138809960067001344
138,809,960,067,001,344 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138809960067001344 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1408 divisors.
138809960067001344 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 138809960067001344:
210 × 3 × 11 × 31 × 41 × 257 × 2657 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 31 × 41 × 257 × 2657 × 4733)See below for interesting mathematical facts about the number 138809960067001344 from the Numbermatics database.
Names of 138809960067001344
- Cardinal: 138809960067001344 can be written as One hundred thirty-eight quadrillion, eight hundred nine trillion, nine hundred sixty billion, sixty-seven million, one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38809960067001344 × 1017
Factors of 138809960067001344
Divisors of 138809960067001344
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 31 32 33 41 44 48 62 64 66 82 88 93 96 123 124 128 132 164 176 186 192 246 248 256 257 264 328 341 352 372 384 451 492 496 512 514 528 656 682 704 744 768 771 902 984 992 1023 1024 1028 1056 1271 1312 1353 1364 1408 1488 1536 1542 1804 1968 1984 2046 2056 2112 2542 2624 2657 2706 2728 2816 2827 2976 3072 3084 3608 3813 3936 3968 4092 4112 4224 4733 5084 5248 5314 5412 5456 5632 5654 5952 6168 7216 7626 7872 7936 7967 7971 8184 8224 8448 8481 9466 10168 10496 10537 10628 10824 10912 11264 11308 11904 12336 13981 14199 14432 15252 15744 15872 15934 15942 16368 16448 16896 16962 18932 20336 20992 21074 21256 21648 21824 22616 23808 23901 24672 27962 28398 28864 29227 30504 31488 31611 31744 31868 31884 32736 32896 33792 33924 37864 40672 41943 41984 42148 42512 43296 43648 45232 47616 47802 49344 52063 55924 56796 57728 58454 61008 62976 63222 63736 63768 65472 65792 67848 75728 81344 82367 83886 84296 85024 86592 87296 87637 87681 90464 95232 95604 98688 104126 108937 111848 113592 115456 115907 116908 122016 125952 126444 127472 127536 130944 131584 135696 146723 151456 156189 162688 164734 167772 168592 170048 173184 174592 175274 175362 180928 191208 194053 197376 208252 217874 223696 227184 230912 231814 233816 244032 247101 252888 254944 255072 261888 262911 263168 271392 293446 302912 312378 325376 326647 326811 329468 335544 337184 340096 346368 347721 349184 350548 350724 361856 382416 388106 394752 416504 435748 440169 447392 454368 461824 463628 467632 488064 494202 505776 509888 510144 523776 525822 542784 582159 586892 605824 624756 650752 653294 653622 658936 671088 674368 680192 682849 692736 695442 701096 701448 723712 764832 776212 789504 833008 871496 880338 894784 906037 908736 927256 935264 976128 979941 988404 1011552 1019776 1020288 1047552 1051644 1085568 1164318 1173784 1198307 1211648 1216381 1249512 1301504 1306588 1307244 1317872 1342176 1348736 1360384 1365698 1385472 1390884 1402192 1402896 1447424 1529664 1552424 1613953 1666016 1742992 1760676 1789568 1812074 1817472 1854512 1870528 1952256 1959882 1976808 2023104 2039552 2040576 2048547 2103288 2134583 2171136 2328636 2347568 2396614 2423296 2432762 2499024 2613176 2614488 2635744 2684352 2697472 2718111 2720768 2731396 2781768 2804384 2805792 2894848 3059328 3104848 3227906 3332032 3377047 3485984 3521352 3579136 3593117 3594921 3624148 3634944 3649143 3709024 3741056 3904512 3919764 3953616 4046208 4079104 4081152 4097094 4206576 4269166 4342272 4657272 4695136 4793228 4841859 4846592 4865524 4998048 5226352 5228976 5271488 5368704 5394944 5436222 5462792 5563536 5608768 5611584 6015643 6118656 6209696 6403749 6455812 6664064 6754094 6971968 7042704 7158272 7186234 7189842 7248296 7269888 7298286 7418048 7482112 7511339 7839528 7907232 8092416 8158208 8162304 8194188 8413152 8538332 8684544 9314544 9390272 9586456 9683718 9731048 9996096 10131141 10452704 10457952 10542976 10737408 10779351 10789888 10872444 10925584 11127072 11217536 11223168 12031286 12237312 12419392 12575581 12807498 12911624 13328128 13380191 13508188 13943936 14085408 14316544 14372468 14379684 14496592 14539776 14596572 14836096 14964224 15022678 15679056 15814464 16184832 16388376 16826304 17076664 18046929 18629088 18780544 19172912 19367436 19462096 19992192 20262282 20905408 20915904 21085952 21168319 21474816 21558702 21744888 21851168 22254144 22435072 22446336 22534017 24062572 24474624 24838784 25151162 25614996 25823248 26656256 26760382 27016376 27887872 27996809 28170816 28744936 28759368 28993184 29193144 29672192 29928448 30045356 31358112 31628928 32369664 32776752 33652608 34153328 36093858 37147517 37258176 37561088 37707811 37726743 38345824 38734872 38924192 39984384 40140573 40524564 41810816 41831808 42171904 42336638 42949632 43117404 43489776 43702336 44508288 44870144 44892672 45068034 48125144 49677568 49871621 50302324 51229992 51646496 53312512 53520764 54032752 55775744 55993618 56341632 57489872 57518736 57986368 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205837109808 206843156288 210657727104 212370391552 212477016576 213307004922 