31193320628994048

Names of 31193320628994048

• Cardinal: 31193320628994048 can be written as Thirty-one quadrillion, one hundred ninety-three trillion, three hundred twenty billion, six hundred twenty-eight million, nine hundred ninety-four thousand and forty-eight.

Scientific notation

• Scientific notation: 3.1193320628994048 × 10¹⁶

Factors of 31193320628994048

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 1141

Divisors of 31193320628994048

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 378 384 392 432 441 448 504 512 576 588 672 756 768 784 864 882 896 1008 1024 1129 1152 1176 1323 1344 1512 1536 1568 1728 1764 1792 2016 2048 2258 2304 2352 2646 2688 3024 3072 3136 3387 3456 3528 3584 4032 4096 4516 4608 4704 5292 5376 6048 6144 6272 6774 6912 7056 7168 7903 8064 8192 9032 9216 9408 10161 10584 10752 12096 12288 12544 13548 13824 14112 14336 15806 16128 16384 18064 18432 18816 20322 21168 21504 23709 24192 24576 25088 27096 27648 28224 28672 30483 31612 32256 36128 36864 37632 40644 42336 43008 47418 48384 49152 50176 54192 55296 55321 56448 57344 60966 63224 64512 71127 72256 73728 75264 81288 84672 86016 94836 96768 100352 108384 110592 110642 112896 114688 121932 126448 129024 142254 144512 147456 150528 162576 165963 169344 172032 189672 193536 200704 213381 216768 221184 221284 225792 243864 252896 258048 284508 289024 301056 325152 331926 338688 344064 379344 387072 401408 426762 433536 442368 442568 451584 487728 497889 505792 516096 569016 578048 602112 650304 663852 677376 758688 774144 802816 853524 867072 885136 903168 975456 995778 1011584 1032192 1138032 1156096 1204224 1274641 1300608 1327704 1354752 1493667 1517376 1548288 1707048 1734144 1770272 1806336 1950912 1991556 2023168 2276064 2312192 2408448 2549282 2601216 2655408 2709504 2987334 3034752 3096576 3414096 3468288 3540544 3612672 3823923 3901824 3983112 4046336 4552128 4624384 5098564 5202432 5310816 5419008 5974668 6069504 6828192 6936576 7081088 7225344 7647846 7803648 7966224 8092672 8922487 9104256 9248768 10197128 10404864 10621632 10838016 11471769 11949336 12139008 13656384 13873152 14162176 15295692 15607296 15932448 16185344 17844974 18208512 18497536 20394256 20809728 21243264 21676032 22943538 23898672 24278016 26767461 27312768 27746304 28324352 30591384 31214592 31864896 32370688 34415307 35689948 36417024 40788512 41619456 42486528 45887076 47797344 48556032 53534922 54625536 55492608 56648704 61182768 62429184 62457409 63729792 64741376 68830614 71379896 72834048 80302383 81577024 83238912 84973056 91774152 95594688 97112064 107069844 109251072 113297408 122365536 124858368 124914818 127459584 129482752 137661228 142759792 145668096 160604766 163154048 166477824 169946112 183548304 187372227 191189376 194224128 214139688 218502144 226594816 240907149 244731072 249716736 249829636 254919168 275322456 285519584 291336192 321209532 326308096 339892224 367096608 374744454 382378752 388448256 428279376 437004288 453189632 481814298 489462144 499433472 499659272 509838336 550644912 562116681 571039168 582672384 642419064 652616192 679784448 734193216 749488908 764757504 856558752 874008576 906379264 963628596 978924288 999318544 1019676672 1101289824 1124233362 1142078336 1165344768 1284838128 1305232384 1359568896 1439069689 1468386432 1498977816 1529515008 1686350043 1713117504 1748017152 1927257192 1957848576 1998637088 2039353344 2202579648 2248466724 2284156672 2569676256 2610464768 2719137792 2878139378 2936772864 2997955632 3059030016 3372700086 3426235008 3496034304 3854514384 3915697152 3997274176 4078706688 4317209067 4405159296 4496933448 4568313344 5139352512 5220929536 5756278756 5873545728 5995911264 6118060032 6745400172 6852470016 7709028768 7831394304 7994548352 8157413376 8634418134 8810318592 8993866896 9136626688 10073487823 10278705024 10441859072 11512557512 11747091456 11991822528 12236120064 12951627201 13490800344 13704940032 15418057536 15662788608 15989096704 17268836268 17620637184 17987733792 18273253376 20146975646 20557410048 20883718144 23025115024 23494182912 23983645056 24472240128 25903254402 26981600688 27409880064 30220463469 30836115072 31325577216 31978193408 34537672536 35241274368 35975467584 36546506752 38854881603 40293951292 41114820096 46050230048 46988365824 47967290112 51806508804 53963201376 54819760128 60440926938 61672230144 62651154432 63956386816 69075345072 