1013825679869624573952
1,013,825,679,869,624,573,952 is an even composite number composed of seven prime numbers multiplied together.
1013825679869624573952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 1013825679869624573952:
213 × 33 × 7 × 11 × 13 × 31 × 147711329963
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 31 × 147711329963)See below for interesting mathematical facts about the number 1013825679869624573952 from the Numbermatics database.
Names of 1013825679869624573952
- Cardinal: 1013825679869624573952 can be written as One sextillion, thirteen quintillion, eight hundred twenty-five quadrillion, six hundred seventy-nine trillion, eight hundred sixty-nine billion, six hundred twenty-four million, five hundred seventy-three thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.013825679869624573952 × 1021
Factors of 1013825679869624573952
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 21
- Sum of prime factors: 147711330030
Divisors of 1013825679869624573952
- Number of divisors d(n): 1792
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 31 32 33 36 39 42 44 48 52 54 56 62 63 64 66 72 77 78 84 88 91 93 96 99 104 108 112 117 124 126 128 132 143 144 154 156 168 176 182 186 189 192 198 208 216 217 224 231 234 248 252 256 264 273 279 286 288 297 308 312 336 341 351 352 364 372 378 384 396 403 416 429 432 434 448 462 468 496 504 512 528 546 558 572 576 594 616 624 651 672 682 693 702 704 728 744 756 768 792 806 819 832 837 858 864 868 896 924 936 992 1001 1008 1023 1024 1056 1092 1116 1144 1152 1188 1209 1232 1248 1287 1302 1344 1364 1386 1404 1408 1456 1488 1512 1536 1584 1612 1638 1664 1674 1716 1728 1736 1792 1848 1872 1953 1984 2002 2016 2046 2048 2079 2112 2184 2232 2288 2304 2376 2387 2418 2457 2464 2496 2574 2604 2688 2728 2772 2808 2816 2821 2912 2976 3003 3024 3069 3072 3168 3224 3276 3328 3348 3432 3456 3472 3584 3627 3696 3744 3861 3906 3968 4004 4032 4092 4096 4158 4224 4368 4433 4464 4576 4608 4752 4774 4836 4914 4928 4992 5148 5208 5376 5456 5544 5616 5632 5642 5824 5859 5952 6006 6048 6138 6144 6336 6448 6552 6656 6696 6864 6912 6944 7161 7168 7254 7392 7488 7722 7812 7936 8008 8064 8184 8192 8316 8448 8463 8736 8866 8928 9009 9152 9207 9216 9504 9548 9672 9828 9856 9984 10296 10416 10752 10881 10912 11088 11232 11264 11284 11648 11718 11904 12012 12096 12276 12288 12672 12896 13104 13299 13312 13392 13728 13824 13888 14322 14336 14508 14784 14976 15444 15624 15872 16016 16128 16368 16632 16896 16926 17472 17732 17856 18018 18304 18414 18432 19008 19096 19344 19656 19712 19968 20592 20832 21483 21504 21762 21824 22176 22464 22528 22568 23296 23436 23808 24024 24192 24552 24576 25344 25389 25792 26208 26598 26624 26784 27027 27456 27648 27776 28644 28672 29016 29568 29952 30888 31031 31248 31744 32032 32256 32736 33264 33792 33852 34944 35464 35712 36036 36608 36828 36864 38016 38192 38688 39312 39424 39897 39936 41184 41664 42966 43008 43524 43648 44352 44928 45056 45136 46592 46872 47616 48048 48384 49104 50688 50778 51584 52416 53196 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412627464334401536 419282746017214464 424727976484970496 426694309709437952 440028506887857888 443105629313647104 454222974851982336 464205897376201728 480031098423117696 487650639667929088 495032070248840124 495515972565798912 502889722157551872 506406433501310976 511000846708480128 519111971259408384 541573546938902016 548606969626420224 565750937427245856 584000967666834432 586704675850477184 590807505751529472 605630633135976448 609270240306264768 618941196501602304 628924119025821696 640041464564156928 660042760331786832 670519629543402496 681334462277973504 696308846064302592 720046647634676544 722098062585202688 731475959501893632 743273958848698368 754334583236327808 778667956889112576 787743341002039296 812360320408353024 822910454439630336 838565492034428928 853388619418875904 880057013775715776 886211258627294208 908445949703964672 928411794752403456 960062196846235392 990064140497680248 991031945131597824 1005779444315103744 1012812867002621952 1022001693416960256 1083147093877804032 1097213939252840448 1131501874854491712 1168001935333668864 1173409351700954368 1181615011503058944 1211261266271952896 1218540480612529536 1237882393003204608 1257848238051643392 1280082929128313856 1320085520663573664 1341039259086804992 1362668924555947008 1392617692128605184 