13427642166675968
13,427,642,166,675,968 is an even composite number composed of eight prime numbers multiplied together.
13427642166675968 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13427642166675968:
29 × 72 × 11 × 31 × 71 × 151 × 281 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 31 × 71 × 151 × 281 × 521)See below for interesting mathematical facts about the number 13427642166675968 from the Numbermatics database.
Names of 13427642166675968
- Cardinal: 13427642166675968 can be written as Thirteen quadrillion, four hundred twenty-seven trillion, six hundred forty-two billion, one hundred sixty-six million, six hundred seventy-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3427642166675968 × 1016
Factors of 13427642166675968
Divisors of 13427642166675968
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 64 71 77 88 98 112 124 128 142 151 154 176 196 217 224 248 256 281 284 302 308 341 352 392 434 448 496 497 512 521 539 562 568 604 616 682 704 781 784 868 896 992 994 1042 1057 1078 1124 1136 1208 1232 1364 1408 1519 1562 1568 1661 1736 1792 1967 1984 1988 2084 2114 2156 2201 2248 2272 2387 2416 2464 2728 2816 3038 3091 3124 3136 3322 3472 3479 3584 3647 3934 3968 3976 4168 4228 4312 4402 4496 4544 4681 4774 4832 4928 5456 5467 5632 5731 6076 6182 6248 6272 6644 6944 6958 7294 7399 7868 7936 7952 8336 8456 8624 8711 8804 8992 9088 9362 9548 9664 9856 10721 10912 10934 11462 11627 12152 12364 12496 12544 13288 13769 13888 13916 14588 14798 15407 15736 15872 15904 16151 16672 16709 16912 17248 17422 17608 17984 18176 18724 19096 19328 19712 19951 21442 21637 21824 21868 22924 23254 24211 24304 24728 24992 25088 25529 26576 27538 27776 27832 29176 29596 30814 31472 31808 32302 32767 33344 33418 33824 34496 34844 35216 35968 36352 36991 37448 38192 38269 38656 39424 39902 40117 42431 42884 43274 43648 43736 45848 46508 48422 48608 49456 49984 51058 51491 53152 55076 55552 55664 58352 59192 60977 61628 62944 63616 64604 65534 66688 66836 67648 68992 69688 70432 71936 73982 74896 75047 76384 76538 77312 78671 79804 80234 81389 84862 85768 86548 87296 87472 91696 93016 95821 96844 97216 98912 99968 102116 102982 106304 107849 110152 111104 111328 113057 116704 117931 118384 121954 123256 125888 127232 129208 131068 133376 133672 135296 137984 139376 139657 140864 143872 146401 147964 149792 150094 151459 152768 153076 157342 159608 160468 162778 169477 169724 171536 173096 174592 174944 177661 183392 186032 191642 193688 194432 197824 199936 204232 205964 212608 215698 219461 220304 222656 226114 229369 233408 235862 236768 243908 246512 251776 254464 258416 258937 262136 266752 267344 270592 275968 278752 279314 280819 281728 292802 295928 297017 299584 300188 302918 305536 306152 314684 319216 320936 325556 332351 338954 339448 343072 346192 349888 355322 360437 366784 372064 383284 387376 388864 395648 399872 406901 408464 411928 425216 426839 431396 438922 440608 445312 452228 458738 466741 466816 471724 473536 487816 493024 503552 516832 517874 524272 525329 534688 541184 550697 557504 558628 561638 563456 585604 591856 594034 599168 600376 605836 611072 612304 618481 629368 638432 641872 651112 664702 670747 677908 678896 686144 692384 699776 710644 720874 733568 744128 766568 774752 777728 791296 791399 813802 816928 823856 825517 850432 853678 862792 865381 877844 881216 890624 904456 917476 933482 933632 943448 947072 975632 977599 986048 1007104 1024807 1033664 1035748 1048544 1050658 1069376 1101394 1115008 1117256 1123276 1126912 1146721 1171208 1183712 1186339 1188068 1198336 1200752 1211672 1222144 1224608 1236962 1243627 1258736 1276864 1283744 1302224 1315361 1329404 1341494 1355816 1357792 1372288 1384768 1399552 1421288 1441748 1467136 1488256 1533136 1536227 1549504 1582592 1582798 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8484588679 8665767992 8740662784 8758285088 9022400828 9152281838 9313446016 9447516736 9594243134 9696672776 9784857236 9889321904 9903734848 10009468672 10100497792 10208332288 10311315232 