582059988516864 31164119977033728
• Sum of all divisors σ(n): 98603378338865400
• Sum of proper divisors (its aliquot sum) s(n): 67439258361831672
• 31164119977033728 is an abundant number, because the sum of its proper divisors (67439258361831672) is greater than itself. Its abundance is 36275138384797944

Bases of 31164119977033728

• Binary: 1101110101101111001101000011100111110000000000000000000₂
• Hexadecimal: 0x6EB79A1CF80000
• Base-36: 8IURB2OLC00

Squares and roots of 31164119977033728

• 31164119977033728 squared (31164119977033728²) is 971202373942952687406169649577984
• 31164119977033728 cubed (31164119977033728³) is 30266667303538152817628795797705176083727334244352
• The square root of 31164119977033728 is 176533622.7947348505
• The cube root of 31164119977033728 is 314691.4589558977

Scales and comparisons

• 31,164,119,977,033,728 seconds is equal to 990,922,618 years, 16 weeks, 3 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 31,164,119,977,033,728 would take you about two billion, nine hundred seventy-two million, seven hundred sixty-seven thousand, eight hundred fifty-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 31164119977033728 cubic inches would be around 26224.3 feet tall.

Recreational maths with 31164119977033728

• 31164119977033728 backwards is 82733077991146113
• 31164119977033728 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 31164119977033728's digits is 72
• More coming soon!