1440093295269353088 1444196125170405376 1462951919003787264 1486547917697396736 1508669166472655616 1557335913778225152 1624720640816706048 1645820908879260672 1706777238837751808 1760114027551431552 1772422517254588416 1816891899407929344 1856823589504806912 1920124393692470784 1980128280995360496 2011558888630207488 2044003386833920512 2166294187755608064 2194427878505680896 2263003749708983424 2336003870667337728 2346818703401908736 2363230023006117888 2437080961225059072 2515696476103286784 2560165858256627712 2640171041327147328 2682078518173609984 2725337849111894016 2785235384257210368 2880186590538706176 2888392250340810752 2973095835394793472 3017338332945311232 3249441281633412096 3291641817758521344 3413554477675503616 3520228055102863104 3544845034509176832 3633783798815858688 3713647179009613824 3840248787384941568 3960256561990720992 4023117777260414976 4088006773667841024 4332588375511216128 4388855757011361792 4526007499417966848 4672007741334675456 4693637406803817472 4874161922450118144 5120331716513255424 5280342082654294656 5364157036347219968 5450675698223788032 5570470768514420736 5760373181077412352 6034676665890622464 6498882563266824192 6583283635517042688 7040456110205726208 7089690069018353664 7680497574769883136 7920513123981441984 8046235554520829952 8176013547335682048 8665176751022432256 9052014998835933696 9387274813607634944 9748323844900236288 10240663433026510848 10560684165308589312 10901351396447576064 11140941537028841472 11520746362154824704 12069353331781244928 12997765126533648384 13166567271034085376 14080912220411452416 15360995149539766272 15841026247962883968 16092471109041659904 16352027094671364096 18104029997671867392 18774549627215269888 19496647689800472576 21121368330617178624 23041492724309649408 24138706663562489856 25995530253067296768 28161824440822904832 30721990299079532544 31682052495925767936 32704054189342728192 36208059995343734784 37549099254430539776 38993295379600945152 42242736661234357248 46082985448619298816 48277413327124979712 56323648881645809664 63364104991851535872 72416119990687469568 77986590759201890304 84485473322468714496 92165970897238597632 112647297763291619328 126728209983703071744 144832239981374939136 168970946644937428992 253456419967406143488 337941893289874857984 506912839934812286976 1013825679869624573952
- Sum of all divisors σ(n): 4163096501846380707840
- Sum of proper divisors (its aliquot sum) s(n): 3149270821976756133888
- 1013825679869624573952 is an abundant number, because the sum of its proper divisors (3149270821976756133888) is greater than itself. Its abundance is 2135445142107131559936
Bases of 1013825679869624573952
- Binary: 11011011110101101010000101110001011100110111011101110111100000000000002
- Hexadecimal: 0x36F5A85C5CDDDDE000
- Base-36: 5XYKLLLRE9WQO0
Squares and roots of 1013825679869624573952
- 1013825679869624573952 squared (10138256798696245739522) is 1027842509163106490080191126437197516898304
- 1013825679869624573952 cubed (10138256798696245739523) is 1042053130651187263175577670722758946069215881065975936511377408
-
The
square root of 1013825679869624573952 is 31840629388.7169349395 -
The
cube root of 1013825679869624573952 is 10045874.8277712215
Scales and comparisons
How big is 1013825679869624573952?- 1,013,825,679,869,624,573,952 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 1,013,825,679,869,624,573,952 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 1013825679869624573952 cubic inches would be around 837156.2 feet tall.
Recreational maths with 1013825679869624573952
- 1013825679869624573952 backwards is 2593754269689765283101
- 1013825679869624573952 is a
Harshad number . - The number of decimal digits it has is: 22
- The sum of 1013825679869624573952's digits is 108
- More coming soon!
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"Number 1013825679869624573952 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 1013825679869624573952 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/1013825679869624573952/
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Numbermatics. 2024. "Number 1013825679869624573952 - Facts about the integer". https://numbermatics.com/n/1013825679869624573952/
The information we have on file for 1013825679869624573952 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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