138307447528892942400
138,307,447,528,892,942,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138307447528892942400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 567 divisors.
138307447528892942400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred sixty-seven divisors.
Prime factorization of 138307447528892942400:
26 × 32 × 52 × 412 × 23903292
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 41 × 41 × 2390329 × 2390329)See below for interesting mathematical facts about the number 138307447528892942400 from the Numbermatics database.
Names of 138307447528892942400
- Cardinal: 138307447528892942400 can be written as One hundred thirty-eight quintillion, three hundred seven quadrillion, four hundred forty-seven trillion, five hundred twenty-eight billion, eight hundred ninety-two million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.383074475288929424 × 1020
Factors of 138307447528892942400
Divisors of 138307447528892942400
- Number of divisors d(n): 567
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 144 150 160 164 180 192 200 205 225 240 246 288 300 320 328 360 369 400 410 450 480 492 576 600 615 656 720 738 800 820 900 960 984 1025 1200 1230 1312 1440 1476 1600 1640 1681 1800 1845 1968 2050 2400 2460 2624 2880 2952 3075 3280 3362 3600 3690 3936 4100 4800 4920 5043 5904 6150 6560 6724 7200 7380 7872 8200 8405 9225 9840 10086 11808 12300 13120 13448 14400 14760 15129 16400 16810 18450 19680 20172 23616 24600 25215 26896 29520 30258 32800 33620 36900 39360 40344 42025 49200 50430 53792 59040 60516 65600 67240 73800 75645 80688 84050 98400 100860 107584 118080 121032 126075 134480 147600 151290 161376 168100 196800 201720 242064 252150 268960 295200 302580 322752 336200 378225 403440 484128 504300 537920 590400 605160 672400 756450 806880 968256 1008600 1210320 1344800 1512900 1613760 2017200 2390329 2420640 2689600 3025800 4034400 4780658 4841280 6051600 7170987 8068800 9561316 11951645 12103200 14341974 19122632 21512961 23903290 24206400 28683948 35854935 38245264 43025922 47806580 57367896 59758225 71709870 76490528 86051844 95613160 98003489 107564805 114735792 119516450 143419740 152981056 172103688 179274675 191226320 196006978 215129610 229471584 239032900 286839480 294010467 344207376 358549350 382452640 392013956 430259220 458943168 478065800 490017445 537824025 573678960 588020934 688414752 717098700 764905280 784027912 860518440 882031401 956131600 980034890 1075648050 1147357920 1176041868 1376829504 1434197400 1470052335 1568055824 1721036880 1764062802 1912263200 1960069780 2151296100 2294715840 2352083736 2450087225 2868394800 2940104670 3136111648 3442073760 3528125604 3824526400 3920139560 4018143049 4302592200 4410157005 4704167472 4900174450 5736789600 5880209340 6272223296 6884147520 7056251208 7350261675 7840279120 8036286098 8605184400 8820314010 9408334944 9800348900 11473579200 11760418680 12054429147 14112502416 14700523350 15680558240 16072572196 17210368800 17640628020 18816669888 19600697800 20090715245 22050785025 23520837360 24108858294 28225004832 29401046700 31361116480 32145144392 34420737600 35281256040 36163287441 39201395600 40181430490 44101570050 47041674720 48217716588 56450009664 58802093400 60272145735 64290288784 70562512080 72326574882 78402791200 80362860980 88203140100 94083349440 96435433176 100453576225 117604186800 120544291470 128580577568 141125024160 144653149764 156805582400 160725721960 176406280200 180816437205 192870866352 200907152450 235208373600 241088582940 257161155136 282250048320 289306299528 301360728675 321451443920 352812560400 361632874410 385741732704 401814304900 470416747200 482177165880 578612599056 602721457350 642902887840 705625120800 723265748820 771483465408 803628609800 904082186025 964354331760 1157225198112 1205442914700 1285805775680 1411250241600 1446531497640 1607257219600 1808164372050 1928708663520 2314450396224 2410885829400 2893062995280 3214514439200 3616328744100 3857417327040 4821771658800 5713672728241 5786125990560 6429028878400 7232657488200 9643543317600 11427345456482 11572251981120 14465314976400 17141018184723 19287086635200 22854690912964 28568363641205 28930629952800 34282036369446 45709381825928 51423054554169 57136727282410 57861259905600 68564072738892 85705090923615 91418763651856 102846109108338 114273454564820 137128145477784 142841818206025 171410181847230 182837527303712 205692218216676 228546909129640 234260581857881 257115272770845 274256290955568 285683636412050 342820363694460 365675054607424 411384436433352 428525454618075 457093818259280 