3972493876659376640
3,972,493,876,659,376,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 3972493876659376640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
3972493876659376640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 3972493876659376640:
29 × 5 × 112 × 132 × 73 × 10133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 13 × 73 × 1013 × 1013 × 1013)See below for interesting mathematical facts about the number 3972493876659376640 from the Numbermatics database.
Names of 3972493876659376640
- Cardinal: 3972493876659376640 can be written as Three quintillion, nine hundred seventy-two quadrillion, four hundred ninety-three trillion, eight hundred seventy-six billion, six hundred fifty-nine million, three hundred seventy-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.97249387665937664 × 1018
Factors of 3972493876659376640
Divisors of 3972493876659376640
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 73 80 88 104 110 121 128 130 143 146 160 169 176 208 220 242 256 260 286 292 320 338 352 365 416 440 484 512 520 572 584 605 640 676 704 715 730 803 832 845 880 949 968 1013 1040 1144 1168 1210 1280 1352 1408 1430 1460 1573 1606 1664 1690 1760 1859 1898 1936 2026 2080 2288 2336 2420 2560 2704 2816 2860 2920 3146 3212 3328 3380 3520 3718 3796 3872 4015 4052 4160 4576 4672 4745 4840 5065 5408 5632 5720 5840 6292 6424 6656 6760 7040 7436 7592 7744 7865 8030 8104 8320 8833 9152 9295 9344 9490 9680 10130 10439 10816 11143 11440 11680 12337 12584 12848 13169 13520 14080 14872 15184 15488 15730 16060 16208 16640 17666 18304 18590 18688 18980 19360 20260 20449 20878 21632 22286 22880 23360 24674 25168 25696 26338 27040 28160 29744 30368 30976 31460 32120 32416 33280 35332 36608 37180 37376 37960 38720 40520 40898 41756 43264 44165 44572 45760 46720 49348 50336 51392 52195 52676 54080 55715 59488 60736 61685 61952 62920 64240 64832 65845 70664 73216 73949 74360 75920 77440 81040 81796 83512 86528 88330 89144 91520 93440 98696 100672 102245 102784 104390 105352 108160 111430 114829 118976 121472 122573 123370 125840 128480 129664 131690 135707 141328 144859 147898 148720 151840 154880 162080 163592 167024 171197 176660 178288 183040 186880 197392 201344 204490 205568 208780 210704 216320 222860 229658 237952 242944 245146 246740 251680 256960 259328 263380 271414 282656 289718 295796 297440 303680 309760 324160 327184 334048 342394 353320 356576 366080 369745 394784 402688 408980 411136 417560 421408 432640 445720 459316 475904 485888 490292 493480 503360 513920 518656 526760 542828 565312 574145 579436 591592 594880 607360 612865 648320 654368 668096 678535 684788 706640 713152 724295 739490 789568 805376 813439 817960 835120 842816 855985 891440 918632 951808 961337 980584 986960 1006720 1026169 1027840 1053520 1085656 1130624 1148290 1158872 1183184 1189760 1214720 1225730 1296640 1308736 1336192 1357070 1369576 1413280 1426304 1448590 1478980 1492777 1579136 1593449 1626878 1635920 1670240 1685632 1711970 1782880 1837264 1883167 1922674 1961168 1973920 2013440 2052338 2055680 2107040 2171312 2261248 2296580 2317744 2366368 2379520 2429440 2451460 2593280 2617472 2672384 2714140 2739152 2826560 2852608 2897180 2957960 2985554 3158272 3186898 3253756 3271840 3340480 3371264 3423940 3565760 3674528 3766334 3845348 3922336 3947840 4026880 4067195 4104676 4214080 4342624 4522496 4593160 4635488 4732736 4759040 4806685 4902920 5130845 5234944 5344768 5428280 5478304 5653120 5705216 5794360 5915920 5971108 6316544 6373796 6507512 6543680 6680960 6742528 6847880 7131520 7349056 7463885 7532668 7690696 7844672 7895680 7967245 8134390 8209352 8428160 8685248 8947829 9186320 9270976 9415835 9465472 9613370 9805840 10261690 10469888 10574707 10856560 10956608 11287859 11306240 11588720 11831840 11942216 12497381 12747592 13015024 13087360 13340197 13361920 