10459750672 10516109912 10667560288 10797161984 10855339264 10964849296 10986955847 11081911744 11182693984 11205239738 11302082176 11318554112 11343673264 11464780096 11709598208 11915430989 11954000768 12018411328 12042641996 12191497472 12556520968 12780221696 12805988272 12964198016 12990335512 13102605824 13332925067 13617635416 13735327232 13763019424 14178058444 14232519616 14382157174 14384468224 14635415168 14846097728 15076667782 15237628648 15296159872 15516451328 15563011904 15729165056 15789201449 16265736704 16298530528 16436751056 16499888384 16966968832 16969177358 17265216331 17331535984 17516570176 18044801656 18304563676 18626892032 18895033472 19188486268 19393345552 19569714472 19778643808 19807469696 20018937344 20200995584 20622630464 20919501344 21032219824 21335120576 21710678528 21929698592 21973911694 22163823488 22365387968 22410479476 22604164352 22687346528 22929560192 23830861978 23908001536 24036822656 24085283992 24382994944 24811602277 25113041936 25560443392 25611976544 25928396032 25980671024 26665850134 27235270832 27526038848 28356116888 28465039232 28764314348 28768936448 29270830336 29692195456 30153335564 30475257296 30592319744 31126023808 31458330112 31578402898 32597061056 32873502112 32999776768 33579850969 33938354716 34530432662 34663071968 35033140352 36089603312 36609127352 37253784064 37790066944 38376972536 38786691104 39139428944 39557287616 39614939392 40401991168 41245260928 41839002688 42064439648 42670241152 43859397184 43947823388 44327646976 44730775936 44820958952 45208328704 45374693056 45859120384 47661723956 47816003072 48073645312 48170567984 48656518751 49623204554 50226083872 50337550109 51223953088 51856792064 51961342048 52768337237 53331700268 54470541664 55052077696 56712233776 56930078464 57528628696 58541660672 59384390912 60306671128 60950514592 61184639488 62252047616 63156805796 65194122112 65747004224 67159701938 67876709432 69060865324 69326143936 70066280704 72179206624 73218254704 75580133888 76753945072 76908690929 77573382208 78278857888 79114575232 79229878784 82490521856 83678005376 84128879296 85340482304 87718794368 87895646776 88655293952 89461551872 89641917904 90749386112 91718240768 93330475469 95323447912 96147290624 96341135968 97313037502 99246409108 100452167744 100675100218 102447906176 103922684096 105536674474 106663400536 108941083328 110104155392 113424467552 113860156928 115057257392 118768781824 120613342256 120856514317 121901029184 124504095232 126313611592 130388244224 131494008448 134319403876 135753418864 138121730648 138652287872 140132561408 144358413248 146436509408 153507890144 153817381858 155146764416 156557715776 158229150464 164981043712 167356010752 168257758592 170680964608 173681215939 175437588736 175791293552 178923103744 179283835808 181498772224 186660950938 190646895824 192682271936 194626075004 198492818216 200904335488 201350200436 204895812352 207845368192 211073348948 213326801072 217882166656 220208310784 226848935104 230114514784 241226684512 241713028634 243802058368 252627223184 260776488448 262988016896 268638807752 271506837728 276243461296 277304575744 288716826496 292873018816 307015780288 307634763716 310293528832 313115431552 316458300928 334712021504 336515517184 340595631257 347362431878 350875177472 351582587104 358567671616 362997544448 369378360659 373321901876 381293791648 385364543872 389252150008 396985636432 401808670976 402700400872 409791624704 415690736384 422146697896 426653602144 435764333312 453697870208 460229029568 482453369024 483426057268 487604116736 505254446368 525976033792 535221706261 537277615504 543013675456 552486922592 554609151488 577433652992 585746037632 614031560576 615269527432 620587057664 626230863104 673031034368 681191262514 694724863756 703165174208 717135343232 738756721318 746643803752 762587583296 770729087744 778504300016 793971272864 803617341952 805400801744 831381472768 844293395792 845995600219 853307204288 871528666624 907395740416 920458059136 964906738048 966852114536 