8142138068397359104
8,142,138,068,397,359,104 is an even composite number composed of five prime numbers multiplied together.
8142138068397359104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 8142138068397359104:
215 × 13 × 412 × 893 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 41 × 41 × 89 × 89 × 89 × 127 × 127)See below for interesting mathematical facts about the number 8142138068397359104 from the Numbermatics database.
Names of 8142138068397359104
- Cardinal: 8142138068397359104 can be written as Eight quintillion, one hundred forty-two quadrillion, one hundred thirty-eight trillion, sixty-eight billion, three hundred ninety-seven million, three hundred fifty-nine thousand, one hundred four.
Scientific notation
- Scientific notation: 8.142138068397359104 × 1018
Factors of 8142138068397359104
Divisors of 8142138068397359104
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 8 13 16 26 32 41 52 64 82 89 104 127 128 164 178 208 254 256 328 356 416 508 512 533 656 712 832 1016 1024 1066 1157 1312 1424 1651 1664 1681 2032 2048 2132 2314 2624 2848 3302 3328 3362 3649 4064 4096 4264 4628 5207 5248 5696 6604 6656 6724 7298 7921 8128 8192 8528 9256 10414 10496 11303 11392 13208 13312 13448 14596 15842 16129 16256 16384 17056 18512 20828 20992 21853 22606 22784 26416 26624 26896 29192 31684 32258 32512 32768 34112 37024 41656 41984 43706 45212 45568 47437 52832 53248 53792 58384 63368 64516 65024 67691 68224 74048 83312 83968 87412 90424 91136 94874 102973 105664 106496 107584 116768 126736 129032 130048 135382 136448 146939 148096 149609 166624 167936 174824 180848 182272 189748 205946 209677 211328 212992 213487 215168 233536 253472 258064 260096 270764 272896 293878 296192 299218 324761 333248 335872 349648 361696 364544 379496 411892 419354 422656 425984 426974 430336 463423 467072 506944 516128 520192 541528 545792 587756 592384 598436 649522 661289 666496 671744 699296 704969 723392 729088 758992 823784 838708 845312 853948 860672 926846 934144 1005967 1013888 1032256 1040384 1083056 1091584 1175512 1184768 1196872 1299044 1322578 1332992 1343488 1398592 1409938 1435481 1446784 1458176 1517984 1647568 1677416 1690624 1707896 1721344 1853692 1868288 1944917 2011934 2027776 2064512 2080768 2166112 2183168 2351024 2369536 2393744 2598088 2645156 2665984 2775331 2797184 2819876 2870962 2893568 2916352 3035968 3295136 3354832 3381248 3415792 3442688 3707384 3736576 3889834 4023868 4055552 4129024 4161536 4221893 4332224 4366336 4702048 4739072 4787488 5196176 5290312 5331968 5550662 5594368 5639752 5741924 5787136 6024499 6071936 6590272 6709664 6762496 6831584 6885376 7414768 7473152 7779668 8047736 8111104 8258048 8443786 8596757 8664448 8732672 9164597 9404096 9478144 9574976 10392352 10580624 10663936 11101324 11188736 11279504 11483848 11574272 12048998 12143872 13077571 13180544 13315201 13419328 13524992 13663168 13770752 14829536 14946304 15559336 16095472 16222208 16516096 16887572 17193514 17328896 17465344 18329194 18661253 18808192 18956288 19000343 19149952 20784704 21161248 21327872 22202648 22377472 22559008 22967696 23148544 24097996 24287744 26155142 26361088 26630402 26838656 27049984 27112849 27326336 27541504 28903729 29659072 29892608 31118672 32190944 32444416 33032192 33775144 34387028 34657792 36658388 37322506 37616384 37912576 38000686 38299904 41244647 41569408 42322496 42655744 44405296 44754944 45118016 45935392 46297088 48195992 48575488 52310284 52722176 53260804 53677312 54099968 54225698 54652672 55083008 57807458 58854721 59318144 59785216 62237344 64381888 64888832 66064384 67550288 68774056 69315584 73316776 74645012 75232768 76001372 76599808 82489294 83138816 84644992 85311488 88810592 89509888 89531063 90236032 91870784 92594176 96391984 97150976 104620568 105444352 106521608 107354624 108451396 109305344 115614916 117709442 118636288 119570432 124474688 127757809 128763776 129777664 132128768 135100576 137548112 138631168 146633552 149290024 150465536 152002744 153199616 164978588 166277632 169289984 170622976 173097613 177621184 179019776 179062126 180472064 183741568 185188352 192783968 194301952 209241136 210888704 213043216 214709248 216902792 218610688 231229832 235418884 237272576 247004459 248949376 255515618 257527552 259555328 264257536 270201152 275096224 277262336 293267104 298580048 300931072 304005488 306399232 329957176 332555264 338579968 346195226 352467037 355242368 358039552 358124252 360944128 367483136 370376704 375748477 385567936 388603904 418482272 421777408 426086432 429418496 433805584 437221376 462459664 470837768 474545152 494008918 497898752 511031236 515055104 528515072 536180411 540402304 550192448 554524672 586534208 597160096 601862144 608010976 612798464 659914352 665110528 677159936 692390452 704934074 710484736 716079104 716248504 721888256 734966272 751496954 765111373 771135872 777207808 836964544 843554816 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482137874432 492982001824 501913060688 505865132032 523295985664 544759297576 549048740864 591263140052 595918755328 602006867612 606747079168 611491938304 617739151616 622603239424 670472981632 675752296448 703468699232 709007822848 721852491776 727708480064 733438468096 763520905264 769532880896 783474045952 850355976704 859043507716 865807629824 888433836032 932376490082 939718037248 947117391872 964275748864 985964003648 1003826121376 1011730264064 1046591971328 1089518595152 1098097481728 1182526280104 1191837510656 1204013735224 1213494158336 