13980142003814400
13,980,142,003,814,400 is an even composite number composed of five prime numbers multiplied together.
13980142003814400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred eighty-four divisors.
Prime factorization of 13980142003814400:
218 × 3 × 52 × 73 × 31212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 73 × 3121 × 3121)See below for interesting mathematical facts about the number 13980142003814400 from the Numbermatics database.
Names of 13980142003814400
- Cardinal: 13980142003814400 can be written as Thirteen quadrillion, nine hundred eighty trillion, one hundred forty-two billion, three million, eight hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.39801420038144 × 1016
Factors of 13980142003814400
Divisors of 13980142003814400
- Number of divisors d(n): 684
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 73 75 80 96 100 120 128 146 150 160 192 200 219 240 256 292 300 320 365 384 400 438 480 512 584 600 640 730 768 800 876 960 1024 1095 1168 1200 1280 1460 1536 1600 1752 1825 1920 2048 2190 2336 2400 2560 2920 3072 3121 3200 3504 3650 3840 4096 4380 4672 4800 5120 5475 5840 6144 6242 6400 7008 7300 7680 8192 8760 9344 9363 9600 10240 10950 11680 12288 12484 12800 14016 14600 15360 15605 16384 17520 18688 18726 19200 20480 21900 23360 24576 24968 25600 28032 29200 30720 31210 32768 35040 37376 37452 38400 40960 43800 46720 46815 49152 49936 51200 56064 58400 61440 62420 65536 70080 74752 74904 76800 78025 81920 87600 93440 93630 98304 99872 102400 112128 116800 122880 124840 131072 140160 149504 149808 153600 156050 163840 175200 186880 187260 196608 199744 204800 224256 227833 233600 234075 245760 249680 262144 280320 299008 299616 307200 312100 327680 350400 373760 374520 393216 399488 409600 448512 455666 467200 468150 491520 499360 560640 598016 599232 614400 624200 655360 683499 700800 747520 749040 786432 798976 819200 897024 911332 934400 936300 983040 998720 1121280 1139165 1196032 1198464 1228800 1248400 1310720 1366998 1401600 1495040 1498080 1597952 1638400 1794048 1822664 1868800 1872600 1966080 1997440 2242560 2278330 2392064 2396928 2457600 2496800 2733996 2803200 2990080 2996160 3195904 3276800 3417495 3588096 3645328 3737600 3745200 3932160 3994880 4485120 4556660 4784128 4793856 4915200 4993600 5467992 5606400 5695825 5980160 5992320 6391808 6553600 6834990 7176192 7290656 7475200 7490400 7989760 8970240 9113320 9568256 9587712 9740641 9830400 9987200 10935984 11212800 11391650 11960320 11984640 12783616 13669980 14352384 14581312 14950400 14980800 15979520 17087475 17940480 18226640 19136512 19175424 19481282 19660800 19974400 21871968 22425600 22783300 23920640 23969280 25567232 27339960 28704768 29162624 29221923 29900800 29961600 31959040 34174950 35880960 36453280 38350848 38962564 39948800 43743936 44851200 45566600 47841280 47938560 48703205 51134464 54679920 57409536 58325248 58443846 59801600 59923200 63918080 68349900 71761920 72906560 76701696 77925128 79897600 87487872 89702400 91133200 95682560 95877120 97406410 102268928 109359840 116650496 116887692 119603200 119846400 127836160 136699800 143523840 145813120 146109615 153403392 155850256 159795200 174975744 179404800 182266400 191754240 194812820 204537856 218719680 233300992 233775384 239206400 239692800 243516025 255672320 273399600 287047680 291626240 292219230 306806784 311700512 319590400 349951488 358809600 364532800 383508480 389625640 409075712 437439360 466601984 467550768 478412800 479385600 487032050 511344640 546799200 583252480 584438460 613613568 623401024 639180800 699902976 711066793 717619200 729065600 730548075 767016960 779251280 818151424 874878720 933203968 935101536 958771200 974064100 1022689280 1093598400 1166504960 1168876920 1227227136 1246802048 1278361600 1399805952 1422133586 1435238400 1458131200 1461096150 1534033920 1558502560 1749757440 1866407936 1870203072 1917542400 1948128200 2045378560 2133200379 2187196800 2333009920 2337753840 2454454272 2493604096 2556723200 2799611904 2844267172 2916262400 2922192300 3068067840 3117005120 3499514880 3555333965 3732815872 3740406144 3835084800 3896256400 4090757120 4266400758 4374393600 4666019840 4675507680 4987208192 5113446400 5599223808 5688534344 5832524800 5844384600 6136135680 6234010240 6999029760 7110667930 7465631744 7480812288 7670169600 7792512800 8532801516 8748787200 9332039680 9351015360 9974416384 10226892800 10666001895 11198447616 11377068688 11665049600 11688769200 12272271360 12468020480 13998059520 14221335860 