222182676224 229125884856 236517042432 238439945216 255737015216 263986596352 265017793994 272099564176 272236177488 274449479744 280876969472 284409339896 296835888192 299399432448 300568961481 305501179808 310264734432 315356056576 318555587328 333274014336 351638395922 357659917824 362981569984 383605522824 395781184256 395979894528 397526690991 399199243264 400758615308 408149346264 411674219616 413686312576 421315454208 424740783104 424954033152 426614009844 444365352448 458251769712 473034084864 511474030432 527457593883 527973192704 530035587988 544199128352 544472354976 548898959488 561753938944 568818679792 593671776384 598798864896 601137922962 611002359616 620529468864 637111174656 666548028672 703276791844 715319835648 725963139968 767211045648 791562368512 791959789056 795053381982 801517230616 816298692528 823348439232 827372625152 842630908416 853228019688 888730704896 916503539424 946068169728 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6137688365184 6360427055856 6412137844928 6530389540224 6586787513856 6612517152582 6825824157504 7332028315392 8183584486912 8215551613814 8439321502128 8480569407808 8707186053632 8711557679616 8745587201802 8816689536776 9101098876672 9618206767392 9776037753856 9928471501824 11252428669504 11660782935736 12275376730368 12323327420721 12720854111712 12824275689856 13060779080448 13173575027712 13225034305164 13651648315008 14664056630784 16367168973824 16431103227628 16878643004256 16961138815616 17414372107264 17423115359232 17491174403604 17633379073552 18202197753344 19236413534784 22504857339008 23321565871472 24550753460736 24646654841442 25441708223424 25648551379712 26121558160896 26450068610328 27303296630016 29328113261568 32862206455256 33757286008512 33922277631232 34982348807208 35266758147104 36404395506688 38472827069568 45009714678016 45185533875977 46643131742944 49101506921472 49293309682884 50883416446848 51297102759424 52243116321792 52900137220656 54606593260032 65724412910512 67514572017024 67844555262464 69964697614416 70533516294208 76945654139136 90019429356032 90371067751954 93286263485888 98586619365768 101766832893696 102594205518848 105800274441312 109213186520064 131448825821024 135029144034048 135556601627931 135689110524928 139929395228832 141067032588416 153891308278272 180038858712064 180742135503908 186572526971776 197173238731536 203533665787392 211600548882624 262897651642048 270058288068096 271113203255862 279858790457664 282134065176832 307782616556544 361484271007816 373145053943552 394346477463072 407067331574784 423201097765248 525795303284096 540116576136192 542226406511724 559717580915328 564268130353664 722968542015632 746290107887104 788692954926144 846402195530496 1051590606568192 1084452813023448 1119435161830656 1128536260707328 1445937084031264 1492580215774208 1577385909852288 1692804391060992 2103181213136384 2168905626046896 2238870323661312 2891874168062528 3154771819704576 3385608782121984 4206362426272768 4337811252093792 4477740647322624 5783748336125056 6309543639409152 8675622504187584 11567496672250112 12619087278818304 17351245008375168 23134993344500224 34702490016750336 46269986689000448 69404980033500672 138809960067001344
- Sum of all divisors σ(n): 428707700981489664
- Sum of proper divisors (its aliquot sum) s(n): 289897740914488320
- 138809960067001344 is an abundant number, because the sum of its proper divisors (289897740914488320) is greater than itself. Its abundance is 151087780847486976
Bases of 138809960067001344
- Binary: 1111011010010011011101100010110010001010001101100000000002
- Hexadecimal: 0x1ED26EC59146C00
- Base-36: 11YS0VBKXIIO
Squares and roots of 138809960067001344
- 138809960067001344 squared (1388099600670013442) is 19268205013802507765661660097806336
- 138809960067001344 cubed (1388099600670013443) is 2674618768528721183243490982579861863730755963715584
-
The
square root of 138809960067001344 is 372572087.0744362999 -
The
cube root of 138809960067001344 is 517773.9656563467
Scales and comparisons
How big is 138809960067001344?- 138,809,960,067,001,344 seconds is equal to 4,413,727,362 years, 38 weeks, 17 hours, 42 minutes, 24 seconds.
-
To count from 1 to 138,809,960,067,001,344 would take you about thirteen billion, two hundred forty-one million, one hundred eighty-two thousand and eighty-eight 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 138809960067001344 cubic inches would be around 43147.8 feet tall.
Recreational maths with 138809960067001344
- 138809960067001344 backwards is 443100760069908831
- The number of decimal digits it has is: 18
- The sum of 138809960067001344's digits is 69
- More coming soon!
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"Number 138809960067001344 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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The information we have on file for 138809960067001344 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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