13695760 14263040 14698112 14927770 15065336 15381392 15689344 15791360 15934490 16268780 16418704 16856320 17370496 17895658 18372640 18541952 18831670 18930944 19226740 19611680 20523380 20714837 21149414 21713120 21913216 22575718 22612480 23177440 23663680 23884432 24994762 25495184 26030048 26174720 26680394 26723840 27391520 28526080 29396224 29855540 30130672 30762784 31378688 31582720 31868980 32537560 32837408 33712640 34740992 35791316 36745280 37083904 37663340 37861888 38453480 39223360 41046760 41429674 42298828 43426240 43826432 44739145 45151436 46354880 47327360 47768864 49989524 50990368 52060096 52349440 52873535 53360788 54783040 56439295 58792448 59711080 60261344 61525568 62486905 62757376 63737960 65075120 65674816 66700985 69481984 71582632 73490560 74167808 74910337 75326680 76906960 78446720 82093520 82859348 84597656 86852480 87652864 89478290 90302872 92709760 94654720 95537728 99979048 101980736 103574185 104120192 105747070 106721576 109566080 112878590 116321777 119422160 120522688 123051136 124166449 124973810 127475920 130150240 131349632 133401970 137471191 143165264 146742167 146981120 149820674 150653360 153813920 156893440 164187040 165718696 169195312 173422561 173704960 178956580 180605744 185419520 189309440 191075456 199958096 203961472 207148370 208240384 211494140 213443152 219132160 225757180 232643554 238844320 241045376 246102272 248332898 249947620 254951840 260300480 262699264 266803940 274942382 286330528 293484334 293962240 299641348 301306720 307627840 313786880 328374080 331437392 338390624 346845122 347409920 357913160 361211488 370839040 374551685 382150912 399916192 407922944 414296740 416480768 422988280 426886304 438264320 451514360 465287108 477688640 482090752 492204544 496665796 499895240 509903680 520600960 525398528 533607880 549884764 572661056 581608885 586968668 599282696 602613440 615255680 620832245 656748160 662874784 676781248 687355955 693690244 715826320 722422976 733710835 749103370 764301824 799832384 815845888 824013707 828593480 845976560 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39459769118120 40249796107840 42513847138906 43405746029932 44562661274560 44973325899008 45909923685505 47567940854720 48565869683840 49018927402016 51297699853556 52324734940192 53422456652224 53719372495360 54257182537415 56216657373760 60330987571712 61273659252520 61838323111136 63135630588992 64122124816945 64399673772544 65405918675240 66778070815280 71300258039296 73455877896808 75413734464640 76108705367552 77297903888920 78919538236240 80499592215680 85027694277812 86811492059864 89125322549120 89946651798016 91819847371010 95135881709440 97131739367680 98037854804032 102595399707112 104649469880384 106284617847265 106844913304448 108514365074830 112433314747520 119365801582313 122547318505040 123676646222272 126271261177984 128244249633890 130811837350480 133556141630560 141068674597279 146911755793616 150827468929280 154595807777840 157839076472480 160999184431360 170055388555624 173622984119728 178250645098240 183639694742020 190271763418880 194263478735360 196075709608064 205190799414224 209298939760768 212569235694530 213689826608896 217028730149660 224866629495040 238731603164626 245094637010080 247353292444544 252542522355968 256488499267780 261623674700960 267112283261120 282137349194558 293823511587232 301654937858560 309191615555680 315678152944960 321998368862720 340110777111248 347245968239456 356501290196480 367279389484040 380543526837760 392151419216128 410381598828448 418597879521536 425138471389060 427379653217792 434057460299320 449733258990080 477463206329252 490189274020160 494706584889088 505085044711936 512976998535560 523247349401920 534224566522240 564274698389116 587647023174464 596829007911565 618383231111360 631356305889920 680221554222496 694491936478912 705343372986395 