975208233472 1010508892736 1070443412522 1074555231008 1086027350912 1104973845184 1154867305984 1171492075264 1228063121152 1230539054864 1252461726208 1362382525028 1389449727512 1406330348416 1434270686464 1477513442636 1493287607504 1525175166592 1541458175488 1557008600032 1587942545728 1610801603488 1688586791584 1691991200438 1706614408576 1814791480832 1840916118272 1929813476096 1933704229072 2021017785472 2140886825044 2149110462016 2172054701824 2209947690368 2342984150528 2384169418799 2456126242304 2461078109728 2724765050056 2778899455024 2812660696832 2868541372928 2955026885272 2986575215008 3050350333184 3114017200064 3175885091456 3221603206976 3377173583168 3383982400876 3413228817152 3681832236544 3746551943827 3859626952192 3867408458144 4042035570944 4281773650088 4298220924032 4344109403648 4419895380736 4768338837598 4922156219456 5449530100112 5557798910048 5625321393664 5910053770544 5973150430016 6100700666368 6228034400128 6351770182912 6443206413952 6754347166336 6767964801752 6826457634304 7493103887654 7734816916288 8084071141888 8563547300176 8596441848064 8839790761472 9536677675196 9844312438912 10899060200224 11115597820096 11820107541088 11946300860032 12456068800256 12703540365824 12886412827904 13508694332672 13535929603504 14986207775308 15469633832576 17127094600352 17192883696128 19073355350392 19688624877824 21798120400448 22231195640192 23640215082176 23892601720064 24912137600512 25772825655808 26225863606789 27017388665344 27071859207008 29972415550616 30939267665152 34254189200704 38146710700784 39377249755648 43596240800896 44462391280384 47280430164352 47785203440128 52451727213578 54143718414016 59944831101232 61878535330304 68508378401408 76293421401568 87192481601792 88924782560768 94560860328704 104903454427156 108287436828032 119889662202464 137016756802816 152586842803136 174384963203584 189121720657408 209806908854312 216574873656064 239779324404928 274033513605632 305173685606272 419613817708624 433149747312128 479558648809856 610347371212544 839227635417248 959117297619712 1220694742425088 1678455270834496 1918234595239424 3356910541668992 6713821083337984 13427642166675968
- Sum of all divisors σ(n): 36072596961460224
- Sum of proper divisors (its aliquot sum) s(n): 22644954794784256
- 13427642166675968 is an abundant number, because the sum of its proper divisors (22644954794784256) is greater than itself. Its abundance is 9217312628108288
Bases of 13427642166675968
- Binary: 1011111011010001011110100100011000010000001010000000002
- Hexadecimal: 0x2FB45E91840A00
- Base-36: 3O7P9NILB7K
Squares and roots of 13427642166675968
- 13427642166675968 squared (134276421666759682) is 180301574156294484395790308737024
- 13427642166675968 cubed (134276421666759683) is 2421025019859113787465425052519475251170332639232
-
The
square root of 13427642166675968 is 115877703.4924146571 -
The
cube root of 13427642166675968 is 237683.9847360299
Scales and comparisons
How big is 13427642166675968?- 13,427,642,166,675,968 seconds is equal to 426,957,486 years, 24 weeks, 5 days, 6 hours, 26 minutes, 8 seconds.
-
To count from 1 to 13,427,642,166,675,968 would take you about one billion, two hundred eighty million, eight hundred seventy-two thousand, four hundred fifty-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 13427642166675968 cubic inches would be around 19807 feet tall.
Recreational maths with 13427642166675968
- 13427642166675968 backwards is 86957666124672431
- The number of decimal digits it has is: 17
- The sum of 13427642166675968's digits is 83
- More coming soon!
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"Number 13427642166675968 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13427642166675968 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13427642166675968/
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Numbermatics. 2024. "Number 13427642166675968 - Facts about the integer". https://numbermatics.com/n/13427642166675968/
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