138470353006759200
138,470,353,006,759,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138470353006759200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
138470353006759200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138470353006759200:
25 × 32 × 52 × 7 × 312 × 2858925743
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 31 × 31 × 2858925743)See below for interesting mathematical facts about the number 138470353006759200 from the Numbermatics database.
Names of 138470353006759200
- Cardinal: 138470353006759200 can be written as One hundred thirty-eight quadrillion, four hundred seventy trillion, three hundred fifty-three billion, six million, seven hundred fifty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.384703530067592 × 1017
Factors of 138470353006759200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 2858925791
Divisors of 138470353006759200
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 50 56 60 62 63 70 72 75 80 84 90 93 96 100 105 112 120 124 126 140 144 150 155 160 168 175 180 186 200 210 217 224 225 240 248 252 279 280 288 300 310 315 336 350 360 372 400 420 434 450 465 480 496 504 525 558 560 600 620 630 651 672 700 720 744 775 800 840 868 900 930 961 992 1008 1050 1085 1116 1120 1200 1240 1260 1302 1395 1400 1440 1488 1550 1575 1680 1736 1800 1860 1922 1953 2016 2100 2170 2232 2325 2400 2480 2520 2604 2790 2800 2883 2976 3100 3150 3255 3360 3472 3600 3720 3844 3906 4200 4340 4464 4650 4805 4960 5040 5208 5425 5580 5600 5766 6200 6300 6510 6727 6944 6975 7200 7440 7688 7812 8400 8649 8680 8928 9300 9610 9765 10080 10416 10850 11160 11532 12400 12600 13020 13454 13950 14415 14880 15376 15624 16275 16800 17298 17360 18600 19220 19530 20181 20832 21700 22320 23064 24025 24800 25200 26040 26908 27900 28830 30752 31248 32550 33635 34596 34720 37200 38440 39060 40362 43245 43400 44640 46128 48050 48825 50400 52080 53816 55800 57660 60543 62496 65100 67270 69192 72075 74400 76880 78120 80724 86490 86800 92256 96100 97650 100905 104160 107632 111600 115320 121086 130200 134540 138384 144150 153760 156240 161448 168175 172980 173600 192200 195300 201810 215264 216225 223200 230640 242172 260400 269080 276768 288300 302715 312480 322896 336350 345960 384400 390600 403620 432450 461280 484344 504525 520800 538160 576600 605430 645792 672700 691920 768800 781200 807240 864900 968688 1009050 1076320 1153200 1210860 1345400 1383840 1513575 1562400 1614480 1729800 1937376 2018100 2306400 2421720 2690800 3027150 3228960 3459600 4036200 4843440 5381600 6054300 6919200 8072400 9686880 12108600 16144800 24217200 48434400 2858925743 5717851486 8576777229 11435702972 14294628715 17153554458 20012480201 22871405944 25730331687 28589257430 34307108916 40024960402 42883886145 45742811888 51460663374 57178514860 60037440603 68614217832 71473143575 80049920804 85767772290 88626698033 91485623776 100062401005 102921326748 114357029720 120074881206 128651658435 137228435664 142946287150 160099841608 171535544580 177253396066 180112321809 200124802010 205842653496 214419430725 228714059440 240149762412 257303316870 265880094099 274456871328 285892574300 300187203015 320199683216 343071089160 354506792132 360224643618 400249604020 411685306992 428838861450 443133490165 457428118880 480299524824 500312005025 514606633740 531760188198 571785148600 600374406030 620386886231 640399366432 643258292175 686142178320 709013584264 720449287236 797640282297 800499208040 823370613984 857677722900 886266980330 900561609045 960599049648 1000624010050 1029213267480 1063520376396 1143570297200 1200748812060 1240773772462 1286516584350 1329400470495 1372284356640 1418027168528 1440898574472 1500936015075 1595280564594 1600998416080 1715355445800 1772533960660 1801123218090 1861160658693 1921198099296 2001248020100 2058426534960 2127040752792 2215667450825 2287140594400 2401497624120 2481547544924 2573033168700 2658800940990 2747427639023 2836054337056 2881797148944 3001872030150 3101934431155 3190561129188 3201996832160 3430710891600 3545067921320 3602246436180 3722321317386 3988201411485 4002496040200 4116853069920 4254081505584 4431334901650 4502808045225 4802995248240 4963095089848 5146066337400 5317601881980 5494855278046 5583481976079 5763594297888 6003744060300 6203868862310 6381122258376 6647002352475 6861421783200 7090135842640 7204492872360 7444642634772 7976402822970 8004992080400 8242282917069 8508163011168 8862669803300 9005616090450 9305803293465 9605990496480 9926190179696 10292132674800 10635203763960 10989710556092 11166963952158 