31997628632319012864
31,997,628,632,319,012,864 is an even composite number composed of four prime numbers multiplied together.
What does the number 31997628632319012864 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 624 divisors.
31997628632319012864 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 31997628632319012864:
212 × 33 × 5572 × 9773
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 557 × 557 × 977 × 977 × 977)See below for interesting mathematical facts about the number 31997628632319012864 from the Numbermatics database.
Names of 31997628632319012864
- Cardinal: 31997628632319012864 can be written as Thirty-one quintillion, nine hundred ninety-seven quadrillion, six hundred twenty-eight trillion, six hundred thirty-two billion, three hundred nineteen million, twelve thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 3.1997628632319012864 × 1019
Factors of 31997628632319012864
Divisors of 31997628632319012864
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 557 576 768 864 977 1024 1114 1152 1536 1671 1728 1954 2048 2228 2304 2931 3072 3342 3456 3908 4096 4456 4608 5013 5862 6144 6684 6912 7816 8793 8912 9216 10026 11724 12288 13368 13824 15039 15632 17586 17824 18432 20052 23448 26379 26736 27648 30078 31264 35172 35648 36864 40104 46896 52758 53472 55296 60156 62528 70344 71296 80208 93792 105516 106944 110592 120312 125056 140688 142592 160416 187584 211032 213888 240624 250112 281376 285184 310249 320832 375168 422064 427776 481248 500224 544189 562752 570368 620498 641664 750336 844128 855552 930747 954529 962496 1000448 1088378 1125504 1140736 1240996 1283328 1500672 1632567 1688256 1711104 1861494 1909058 1924992 2000896 2176756 2251008 2281472 2481992 2566656 2792241 2863587 3001344 3265134 3376512 3422208 3722988 3818116 3849984 4001792 4353512 4502016 4897701 4963984 5133312 5584482 5727174 6002688 6530268 6753024 6844416 7445976 7636232 7699968 8376723 8590761 8707024 9004032 9795402 9927968 10266624 11168964 11454348 12005376 13060536 13506048 14693103 14891952 15272464 15399936 16753446 17181522 17414048 18008064 19590804 19855936 20533248 22337928 22908696 25772283 26121072 27012096 29386206 29783904 30544928 30799872 33506892 34363044 34828096 36016128 39181608 39711872 44675856 45817392 51544566 52242144 54024192 58772412 59567808 61089856 61599744 67013784 68726088 69656192 78363216 79423744 89351712 91634784 103089132 104484288 108048384 117544824 119135616 122179712 134027568 137452176 139312384 156726432 158847488 178703424 183269568 206178264 208968576 235089648 238271232 244359424 268055136 274904352 278624768 303113273 313452864 317694976 357406848 366539136 412356528 417937152 470179296 476542464 488718848 531672653 536110272 549808704 557249536 606226546 626905728 635389952 714813696 733078272 824713056 835874304 909339819 932574833 940358592 953084928 977437696 1063345306 1072220544 1099617408 1114499072 1212453092 1253811456 1270779904 1429627392 1466156544 1595017959 1649426112 1671748608 1818679638 1865149666 1880717184 1906169856 1954875392 2126690612 2144441088 2199234816 2228998144 2424906184 2507622912 2728019457 2797724499 2859254784 2932313088 3190035918 3298852224 3343497216 3637359276 3730299332 3761434368 3812339712 3909750784 4253381224 4288882176 4398469632 4785053877 4849812368 5015245824 5456038914 5595448998 5718509568 5864626176 6380071836 6597704448 6686994432 7274718552 7460598664 7522868736 8184058371 8393173497 8506762448 8577764352 8796939264 9570107754 9699624736 10030491648 10912077828 11190897996 11437019136 11729252352 12760143672 13195408896 14355161631 14549437104 14921197328 15045737472 16368116742 16786346994 17013524896 17155528704 17593878528 19140215508 19399249472 20060983296 21824155656 22381795992 25179520491 25520287344 26390817792 28710323262 29098874208 29842394656 30091474944 32736233484 33572693988 34027049792 34311057408 35187757056 38280431016 38798498944 43648311312 44763591984 50359040982 51040574688 52781635584 57420646524 58197748416 59684789312 60182949888 65472466968 67145387976 68054099584 76560862032 77596997888 87296622624 89527183968 100718081964 102081149376 105563271168 114841293048 116395496832 119369578624 130944933936 134290775952 136108199168 153121724064 155193995776 174593245248 179054367936 201436163928 204162298752 229682586096 232790993664 238739157248 261889867872 268581551904 272216398336 296141667721 306243448128 310387991552 349186490496 358108735872 402872327856 408324597504 459365172192 465581987328 477478314496 519444181981 523779735744 537163103808 544432796672 592283335442 612486896256 620775983104 698372980992 716217471744 805744655712 816649195008 888425003163 918730344384 931163974656 954956628992 1038888363962 1047559471488 