40772087132894208
40,772,087,132,894,208 is an even composite number composed of six prime numbers multiplied together.
What does the number 40772087132894208 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
40772087132894208 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 40772087132894208:
210 × 33 × 72 × 13 × 73 × 31712971
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 73 × 31712971)See below for interesting mathematical facts about the number 40772087132894208 from the Numbermatics database.
Names of 40772087132894208
- Cardinal: 40772087132894208 can be written as Forty quadrillion, seven hundred seventy-two trillion, eighty-seven billion, one hundred thirty-two million, eight hundred ninety-four thousand, two hundred eight.
Scientific notation
- Scientific notation: 4.0772087132894208 × 1016
Factors of 40772087132894208
Divisors of 40772087132894208
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 73 78 84 91 96 98 104 108 112 117 126 128 144 146 147 156 168 182 189 192 196 208 216 219 224 234 252 256 273 288 292 294 312 336 351 364 378 384 392 416 432 438 441 448 468 504 511 512 546 576 584 588 624 637 657 672 702 728 756 768 784 819 832 864 876 882 896 936 949 1008 1022 1024 1092 1152 1168 1176 1248 1274 1314 1323 1344 1404 1456 1512 1533 1536 1568 1638 1664 1728 1752 1764 1792 1872 1898 1911 1971 2016 2044 2184 2304 2336 2352 2457 2496 2548 2628 2646 2688 2808 2847 2912 3024 3066 3072 3136 3276 3328 3456 3504 3528 3577 3584 3744 3796 3822 3942 4032 4088 4368 4599 4608 4672 4704 4914 4992 5096 5256 5292 5376 5616 5694 5733 5824 6048 6132 6272 6552 6643 6656 6912 7008 7056 7154 7168 7488 7592 7644 7884 8064 8176 8541 8736 9198 9216 9344 9408 9828 9984 10192 10512 10584 10731 10752 11232 11388 11466 11648 12096 12264 12544 13104 13286 13312 13797 13824 14016 14112 14308 14976 15184 15288 15768 16128 16352 17082 17199 17472 18396 18688 18816 19656 19929 19968 20384 21024 21168 21462 21504 22464 22776 22932 23296 24192 24528 25088 25623 26208 26572 27594 27648 28032 28224 28616 29952 30368 30576 31536 32193 32256 32704 34164 34398 34944 36792 37376 37632 39312 39858 39936 40768 42048 42336 42924 44928 45552 45864 46501 46592 48384 49056 50176 51246 52416 53144 55188 56064 56448 57232 59787 59904 60736 61152 63072 64386 64512 65408 68328 68796 69888 73584 74752 75264 78624 79716 81536 84096 84672 85848 89856 91104 91728 93002 93184 96579 96768 98112 102492 104832 106288 110376 112128 112896 114464 119574 119808 121472 122304 126144 128772 130816 136656 137592 139503 139776 147168 150528 157248 159432 163072 168192 169344 171696 179361 179712 182208 183456 186004 193158 193536 196224 204984 209664 212576 220752 224256 225792 228928 239148 242944 244608 252288 257544 261632 273312 275184 279006 279552 294336 314496 318864 326144 336384 338688 343392 358722 359424 364416 366912 372008 386316 392448 409968 418509 419328 425152 441504 451584 457856 478296 485888 489216 504576 515088 523264 546624 550368 558012 588672 628992 637728 652288 672768 677376 686784 717444 728832 733824 744016 772632 784896 819936 837018 838656 850304 883008 915712 956592 971776 978432 1009152 1030176 1093248 1100736 1116024 1177344 1255527 1257984 1275456 1354752 1373568 1434888 1457664 1467648 1488032 1545264 1569792 1639872 1674036 1700608 1766016 1831424 1913184 1956864 2018304 2060352 2186496 2201472 2232048 2354688 2511054 2515968 2550912 2747136 2869776 2915328 2935296 2976064 3090528 3279744 3348072 3401216 3532032 3662848 3826368 4120704 4372992 4402944 4464096 4709376 5022108 5101824 5494272 5739552 5870592 5952128 6181056 6559488 6696144 6802432 7064064 7652736 8241408 8745984 8805888 8928192 10044216 10203648 10988544 11479104 11904256 12362112 13118976 13392288 14128128 15305472 16482816 17611776 17856384 20088432 20407296 22958208 23808512 24724224 26237952 26784576 30610944 31712971 32965632 35712768 40176864 45916416 47617024 49448448 53569152 61221888 63425942 71425536 80353728 91832832 95138913 98896896 107138304 126851884 142851072 160707456 183665664 190277826 214276608 221990797 253703768 285416739 321414912 380555652 412268623 428553216 443981594 507407536 570833478 642829824 665972391 761111304 824537246 856250217 887963188 1014815072 1141666956 1236805869 1285659648 1331944782 1522222608 1553935579 1649074492 1712500434 1775926376 1997917173 2029630144 2283333912 2315046883 2473611738 2663889564 2885880361 3044445216 3107871158 3298148984 3425000868 3551852752 3710417607 