12007488120600 12407737724620 12762244516752 13294004704950 13737138195115 14180271685280 14408985744720 14889285269544 15509672155775 15952805645940 16009984160800 16484565834138 17725339606600 18011232180900 18611606586930 19231993473161 19852380359392 19941007057425 20584265349600 21270407527920 21979421112184 22333927904316 24014976241200 24726848751207 24815475449240 25524489033504 26588009409900 27474276390230 27917409880395 28817971489440 29778570539088 31019344311550 31905611291880 32969131668276 35450679213200 36022464361800 37223213173860 38463986946322 39882014114850 41211414585345 42540815055840 43958842224368 44667855808632 46529016467325 48029952482400 49453697502414 49630950898480 53176018819800 54948552780460 55834819760790 57695980419483 59557141078176 62038688623100 63811222583760 65938263336552 68685690975575 70901358426400 72044928723600 74446426347720 76927973892644 79764028229700 82422829170690 87917684448736 89335711617264 93058032934650 96159967365805 98907395004828 99261901796960 106352037639600 109897105560920 111669639521580 115391960838966 123634243756035 124077377246200 127622445167520 131876526673104 137371381951150 139587049401975 144089857447200 148892852695440 153855947785288 159528056459400 164845658341380 173087941258449 178671423234528 186116065869300 192319934731610 197814790009656 206057072926725 212704075279200 219794211121840 223339279043160 230783921677932 247268487512070 248154754492400 263753053346208 274742763902300 279174098803950 288479902097415 297785705390880 307711895570576 319056112918800 329691316682760 346175882516898 372232131738600 384639869463220 395629580019312 412114145853450 439588422243680 446678558086320 461567843355864 480799836829025 494536975024140 496309508984800 549485527804600 558348197607900 576959804194830 615423791141152 618171218780175 638112225837600 659382633365520 692351765033796 744464263477200 769279738926440 791259160038624 824228291706900 865439706292245 893357116172640 923135686711728 961599673658050 989073950048280 1098971055609200 1116696395215800 1153919608389660 1236342437560350 1318765266731040 1384703530067592 1442399510487075 1488928526954400 1538559477852880 1648456583413800 1730879412584490 1846271373423456 1923199347316100 1978147900096560 2197942111218400 2233392790431600 2307839216779320 2472684875120700 2769407060135184 2884799020974150 3077118955705760 3296913166827600 3461758825168980 3846398694632200 3956295800193120 4327198531461225 4466785580863200 4615678433558640 4945369750241400 5538814120270368 5769598041948300 6593826333655200 6923517650337960 7692797389264400 8654397062922450 9231356867117280 9890739500482800 11539196083896600 13847035300675920 15385594778528800 17308794125844900 19781479000965600 23078392167793200 27694070601351840 34617588251689800 46156784335586400 69235176503379600 138470353006759200
- Sum of all divisors σ(n): 576617350835320704
- Sum of proper divisors (its aliquot sum) s(n): 438146997828561504
- 138470353006759200 is an abundant number, because the sum of its proper divisors (438146997828561504) is greater than itself. Its abundance is 299676644821802304
Bases of 138470353006759200
- Binary: 1111010111111001000001101011010101110010000001101001000002
- Hexadecimal: 0x1EBF20D6AE40D20
- Base-36: 11VFN5ZPNNS0
Squares and roots of 138470353006759200
- 138470353006759200 squared (1384703530067592002) is 19174038661816506620040886784640000
- 138470353006759200 cubed (1384703530067592003) is 2655035902066980455026848599048316139874738688000000
-
The
square root of 138470353006759200 is 372116047.7683799113 -
The
cube root of 138470353006759200 is 517351.3656009725
Scales and comparisons
How big is 138470353006759200?- 138,470,353,006,759,200 seconds is equal to 4,402,928,908 years, 35 weeks, 6 days, 10 hours.
-
To count from 1 to 138,470,353,006,759,200 would take you about thirteen billion, two hundred eight million, seven hundred eighty-six thousand, seven hundred twenty-six 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 138470353006759200 cubic inches would be around 43112.6 feet tall.
Recreational maths with 138470353006759200
- 138470353006759200 backwards is 002957600353074831
- 138470353006759200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138470353006759200's digits is 63
- More coming soon!
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The information we have on file for 138470353006759200 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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