137953616841920
137,953,616,841,920 is an even composite number composed of seven prime numbers multiplied together.
137953616841920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 137953616841920:
26 × 5 × 11 × 17 × 312 × 757 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 17 × 31 × 31 × 757 × 3169)See below for interesting mathematical facts about the number 137953616841920 from the Numbermatics database.
Names of 137953616841920
- Cardinal: 137953616841920 can be written as One hundred thirty-seven trillion, nine hundred fifty-three billion, six hundred sixteen million, eight hundred forty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3795361684192 × 1014
Factors of 137953616841920
Divisors of 137953616841920
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 31 32 34 40 44 55 62 64 68 80 85 88 110 124 136 155 160 170 176 187 220 248 272 310 320 340 341 352 374 440 496 527 544 620 680 682 704 748 757 880 935 961 992 1054 1088 1240 1360 1364 1496 1514 1705 1760 1870 1922 1984 2108 2480 2635 2720 2728 2992 3028 3169 3410 3520 3740 3785 3844 4216 4805 4960 5270 5440 5456 5797 5984 6056 6338 6820 7480 7570 7688 8327 8432 9610 9920 10540 10571 10912 11594 11968 12112 12676 12869 13640 14960 15140 15376 15845 16337 16654 16864 19220 21080 21142 21824 23188 23467 24224 25352 25738 27280 28985 29920 30280 30752 31690 32674 33308 33728 34859 38440 41635 42160 42284 46376 46934 48448 50704 51476 52855 53873 54560 57970 59840 60560 61504 63380 64345 65348 66616 69718 76880 81685 83270 84320 84568 92752 93868 98239 101408 102952 105710 107746 109120 115940 117335 121120 126760 128690 130696 133232 139436 141559 153760 163370 166540 168640 169136 174295 179707 185504 187736 196478 202816 205904 211420 215492 231880 234670 242240 253520 257380 258137 261392 266464 269365 278872 283118 307520 326740 333080 338272 348590 359414 371008 375472 392956 398939 411808 422840 430984 463760 469340 491195 507040 514760 516274 522784 532928 538730 557744 566236 592603 653480 666160 676544 697180 707795 718828 727477 750944 785912 797878 823616 845680 861968 898535 927520 938680 982390 1014080 1029520 1032548 1045568 1077460 1080629 1115488 1132472 1185206 1290685 1306960 1332320 1394360 1415590 1437656 1454954 1501888 1571824 1595756 1670063 1691360 1723936 1797070 1855040 1877360 1964780 1994695 2059040 2065096 2154920 2161258 2230976 2264944 2370412 2398933 2581370 2613920 2664640 2788720 2831180 2875312 2909908 2963015 3045409 3143648 3191512 3340126 3382720 3447872 3594140 3637385 3754720 3929560 3989390 4118080 4130192 4309840 4322516 4388329 4529888 4740824 4797866 5162740 5227840 5403145 5577440 5662360 5750624 5819816 5926030 6090818 6287296 6383024 6680252 7188280 7274770 7509440 7859120 7978780 8002247 8260384 8350315 8619680 8645032 8776658 9059776 9481648 9595732 10325480 10806290 11154880 11324720 11501248 11639632 11852060 11994665 12181636 12367109 12766048 13360504 14376560 14549540 15227045 15718240 15957560 16004494 16520768 16700630 17239360 17290064 17553316 18370693 18963296 19191464 20650960 21612580 21941645 22649440 23279264 23704120 23989330 24363272 24734218 25532096 26388263 26721008 28753120 29099080 30454090 31436480 31915120 32008988 33401260 33499499 34580128 35106632 36741386 37926592 38382928 40011235 40781861 41301920 43225160 43883290 45298880 46558528 47408240 47978660 48726544 49468436 51771953 52776526 53442016 57506240 58198160 60908180 61835545 63830240 64017976 66802520 66998998 69160256 70213264 73482772 74366923 76765856 80022470 81563722 82603840 86450320 87766580 91853465 94816480 95957320 97453088 98936872 103543906 105553052 106884032 116396320 121816360 123671090 127660480 128035952 131941315 133605040 133997996 136038199 140426528 146965544 148733846 153531712 160044940 163127444 167497495 172900640 175533160 183706930 189632960 191914640 194906176 197873744 203909305 207087812 211106104 232792640 243632720 247342180 256071904 258859765 263882630 267210080 267995992 272076398 280853056 293931088 297467692 320089880 326254888 334994990 345801280 351066320 367413860 371834615 383829280 395747488 407818610 414175624 422212208 448600471 487265440 494684360 512143808 517719530 527765260 534420160 535991984 544152796 569491483 587862176 594935384 640179760 652509776 669989980 