3995834346 4059260288 4566667824 4630093766 4661806737 4947223476 5327779128 5771760722 5993751519 6088890432 6215742316 6596297968 6850001736 6945140649 7103705504 7420835214 7991668692 8118520576 8657641083 9133335648 9260187532 9323613474 9894446952 10655558256 11131252821 11543521444 11987503038 12177780864 12431484632 13192595936 13700003472 13890281298 13985420211 14207411008 14841670428 15983337384 16205328181 16237041152 17315282166 18266671296 18520375064 18647226948 19788893904 20201162527 20835421947 21311116512 22262505642 23087042888 23975006076 24355561728 24862969264 25972923249 26385191872 27400006944 27780562596 27970840422 28414822016 29683340856 30095609479 31966674768 32410656362 32474082304 34630564332 36533342592 37040750128 37294453896 39577787808 40402325054 41670843894 41956260633 42622233024 44525011284 46174085776 47950012152 48615984543 48711123456 49725938528 51945846498 52770383744 54800013888 55561125192 55941680844 56829644032 59366681712 60191218958 60603487581 62506265841 63933349536 64821312724 69261128664 73066685184 74081500256 74588907792 77918769747 79155575616 80804650108 83341687788 83912521266 85244466048 89050022568 90286828437 92348171552 95900024304 97231969086 97422246912 99451877056 103891692996 105540767488 109600027776 111122250384 111883361688 113437297267 113659288064 118733363424 120382437916 121206975162 125012531682 127866699072 129642625448 138522257328 145847953629 146133370368 148163000512 149177815584 155837539494 158311151232 161609300216 166683375576 167825042532 170488932096 178100045136 180573656874 181810462743 184696343104 191800048608 194463938172 198903754112 207783385992 210669266353 211081534976 219200055552 222244500768 223766723376 226874594534 227318576128 237466726848 240764875832 242413950324 250025063364 255733398144 259285250896 270860485311 277044514656 291695907258 292266740736 296326001024 298355631168 311675078988 316622302464 323218600432 333366751152 335650085064 340311891801 340977864192 356200090272 361147313748 363620925486 369392686208 383600097216 388927876344 397807508224 415566771984 421338532706 422163069952 437543860887 438400111104 444489001536 447533446752 453749189068 474933453696 481529751664 484827900648 500050126728 511466796288 518570501792 541720970622 545431388229 554089029312 583391814516 592652002048 596711262336 623350157976 632007799059 633244604928 646437200864 666733502304 671300170128 680623783602 681955728384 712400180544 722294627496 727241850972 738785372416 767200194432 777855752688 795615016448 812581455933 831133543968 842677065412 875087721774 876800222208 888978003072 895066893504 907498378136 949866907392 963059503328 969655801296 1000100253456 1020935675403 1022933592576 1037141003584 1083441941244 1090862776458 1108178058624 1166783629032 1185304004096 1193422524672 1246700315952 1264015598118 1266489209856 1292874401728 1333467004608 1342600340256 1361247567204 1424800361088 1444589254992 1454483701944 1474684864471 1477570744832 1534400388864 1555711505376 1591230032896 1625162911866 1662267087936 1685354130824 1750175443548 1777956006144 1790133787008 1814996756272 1896023397177 1899733814784 1926119006656 1939311602592 2000200506912 2041871350806 2045867185152 2074282007168 2166883882488 2181725552916 2216356117248 2333567258064 2370608008192 2386845049344 2493400631904 2528031196236 2585748803456 2666934009216 2685200680512 2722495134408 2849600722176 2889178509984 2908967403888 2949369728942 2955141489664 3062807026209 3068800777728 3111423010752 3250325823732 3324534175872 3370708261648 3500350887096 3555912012288 3580267574016 3629993512544 3792046794354 3799467629568 3852238013312 3878623205184 4000401013824 4083742701612 4148564014336 4333767764976 4363451105832 4424054593413 4432712234496 4667134516128 4773690098688 4986801263808 5056062392472 5171497606912 5333868018432 5370401361024 5444990268816 5688070191531 5699201444352 5778357019968 5817934807776 5898739457884 6125614052418 6137601555456 6222846021504 6500651647464 6649068351744 6741416523296 7000701774192 7111824024576 7160535148032 7259987025088 7584093588708 7704476026624 7757246410368 8000802027648 8167485403224 8297128028672 8667535529952 8726902211664 8848109186826 8865424468992 9334269032256 9973602527616 10112124784944 10342995213824 10667736036864 10740802722048 10889980537632 11376140383062 11398402888704 11556714039936 11635869615552 11797478915768 12251228104836 12445692043008 13001303294928 