1074326207616 1088865593344 1184566670884 1224973792512 1241551966208 1396745961984 1432434943488 1558332545943 1611489311424 1633298390016 1776850006326 1837460688768 1862327949312 1909913257984 2077776727924 2095118942976 2148652415232 2177731186688 2369133341768 2449947585024 2665275009489 2793491923968 2864869886976 3116665091886 3222978622848 3266596780032 3553700012652 3674921377536 3724655898624 3819826515968 4155553455848 4190237885952 4297304830464 4674997637829 4738266683536 4899895170048 5330550018978 5586983847936 5729739773952 6233330183772 6445957245696 6533193560064 7107400025304 7349842755072 7995825028467 8311106911696 8380475771904 8594609660928 9349995275658 9476533367072 9799790340096 10661100037956 11173967695872 11459479547904 12466660367544 12891914491392 14024992913487 14214800050608 14699685510144 15991650056934 16622213823392 16760951543808 17189219321856 18699990551316 18953066734144 19599580680192 21322200075912 24933320735088 25783828982784 28049985826974 28429600101216 29399371020288 31983300113868 33244427646784 33521903087616 34378438643712 37399981102632 37906133468288 42644400151824 49866641470176 51567657965568 56099971653948 56859200202432 58798742040576 63966600227736 66488855293568 74799962205264 75812266936576 85288800303648 99733282940352 103135315931136 112199943307896 113718400404864 127933200455472 132977710587136 149599924410528 151624533873152 170577600607296 199466565880704 224399886615792 227436800809728 255866400910944 265955421174272 289330409363417 299199848821056 303249067746304 341155201214592 398933131761408 448799773231584 454873601619456 511732801821888 531910842348544 578660818726834 598399697642112 606498135492608 682310402429184 797866263522816 867991228090251 897599546463168 909747203238912 1023465603643776 1063821684697088 1157321637453668 1196799395284224 1212996270985216 1364620804858368 1595732527045632 1735982456180502 1795199092926336 1819494406477824 2046931207287552 2127643369394176 2314643274907336 2393598790568448 2603973684270753 2729241609716736 3191465054091264 3471964912361004 3590398185852672 3638988812955648 4093862414575104 4629286549814672 4787197581136896 5207947368541506 5458483219433472 6382930108182528 6943929824722008 7180796371705344 7811921052812259 8187724829150208 9258573099629344 9574395162273792 10415894737083012 10916966438866944 13887859649444016 14361592743410688 15623842105624518 16375449658300416 18517146199258688 19148790324547584 20831789474166024 27775719298888032 28723185486821376 31247684211249036 32750899316600832 37034292398517376 41663578948332048 55551438597776064 57446370973642752 62495368422498072 74068584797034752 83327157896664096 111102877195552128 124990736844996144 148137169594069504 166654315793328192 222205754391104256 249981473689992288 296274339188139008 333308631586656384 444411508782208512 499962947379984576 592548678376278016 666617263173312768 888823017564417024 999925894759969152 1185097356752556032 1333234526346625536 1777646035128834048 1999851789519938304 2666469052693251072 3555292070257668096 3999703579039876608 5332938105386502144 7999407158079753216 10665876210773004288 15998814316159506432 31997628632319012864
- Sum of all divisors σ(n): 95064013522898263200
- Sum of proper divisors (its aliquot sum) s(n): 63066384890579250336
- 31997628632319012864 is an abundant number, because the sum of its proper divisors (63066384890579250336) is greater than itself. Its abundance is 31068756258260237472
Bases of 31997628632319012864
- Binary: 110111100000011100110100110110101110111000011111000110000000000002
- Hexadecimal: 0x1BC0E69B5DC3E3000
- Base-36: 6R3PGPCNLPMO0
Squares and roots of 31997628632319012864
- 31997628632319012864 squared (319976286323190128642) is 1023848238091801501726307213303397482496
- 31997628632319012864 cubed (319976286323190128643) is 32760715698315601534833304608010132797050504157293438828544
-
The
square root of 31997628632319012864 is 5656644644.3381091063 -
The
cube root of 31997628632319012864 is 3174723.6788418093
Scales and comparisons
How big is 31997628632319012864?- 31,997,628,632,319,012,864 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 31,997,628,632,319,012,864 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 31997628632319012864 cubic inches would be around 264560.3 feet tall.
Recreational maths with 31997628632319012864
- 31997628632319012864 backwards is 46821091323682679913
- The number of decimal digits it has is: 20
- The sum of 31997628632319012864's digits is 90
- More coming soon!
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The information we have on file for 31997628632319012864 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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