680190995 702132640 734827720 743669230 767658560 791494976 815637220 818036153 828351248 844424416 897200942 974530880 989368720 1035439060 1055530520 1071983968 1088305592 1138982966 1175724352 1189870768 1264237691 1280359520 1305019552 1339979960 1360381990 1404265280 1469655440 1487338460 1631274440 1636072306 1656702496 1688848832 1794401884 1978737440 2070878120 2111061040 2143967936 2176611184 2243002355 2277965932 2305374613 2379741536 2528475382 2560719040 2610039104 2679959920 2720763980 2847457415 2939310880 2974676920 3262548880 3272144612 3313404992 3588803768 3957474880 4090180765 4141756240 4222122080 4353222368 4486004710 4555931864 4610749226 4759483072 5056950764 5359919840 5441527960 5694914830 5878621760 5949353840 6321188455 6525097760 6544289224 7177607536 8180361530 8283512480 8444244160 8706444736 8972009420 9111863728 9221498452 10113901528 10719839680 10883055920 11389829660 11526873065 11898707680 12642376910 13050195520 13088578448 13906614601 14355215072 16360723060 16567024960 17944018840 18223727456 18442996904 20227803056 21766111840 22779659320 23053746130 23797415360 25284753820 25359120743 26177156896 27813229202 28710430144 32721446120 35888037680 36447454912 36885993808 39191368421 40455606112 43532223680 45559318640 46107492260 50569507640 50718241486 52354313792 55626458404 65442892240 69533073005 71776075360 73771987616 78382736842 80911212224 91118637280 92214984520 101139015280 101436482972 111252916808 126795603715 130885784480 139066146010 143552150720 147543975232 156765473684 182237274560 184429969040 195956842105 202278030560 202872965944 222505833616 253591207430 261771568960 278132292020 313530947368 368859938080 391913684210 404556061120 405745931888 431105052631 445011667232 507182414860 556264584040 627061894736 737719876160 783827368420 811491863776 862210105262 890023334464 1014364829720 1112529168080 1254123789472 1567654736840 1622983727552 1724420210524 2028729659440 2155525263155 2225058336160 2508247578944 3135309473680 3448840421048 4057459318880 4311050526310 4450116672320 6270618947360 6897680842096 8114918637760 8622101052620 12541237894720 13795361684192 17244202105240 27590723368384 34488404210480 68976808420960 137953616841920
- Sum of all divisors σ(n): 392723092388160
- Sum of proper divisors (its aliquot sum) s(n): 254769475546240
- 137953616841920 is an abundant number, because the sum of its proper divisors (254769475546240) is greater than itself. Its abundance is 116815858704320
Bases of 137953616841920
- Binary: 111110101110111110101000101001111001100110000002
- Hexadecimal: 0x7D77D453CCC0
- Base-36: 1CWF0LLZNK
Squares and roots of 137953616841920
- 137953616841920 squared (1379536168419202) is 19031200399767273474269286400
- 137953616841920 cubed (1379536168419203) is 2625422927991289174808393900076420005888000
-
The
square root of 137953616841920 is 11745365.7602443355 -
The
cube root of 137953616841920 is 51670.7022156301
Scales and comparisons
How big is 137953616841920?- 137,953,616,841,920 seconds is equal to 4,386,498 years, 15 weeks, 3 days, 2 hours, 45 minutes, 20 seconds.
-
To count from 1 to 137,953,616,841,920 would take you about ten million, nine hundred sixty-six thousand, two hundred forty-five 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 137953616841920 cubic inches would be around 4305.9 feet tall.
Recreational maths with 137953616841920
- 137953616841920 backwards is 029148616359731
- The number of decimal digits it has is: 15
- The sum of 137953616841920's digits is 65
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137953616841920 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 137953616841920 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/137953616841920/
Chicago style:
Numbermatics. 2024. "Number 137953616841920 - Facts about the integer". https://numbermatics.com/n/137953616841920/
The information we have on file for 137953616841920 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!
Keywords: Divisors of 137953616841920, math, Factors of 137953616841920, curriculum, school, college, exams, university, Prime factorization of 137953616841920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred fifty-three billion, six hundred sixteen million, eight hundred forty-one thousand, nine hundred twenty.