138198565440
138,198,565,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138198565440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
138198565440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138198565440:
26 × 32 × 5 × 13 × 23 × 312 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 23 × 31 × 31 × 167)See below for interesting mathematical facts about the number 138198565440 from the Numbermatics database.
Names of 138198565440
- Cardinal: 138198565440 can be written as One hundred thirty-eight billion, one hundred ninety-eight million, five hundred sixty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3819856544 × 1011
Factors of 138198565440
Divisors of 138198565440
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 30 31 32 36 39 40 45 46 48 52 60 62 64 65 69 72 78 80 90 92 93 96 104 115 117 120 124 130 138 144 155 156 160 167 180 184 186 192 195 207 208 230 234 240 248 260 276 279 288 299 310 312 320 334 345 360 368 372 390 403 414 416 460 465 468 480 496 501 520 552 558 576 585 598 620 624 668 690 713 720 736 744 780 806 828 832 835 897 920 930 936 960 961 992 1002 1035 1040 1104 1116 1170 1196 1209 1240 1248 1336 1380 1395 1426 1440 1472 1488 1495 1503 1560 1612 1656 1670 1794 1840 1860 1872 1922 1984 2004 2015 2070 2080 2139 2171 2208 2232 2340 2392 2418 2480 2496 2505 2672 2691 2760 2790 2852 2880 2883 2976 2990 3006 3120 3224 3312 3340 3565 3588 3627 3680 3720 3744 3841 3844 4008 4030 4140 4160 4278 4342 4416 4464 4485 4680 4784 4805 4836 4960 5010 5177 5344 5382 5520 5580 5704 5766 5952 5980 6012 6045 6240 6417 6448 6513 6624 6680 7130 7176 7254 7360 7440 7488 7515 7682 7688 8016 8060 8280 8556 8649 8684 8928 8970 9269 9360 9568 9610 9672 9920 10020 10354 10688 10695 10764 10855 11040 11160 11408 11523 11532 11960 12024 12090 12480 12493 12834 12896 13026 13248 13360 13455 14260 14352 14415 14508 14880 15030 15364 15376 15531 16032 16120 16560 17112 17298 17368 17856 17940 18135 18538 18720 19136 19205 19220 19344 19539 20040 20708 21390 21528 21710 22080 22103 22320 22816 23046 23064 23920 24048 24180 24986 25668 25792 25885 26052 26720 26910 27807 28520 28704 28830 29016 29760 30060 30728 30752 31062 32064 32085 32240 32565 33120 34224 34569 34596 34736 35880 36270 37076 37440 37479 38410 38440 38688 39078 40080 41416 42780 43056 43245 43420 44206 44640 45632 46092 46128 46345 46593 47840 48096 48360 49933 49972 51336 51770 52104 53440 53820 55614 57040 57408 57615 57660 58032 60120 61456 61504 62124 62465 64170 64480 65130 66240 66309 67301 68448 69138 69192 69472 71760 72540 74152 74958 76820 76880 77376 77655 78156 80160 82832 83421 85560 86112 86490 86840 88412 89280 92184 92256 92690 93186 95680 96192 96720 97695 99866 99944 102672 103540 104208 107640 110515 111228 112437 114080 115230 115320 116064 119071 120240 122912 124248 124930 128340 128960 130260 132618 134602 136896 138276 138384 138944 139035 143520 145080 148304 149799 149916 153640 153760 155310 156312 160320 160487 165664 166842 171120 172224 172845 172980 173680 176824 184368 184512 185380 186372 187395 193440 195390 198927 199732 199888 201903 205344 207080 208416 215280 221030 222456 224874 228160 230460 230640 232128 232965 238142 240480 245824 248496 249665 249860 256680 260520 265236 269204 276552 276768 278070 287040 287339 290160 296608 299598 299832 307280 307520 310620 312624 320974 331328 331545 333684 336505 342240 345690 345960 347360 353648 357213 368736 370760 372744 374790 386880 390780 397854 399464 399776 403806 410688 414160 416832 417105 430560 442060 444912 449397 449748 460920 461280 465930 476284 480960 481461 496992 499330 499720 513360 521040 530472 538408 553104 553536 556140 562185 574678 580320 593216 595355 599196 599664 605709 614560 621240 625248 641948 663090 667368 673010 684480 691380 691920 694720 707296 714426 737472 741520 745488 748995 749580 781560 795708 798928 799552 802435 807612 828320 834210 861120 862017 884120 889824 898794 899496 921840 922560 931860 952568 962922 993984 994635 998660 999440 1009515 1026720 1042080 1060944 1071639 1076816 1106208 1112280 1124370 1149356 1160640 1190710 1198392 1199328 1211418 1229120 1242480 1250496 1283896 1326180 1334736 1346020 1382760 1383840 1414592 1428852 1436695 1444383 1483040 1490976 1497990 1499160 1547923 1563120 1591416 1597856 1604870 1615224 1656640 1668420 1724034 1768240 1779648 1786065 1797588 1798992 1843680 1863720 1905136 1925844 1989270 1997320 1998880 2019030 2053440 2084160 2086331 2121888 2143278 2153632 2212416 2224560 2246985 2248740 2298712 2381420 2396784 2398656 2407305 2422836 2484960 2567792 2586051 2652360 2669472 2692040 2765520 2767680 2857704 2873390 