734558778968080 784302838432256 820763197656896 837195759043072 850276942778120 868114920598640 954926412658504 980378548040320 989413169778176 1025953997071120 1046494698803840 1068449133044480 1128549396778232 1175294046348928 1193658015823130 1236766462222720 1262712611779840 1360443108444992 1388983872957824 1410686745972790 1469117557936160 1551755420570069 1641526395313792 1700553885556240 1736229841197280 1909852825317008 1960757096080640 2051907994142240 2092989397607680 2136898266088960 2257098793556464 2350588092697856 2387316031646260 2473532924445440 2525425223559680 2720886216889984 2777967745915648 2821373491945580 2938235115872320 3103510841140138 3283052790627584 3401107771112480 3472459682394560 3819705650634016 3921514192161280 4103815988284480 4185978795215360 4514197587112928 4701176185395712 4774632063292520 4947065848890880 5441772433779968 5555935491831296 5642746983891160 5876470231744640 6207021682280276 6566105581255168 6802215542224960 6944919364789120 7639411301268032 7758777102850345 8207631976568960 9028395174225856 9549264126585040 10883544867559936 11285493967782320 11752940463489280 12414043364560552 13604431084449920 13889838729578240 15278822602536064 15517554205700690 16415263953137920 18056790348451712 19098528253170080 22570987935564640 23505880926978560 24828086729121104 27208862168899840 27779677459156480 30557645205072128 31035108411401380 32830527906275840 36113580696903424 38197056506340160 45141975871129280 49656173458242208 54417724337799680 61115290410144256 62070216822802760 72227161393806848 76394113012680320 90283951742258560 99312346916484416 124140433645605520 152788226025360640 180567903484517120 198624693832968832 248280867291211040 305576452050721280 361135806969034240 397249387665937664 496561734582422080 794498775331875328 993123469164844160 1986246938329688320 3972493876659376640
- Sum of all divisors σ(n): 11503198218950277840
- Sum of proper divisors (its aliquot sum) s(n): 7530704342290901200
- 3972493876659376640 is an abundant number, because the sum of its proper divisors (7530704342290901200) is greater than itself. Its abundance is 3558210465631524560
Bases of 3972493876659376640
- Binary: 110111001000010010001000100010001101101011001001010010000000002
- Hexadecimal: 0x3721222236B25200
- Base-36: U6IRJXDEK6WW
Squares and roots of 3972493876659376640
- 3972493876659376640 squared (39724938766593766402) is 15780707600096242705189690833377689600
- 3972493876659376640 cubed (39724938766593766403) is 62688764310734411111149644445498697235380270419410944000
-
The
square root of 3972493876659376640 is 1993111606.6741913989 -
The
cube root of 3972493876659376640 is 1583754.0755406025
Scales and comparisons
How big is 3972493876659376640?- 3,972,493,876,659,376,640 seconds is equal to 126,313,017,547 years, 21 weeks, 6 days, 7 hours, 17 minutes, 20 seconds.
-
To count from 1 to 3,972,493,876,659,376,640 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 3972493876659376640 cubic inches would be around 131979.5 feet tall.
Recreational maths with 3972493876659376640
- 3972493876659376640 backwards is 0466739566783942793
- 3972493876659376640 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3972493876659376640's digits is 104
- More coming soon!
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"Number 3972493876659376640 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 3972493876659376640 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/3972493876659376640/
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Numbermatics. 2024. "Number 3972493876659376640 - Facts about the integer". https://numbermatics.com/n/3972493876659376640/
The information we have on file for 3972493876659376640 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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