1235478303232 1340945963264 1351504592896 1406937398464 1418015645696 1443704983552 1455416960128 1466876936192 1527041810528 1539065761792 1566948091904 1700711953408 1718087015432 1731615259648 1864752980164 1879436074496 1928551497728 1956522319739 1971928007296 2007652242752 2023460528128 2093183942656 2179037190304 2196194963456 2365052560208 2383675021312 2408027470448 2426988316672 2470956606464 2681891926528 2791891400077 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18920420481664 19069400170496 19113718046681 19264219763584 19415906533376 19767652851712 21455135412224 22335131200616 22510998375424 23286671362048 24241788742132 24432668968448 25071169470464 27211391254528 27489392246912 27705844154368 29836047682624 30070977191936 31304357115824 31550848116736 32122435884032 34864595044864 37840840963328 38138800340992 38227436093362 38528439527168 38831813066752 39535305703424 42910270824448 44670262401232 45021996750848 46573342724096 48483577484264 48865337936896 54422782509056 54978784493824 55411688308736 59672095365248 60141954383872 62608714231648 63101696233472 64244871768064 69729190089728 75681681926656 76454872186724 77056879054336 79070611406848 85820541648896 89340524802464 90043993501696 93146685448192 96967154968528 97730675873792 109957568987648 119344190730496 120283908767744 125217428463296 126203392466944 128489743536128 139458380179456 151363363853312 152909744373448 154113758108672 171641083297792 178681049604928 180087987003392 186293370896384 193934309937056 195461351747584 219915137975296 238688381460992 248478334606853 250434856926592 252406784933888 256979487072256 278916760358912 302726727706624 305819488746896 308227516217344 357362099209856 360175974006784 372586741792768 387868619874112 390922703495168 439830275950592 477376762921984 496956669213706 500869713853184 504813569867776 513958974144512 557833520717824 605453455413248 611638977493792 616455032434688 714724198419712 720351948013568 775737239748224 781845406990336 879660551901184 954753525843968 993913338427412 1001739427706368 1027917948289024 1115667041435648 1210906910826496 1223277954987584 1232910064869376 1429448396839424 1551474479496448 1563690813980672 1759321103802368 1909507051687936 1987826676854824 2003478855412736 2231334082871296 2421813821652992 2446555909975168 2465820129738752 2858896793678848 3102948958992896 3518642207604736 3819014103375872 3975653353709648 4006957710825472 4843627643305984 4893111819950336 4931640259477504 5717793587357696 6205897917985792 7037284415209472 7638028206751744 7951306707419296 8013915421650944 9786223639900672 11435587174715392 12411795835971584 15276056413503488 15902613414838592 16027830843301888 19572447279801344 22871174349430784 24823591671943168 31805226829677184 32055661686603776 39144894559602688 45742348698861568 49647183343886336 63610453659354368 64111323373207552 78289789119205376 91484697397723136 99294366687772672 127220907318708736 156579578238410752 198588733375545344 254441814637417472 313159156476821504 508883629274834944 626318312953643008 1017767258549669888 2035534517099339776 4071069034198679552 8142138068397359104
- Sum of all divisors σ(n): 18323328603090382200
- Sum of proper divisors (its aliquot sum) s(n): 10181190534693023096
- 8142138068397359104 is an abundant number, because the sum of its proper divisors (10181190534693023096) is greater than itself. Its abundance is 2039052466295663992
Bases of 8142138068397359104
- Binary: 1110000111111101010111101101111001011110000001010000000000000002
- Hexadecimal: 0x70FEAF6F2F028000
- Base-36: 1PUYR275WMSXS
Squares and roots of 8142138068397359104
- 8142138068397359104 squared (81421380683973591042) is 66294412324845477998847436401531682816
- 8142138068397359104 cubed (81421380683973591043) is 539778258312155436913679328125193778525464653199377956864
-
The
square root of 8142138068397359104 is 2853443195.2287676659 -
The
cube root of 8142138068397359104 is 2011775.3732615247
Scales and comparisons
How big is 8142138068397359104?- 8,142,138,068,397,359,104 seconds is equal to 258,894,805,288 years, 19 weeks, 4 days, 10 hours, 25 minutes, 4 seconds.
-
To count from 1 to 8,142,138,068,397,359,104 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 8142138068397359104 cubic inches would be around 167647.9 feet tall.
Recreational maths with 8142138068397359104
- 8142138068397359104 backwards is 4019537938608312418
- 8142138068397359104 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 8142138068397359104's digits is 82
- More coming soon!
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"Number 8142138068397359104 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 8142138068397359104 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/8142138068397359104/
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Numbermatics. 2024. "Number 8142138068397359104 - Facts about the integer". https://numbermatics.com/n/8142138068397359104/
The information we have on file for 8142138068397359104 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 8142138068397359104, math, Factors of 8142138068397359104, curriculum, school, college, exams, university, Prime factorization of 8142138068397359104, STEM, science, technology, engineering, physics, economics, calculator, eight quintillion, one hundred forty-two quadrillion, one hundred thirty-eight trillion, sixty-eight billion, three hundred ninety-seven million, three hundred fifty-nine thousand, one hundred four.