14931263488 14961624576 15340339200 15585025600 17065603032 17497574400 17776669825 18664079360 18702030720 19948832768 20453785600 21332003790 22396895232 22754137376 23330099200 23377538400 24936040960 27996119040 28442671720 29862526976 29923249152 30680678400 31170051200 34131206064 34995148800 35553339650 37328158720 37404061440 39897665536 42664007580 44793790464 45508274752 46660198400 46755076800 49872081920 53330009475 55992238080 56885343440 59725053952 59846498304 61361356800 62340102400 68262412128 69990297600 71106679300 74656317440 74808122880 79795331072 85328015160 89587580928 91016549504 93320396800 93510153600 99744163840 106660018950 111984476160 113770686880 119692996608 124680204800 136524824256 139980595200 142213358600 149312634880 149616245760 159590662144 170656030320 179175161856 182033099008 186640793600 187020307200 199488327680 213320037900 223968952320 227541373760 239385993216 249360409600 273049648512 279961190400 284426717200 298625269760 299232491520 319181324288 341312060640 364066198016 373281587200 374040614400 398976655360 426640075800 447937904640 455082747520 478771986432 498720819200 546099297024 559922380800 568853434400 598464983040 638362648576 682624121280 728132396032 746563174400 748081228800 797953310720 853280151600 895875809280 910165495040 957543972864 997441638400 1092198594048 1119844761600 1137706868800 1196929966080 1276725297152 1365248242560 1456264792064 1493126348800 1496162457600 1595906621440 1706560303200 1820330990080 1915087945728 1994883276800 2184397188096 2239689523200 2275413737600 2393859932160 2553450594304 2730496485120 2912529584128 2992324915200 3191813242880 3413120606400 3640661980160 3830175891456 3989766553600 4368794376192 4479379046400 4550827475200 4787719864320 5460992970240 5825059168256 5984649830400 6383626485760 6826241212800 7281323960320 7660351782912 7979533107200 8737588752384 9101654950400 9575439728640 10921985940480 11650118336512 11969299660800 12767252971520 13652482425600 14562647920640 15959066214400 17475177504768 18203309900800 19150879457280 21843971880960 23300236673024 23938599321600 27304964851200 29125295841280 31918132428800 34950355009536 36406619801600 38301758914560 43687943761920 46600473346048 47877198643200 54609929702400 58250591682560 63836264857600 69900710019072 72813239603200 87375887523840 93200946692096 95754397286400 109219859404800 116501183365120 139801420038144 145626479206400 174751775047680 186401893384192 191508794572800 218439718809600 233002366730240 279602840076288 291252958412800 349503550095360 436879437619200 466004733460480 559205680152576 582505916825600 699007100190720 873758875238400 932009466920960 1165011833651200 1398014200381440 1747517750476800 2330023667302400 2796028400762880 3495035500953600 4660047334604800 6990071001907200 13980142003814400
- Sum of all divisors σ(n): 46875855423697656
- Sum of proper divisors (its aliquot sum) s(n): 32895713419883256
- 13980142003814400 is an abundant number, because the sum of its proper divisors (32895713419883256) is greater than itself. Its abundance is 18915571416068856
Bases of 13980142003814400
- Binary: 1100011010101011011101011101100000110000000000000000002
- Hexadecimal: 0x31AADD760C0000
- Base-36: 3TNJOKOI1HC
Squares and roots of 13980142003814400
- 13980142003814400 squared (139801420038144002) is 195444370446815707304149647360000
- 13980142003814400 cubed (139801420038144003) is 2732340052692590042574783093283673534889984000000
-
The
square root of 13980142003814400 is 118237650.5340595813 -
The
cube root of 13980142003814400 is 240900.2186968593
Scales and comparisons
How big is 13980142003814400?- 13,980,142,003,814,400 seconds is equal to 444,525,272 years, 15 weeks, 5 days, 5 hours, 20 minutes.
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To count from 1 to 13,980,142,003,814,400 would take you about one billion, three hundred thirty-three million, five hundred seventy-five thousand, eight hundred sixteen 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 13980142003814400 cubic inches would be around 20075 feet tall.
Recreational maths with 13980142003814400
- 13980142003814400 backwards is 00441830024108931
- 13980142003814400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13980142003814400's digits is 48
- More coming soon!
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The information we have on file for 13980142003814400 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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