13272163780239 13298136703488 13482833046592 14001403548384 14321070296064 14519974050176 15168187177416 15408952053248 15514492820736 16001604055296 16334970806448 16594256057344 17335071059904 17453804423328 17696218373652 18668538064512 19947205055232 20224249569888 20685990427648 21335472073728 21481605444096 21779961075264 22752280766124 23113428079872 23271739231104 23594957831536 24502456209672 24891384086016 26002606589856 26544327560478 26596273406976 26965666093184 28002807096768 29039948100352 30336374354832 30817904106496 31028985641472 32003208110592 32669941612896 34670142119808 34907608846656 35392436747304 37337076129024 39816491340717 39894410110464 40448499139776 42963210888192 43559922150528 45504561532248 46226856159744 46543478462208 47189915663072 49004912419344 49782768172032 52005213179712 53088655120956 53931332186368 56005614193536 58079896200704 60672748709664 62057971282944 64006416221184 65339883225792 69340284239616 69815217693312 70784873494608 74674152258048 79632982681434 79788820220928 80896998279552 87119844301056 91009123064496 92453712319488 93086956924416 94379831326144 98009824838688 104010426359424 106177310241912 107862664372736 112011228387072 116159792401408 121345497419328 130679766451584 138680568479232 139630435386624 141569746989216 149348304516096 159265965362868 161793996559104 174239688602112 182018246128992 186173913848832 188759662652288 196019649677376 208020852718848 212354620483824 215725328745472 224022456774144 242690994838656 261359532903168 277361136958464 279260870773248 283139493978432 318531930725736 323587993118208 348479377204224 364036492257984 377519325304576 392039299354752 416041705437696 424709240967648 448044913548288 485381989677312 522719065806336 558521741546496 566278987956864 637063861451472 647175986236416 728072984515968 755038650609152 784078598709504 832083410875392 849418481935296 970763979354624 1045438131612672 1132557975913728 1274127722902944 1456145969031936 1510077301218304 1568157197419008 1698836963870592 1941527958709248 2265115951827456 2548255445805888 2912291938063872 3136314394838016 3397673927741184 4530231903654912 5096510891611776 5824583876127744 6795347855482368 10193021783223552 13590695710964736 20386043566447104 40772087132894208
- Sum of all divisors σ(n): 153337856917902720
- Sum of proper divisors (its aliquot sum) s(n): 112565769785008512
- 40772087132894208 is an abundant number, because the sum of its proper divisors (112565769785008512) is greater than itself. Its abundance is 71793682652114304
Bases of 40772087132894208
- Binary: 100100001101100111111111010010100100111010110100000000002
- Hexadecimal: 0x90D9FF4A4EB400
- Base-36: B5GHY92TXC0
Squares and roots of 40772087132894208
- 40772087132894208 squared (407720871328942082) is 1662363089172317438405062519947264
- 40772087132894208 cubed (407720871328942083) is 67778012718240910734256851805158649998843851046912
-
The
square root of 40772087132894208 is 201920992.3036587299 -
The
cube root of 40772087132894208 is 344181.5989876591
Scales and comparisons
How big is 40772087132894208?- 40,772,087,132,894,208 seconds is equal to 1,296,426,254 years, 24 weeks, 6 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 40,772,087,132,894,208 would take you about three billion, eight hundred eighty-nine million, two hundred seventy-eight thousand, seven hundred sixty-three 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 40772087132894208 cubic inches would be around 28681.8 feet tall.
Recreational maths with 40772087132894208
- 40772087132894208 backwards is 80249823178027704
- 40772087132894208 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40772087132894208's digits is 72
- More coming soon!
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"Number 40772087132894208 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 40772087132894208 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/40772087132894208/
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The information we have on file for 40772087132894208 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!
Keywords: Divisors of 40772087132894208, math, Factors of 40772087132894208, curriculum, school, college, exams, university, Prime factorization of 40772087132894208, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, seven hundred seventy-two trillion, eighty-seven billion, one hundred thirty-two million, eight hundred ninety-four thousand, two hundred eight.