468521163715762 514230545541690 548512581911136 571367272824100 685640727388920 702781745573643 822768872866704 857050909236150 914187636518560 937042327431524 1028461091083380 1097025163822272 1142734545648200 1171302909289405 1285576363854225 1371281454777840 1405563491147286 1645537745733408 1714101818472300 1828375273037120 1874084654863048 2056922182166760 2108345236720929 2285469091296400 2342605818578810 2571152727708450 2742562909555680 2811126982294572 3291075491466816 3428203636944600 3513908727868215 3748169309726096 4113844364333520 4216690473441858 4570938182592800 4685211637157620 5142305455416900 5485125819111360 5622253964589144 5856514546447025 6856407273889200 7027817455736430 7496338619452192 8227688728667040 8433380946883716 9141876365185600 9370423274315240 9604683856173121 10284610910833800 10541726183604645 11244507929178288 11713029092894050 13712814547778400 14055634911472860 14992677238904384 16455377457334080 16866761893767432 17569543639341075 18740846548630480 19209367712346242 20569221821667600 21083452367209290 22489015858356576 23426058185788100 27425629095556800 28111269822945720 28814051568519363 33733523787534864 35139087278682150 37481693097260960 38418735424692484 41138443643335200 42166904734418580 44978031716713152 46852116371576200 48023419280865605 52708630918023225 56222539645891440 57628103137038726 67467047575069728 70278174557364300 74963386194521920 76837470849384968 82276887286670400 84333809468837160 86442154705558089 93704232743152400 96046838561731210 105417261836046450 112445079291782880 115256206274077452 134934095150139456 140556349114728600 144070257842596815 153674941698769936 168667618937674320 172884309411116178 187408465486304800 192093677123462420 210834523672092900 224890158583565760 230512412548154904 240117096404328025 281112698229457200 288140515685193630 307349883397539872 337335237875348640 345768618822232356 374816930972609600 384187354246924840 421669047344185800 432210773527790445 461024825096309808 480234192808656050 562225396458914400 576281031370387260 614699766795079744 674670475750697280 691537237644464712 720351289212984075 768374708493849680 843338094688371600 864421547055580890 922049650192619616 960468385617312100 1124450792917828800 1152562062740774520 1383074475288929424 1440702578425968150 1536749416987699360 1686676189376743200 1728843094111161780 1844099300385239232 1920936771234624200 2161053867638952225 2305124125481549040 2766148950577858848 2881405156851936300 3073498833975398720 3373352378753486400 3457686188222323560 3841873542469248400 4322107735277904450 4610248250963098080 5532297901155717696 5762810313703872600 6915372376444647120 7683747084938496800 8644215470555808900 9220496501926196160 11525620627407745200 13830744752889294240 15367494169876993600 17288430941111617800 23051241254815490400 27661489505778588480 34576861882223235600 46102482509630980800 69153723764446471200 138307447528892942400
- Sum of all divisors σ(n): 503859657557692390773
- Sum of proper divisors (its aliquot sum) s(n): 365552210028799448373
- 138307447528892942400 is an abundant number, because the sum of its proper divisors (365552210028799448373) is greater than itself. Its abundance is 227244762499906505973
Bases of 138307447528892942400
- Binary: 11101111111011001101100001010111110010001101010010001001000010000002
- Hexadecimal: 0x77F66C2BE46A44840
- Base-36: T6SMIC8MUGLS0
Squares and roots of 138307447528892942400
- 138307447528892942400 squared (1383074475288929424002) is 19128950041957474479051850120529717760000
- 138307447528892942400 cubed (1383074475288929424003) is 2645676254210847850478808503695747723426915792727937024000000
-
138307447528892942400 is a
perfect square number . Itssquare root is 11760418680 -
The
cube root of 138307447528892942400 is 5171484.0412030575
Scales and comparisons
How big is 138307447528892942400?- 138,307,447,528,892,942,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,307,447,528,892,942,400 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 138307447528892942400 cubic inches would be around 430957 feet tall.
Recreational maths with 138307447528892942400
- 138307447528892942400 backwards is 004249298825744703831
- 138307447528892942400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138307447528892942400's digits is 90
- More coming soon!
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The information we have on file for 138307447528892942400 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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