2888766 2966080 2981952 2995980 2998320 3028545 3095846 3126240 3182832 3195712 3209740 3230448 3336840 3448068 3536480 3572130 3595176 3597984 3687360 3691201 3727440 3810272 3851688 3978540 3994640 3997760 4038060 4172662 4243776 4286556 4307264 4310085 4449120 4493970 4497480 4597424 4643769 4762840 4793568 4814610 4845672 4969920 5135584 5172102 5304720 5338944 5358195 5384080 5531040 5715408 5746780 5777532 5991960 5996640 6057090 6191692 6252480 6258993 6365664 6419480 6460896 6673680 6896136 7072960 7144260 7190352 7195968 7221915 7382402 7454880 7620544 7703376 7739615 7957080 7989280 8076120 8345324 8573112 8620170 8898240 8987940 8994960 9194848 9287538 9525680 9587136 9629220 9691344 10271168 10344204 10431655 10609440 10716390 10768160 11062080 11073603 11430816 11493560 11555064 11983920 11993280 12114180 12383384 12517986 12731328 12838960 12921792 12930255 13347360 13792272 13931307 14288520 14380704 14443830 14764804 14909760 15406752 15479230 15914160 15978560 16152240 16690648 17146224 17240340 17975880 17989920 18389696 18456005 18575076 18776979 19051360 19258440 19382688 20688408 20863310 21218880 21432780 21536320 22147206 22861632 22987120 23110128 23218845 23967840 24228360 24766768 25035972 25677920 25860510 26694720 27584544 27862614 28577040 28761408 28887660 29529608 30813504 30958460 31294965 31828320 32304480 33220809 33381296 34292448 34480680 35951760 35979840 36912010 37150152 37553958 38102720 38516880 38765376 41376816 41726620 42865560 44294412 45974240 46220256 46437690 47935680 47985613 48456720 49533536 50071944 51355840 51721020 55169088 55368015 55725228 57154080 57775320 59059216 61916920 62589930 63656640 64608960 66441618 66762592 68584896 68961360 69656535 71903520 73824020 74300304 75107916 77033760 82753632 83453240 85731120 88588824 91948480 92440512 92875380 93884895 95971226 96913440 99067072 100143888 103442040 110736030 111450456 114308160 115550640 118118432 123833840 125179860 132883236 133525184 137922720 139313070 143807040 143956839 147648040 148600608 150215832 154067520 165507264 166104045 166906480 171462240 177177648 185750760 187769790 191942452 193826880 200287776 206884080 221472060 222900912 231101280 236236864 239928065 247667680 250359720 265766472 275845440 278626140 287913678 295296080 297201216 300431664 332208090 333812960 342924480 354355296 371501520 375539580 383884904 400575552 413768160 431870517 442944120 445801824 462202560 479856130 495335360 500719440 531532944 557252280 575827356 590592160 600863328 664416180 667625920 708710592 719784195 743003040 751079160 767769808 827536320 863741034 885888240 891603648 959712260 1001438880 1063065888 1114504560 1151654712 1181184320 1201726656 1328832360 1439568390 1486006080 1502158320 1535539616 1727482068 1771776480 1919424520 2002877760 2126131776 2159352585 2229009120 2303309424 2657664720 2879136780 3004316640 3071079232 3454964136 3543552960 3838849040 4318705170 4458018240 4606618848 5315329440 5758273560 6008633280 6909928272 7677698080 8637410340 9213237696 10630658880 11516547120 13819856544 15355396160 17274820680 23033094240 27639713088 34549641360 46066188480 69099282720 138198565440
- Sum of all divisors σ(n): 555259670784
- Sum of proper divisors (its aliquot sum) s(n): 417061105344
- 138198565440 is an abundant number, because the sum of its proper divisors (417061105344) is greater than itself. Its abundance is 278862539904
Bases of 138198565440
- Binary: 100000001011010100011011000010010000002
- Hexadecimal: 0x202D46C240
- Base-36: 1RHJUVK0
Squares and roots of 138198565440
- 138198565440 squared (1381985654402) is 19098843489673962393600
- 138198565440 cubed (1381985654403) is 2639432771836025056116028637184000
-
The
square root of 138198565440 is 371750.6764486113 -
The
cube root of 138198565440 is 5170.1266069233
Scales and comparisons
How big is 138198565440?- 138,198,565,440 seconds is equal to 4,394 years, 14 weeks, 6 days, 10 hours, 24 minutes.
-
To count from 1 to 138,198,565,440 would take you about eight thousand, seven hundred 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 138198565440 cubic inches would be around 430.8 feet tall.
Recreational maths with 138198565440
- 138198565440 backwards is 044565891831
- The number of decimal digits it has is: 12
- The sum of 138198565440's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138198565440 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138198565440/
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The information we have on file for 138198565440 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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