70482548736 70514414761 71950935168 73093013504 77709763206 80587902584 82229640192 90661390407 92100460096 93976731648 95934580224 103613017608 107926402752 109639520256 120881853876 123344460288 127912773632 138150690144 140965097472 141028829522 143901870336 146186027008 155419526412 161175805168 164459280384 181322780814 184200920192 187953463296 191869160448 207226035216 211543244283 215852805504 219279040512 241763707752 246688920576 255825547264 271984171221 276301380288 281930194944 282057659044 287803740672 310839052824 322351610336 328918560768 362645561628 368401840384 383738320896 414452070432 423086488566 431705611008 438558081024 483527415504 493377841152 511651094528 543968342442 552602760576 563860389888 564115318088 575607481344 621678105648 634629732849 644703220672 657837121536 725291123256 736803680768 767476641792 828904140864 846172977132 863411222016 967054831008 986755682304 1023302189056 1087936684884 1105205521152 1128230636176 1151214962688 1243356211296 1269259465698 1289406441344 1315674243072 1450582246512 1473607361536 1534953283584 1657808281728 1692345954264 1726822444032 1903889198547 1934109662016 1973511364608 2175873369768 2210411042304 2256461272352 2302429925376 2486712422592 2538518931396 2578812882688 2901164493024 2947214723072 3069906567168 3315616563456 3384691908528 3453644888064 3807778397094 3868219324032 3947022729216 4351746739536 4420822084608 4512922544704 4604859850752 4973424845184 5077037862792 5157625765376 5802328986048 5894429446144 6631233126912 6769383817056 6907289776128 7615556794188 7736438648064 8703493479072 8841644169216 9025845089408 9209719701504 9946849690368 10154075725584 10315251530752 11604657972096 11788858892288 13262466253824 13538767634112 13814579552256 15231113588376 15472877296128 17406986958144 17683288338432 18051690178816 19893699380736 20308151451168 20630503061504 23209315944192 23577717784576 26524932507648 27077535268224 27629159104512 30462227176752 30945754592256 34813973916288 35366576676864 36103380357632 39787398761472 40616302902336 41261006123008 46418631888384 53049865015296 54155070536448 60924454353504 61891509184512 69627947832576 70733153353728 72206760715264 79574797522944 81232605804672 82522012246016 92837263776768 106099730030592 108310141072896 121848908707008 123783018369024 139255895665152 144413521430528 159149595045888 162465211609344 165044024492032 185674527553536 212199460061184 216620282145792 243697817414016 247566036738048 278511791330304 288827042861056 318299190091776 324930423218688 371349055107072 433240564291584 487395634828032 495132073476096 557023582660608 577654085722112 636598380183552 649860846437376 742698110214144 866481128583168 974791269656064 1114047165321216 1155308171444224 1299721692874752 1485396220428288 1732962257166336 1949582539312128 2228094330642432 2599443385749504 3465924514332672 3899165078624256 4456188661284864 5198886771499008 7798330157248512 10397773542998016 15596660314497024 31193320628994048
• Sum of all divisors σ(n): 107606423288229600
• Sum of proper divisors (its aliquot sum) s(n): 76413102659235552
• 31193320628994048 is an abundant number, because the sum of its proper divisors (76413102659235552) is greater than itself. Its abundance is 45219782030241504

Bases of 31193320628994048

• Binary: 1101110110100100010100011101011011101001100000000000000₂
• Hexadecimal: 0x6ED228EB74C000
• Base-36: 8J53XO2TXC0

Squares and roots of 31193320628994048

• 31193320628994048 squared (31193320628994048²) is 973023251863225630352232419426304
• 31193320628994048 cubed (31193320628994048³) is 30351826274836027307352730146141252421064790638592
• The square root of 31193320628994048 is 176616309.0685400095
• The cube root of 31193320628994048 is 314789.7164732843

Scales and comparisons

• 31,193,320,628,994,048 seconds is equal to 991,851,108 years, 37 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 31,193,320,628,994,048 would take you about two billion, nine hundred seventy-five million, five hundred fifty-three thousand, three hundred twenty-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 31193320628994048 cubic inches would be around 26232.5 feet tall.

Recreational maths with 31193320628994048

• 31193320628994048 backwards is 84049982602339113
• 31193320628994048 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 31193320628994048's digits is 72
• More coming soon!