137397557197824
137,397,557,197,824 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137397557197824 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1408 divisors.
137397557197824 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 137397557197824:
210 × 3 × 7 × 11 × 23 × 223 × 269 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 23 × 223 × 269 × 421)See below for interesting mathematical facts about the number 137397557197824 from the Numbermatics database.
Names of 137397557197824
- Cardinal: 137397557197824 can be written as One hundred thirty-seven trillion, three hundred ninety-seven billion, five hundred fifty-seven million, one hundred ninety-seven thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.37397557197824 × 1014
Factors of 137397557197824
Divisors of 137397557197824
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 32 33 42 44 46 48 56 64 66 69 77 84 88 92 96 112 128 132 138 154 161 168 176 184 192 223 224 231 253 256 264 269 276 308 322 336 352 368 384 421 446 448 462 483 506 512 528 538 552 616 644 669 672 704 736 759 768 807 842 892 896 924 966 1012 1024 1056 1076 1104 1232 1263 1288 1338 1344 1408 1472 1518 1536 1561 1614 1684 1771 1784 1792 1848 1883 1932 2024 2112 2152 2208 2453 2464 2526 2576 2676 2688 2816 2944 2947 2959 3036 3072 3122 3228 3368 3542 3568 3584 3696 3766 3864 4048 4224 4304 4416 4631 4683 4906 4928 5052 5129 5152 5313 5352 5376 5632 5649 5888 5894 5918 6072 6187 6244 6456 6736 7084 7136 7168 7359 7392 7532 7728 8096 8448 8608 8832 8841 8877 9262 9366 9683 9812 9856 10104 10258 10304 10626 10704 10752 11264 11298 11776 11788 11836 12144 12374 12488 12912 13472 13893 14168 14272 14718 14784 15064 15387 15456 16192 16896 17171 17216 17664 17682 17754 18524 18561 18732 19366 19624 19712 20208 20516 20608 20713 21252 21408 21504 22596 23552 23576 23672 24288 24748 24976 25824 26944 27786 28336 28544 29049 29436 29568 30128 30774 30912 32384 32417 33792 34342 34432 35328 35364 35508 35903 37048 37122 37464 38732 39248 39424 40416 41032 41216 41426 42504 42816 43309 45192 47152 47344 48576 49496 49952 51513 51648 53888 55572 56419 56672 57088 58098 58872 59136 59987 60256 61548 61824 62139 64768 64834 67781 68057 68684 68864 70656 70728 71016 71806 74096 74244 74928 77464 78496 78848 80832 82064 82432 82852 85008 85632 86618 90384 93883 94304 94688 97152 97251 98992 99904 103026 103296 106513 107709 107776 111144 112838 113249 113344 114176 116196 117744 118272 119974 120512 123096 123648 124278 129536 129668 129927 135562 136114 137368 137728 141456 142032 143612 148192 148488 149856 154928 156992 161664 164128 164864 165704 169257 170016 171264 173236 179961 180768 187766 188608 189376 194304 194502 197984 199808 203343 204171 206052 206592 213026 215418 215552 222288 225676 226498 226688 228352 232392 235488 236544 239948 241024 246192 247296 248556 259072 259336 259854 271124 272228 274736 275456 281649 282912 284064 287224 296384 296976 299712 309856 313984 319539 323328 328256 331408 338514 339747 340032 342528 346472 359922 361536 375532 377216 378752 388608 389004 394933 395968 399616 406686 408342 412104 413184 419909 426052 430836 431104 444576 451352 452996 453376 464784 470976 476399 479896 482048 492384 494592 497112 518672 519708 542248 544456 549472 563298 565824 568128 574448 592768 593952 599424 619712 627968 639078 646656 656512 657181 659857 662816 677028 679494 680064 685056 692944 719844 723072 745591 751064 754432 757504 777216 778008 789866 791936 792743 799232 813372 816684 824208 826368 839818 852104 861672 889152 902704 905992 906752 929568 941952 952798 959792 964096 984768 994224 1032713 1037344 1039416 1084496 1088912 1098944 1126596 1131648 1136256 1148896 1184799 1185536 1187904 1198848 1239424 1245739 1255936 1259727 1278156 1293312 1313024 1314362 1319714 1325632 1354056 1358988 1360128 1379701 1385888 1429197 1439688 1446144 1491182 1502128 1508864 1515008 1556016 1579732 1583872 1585486 1598464 1626744 1633368 1648416 1679636 1704208 1723344 1778304 1805408 1811984 1813504 1859136 1883904 1905596 1919584 1928192 1969536 1971543 1979571 1988448 2065426 2074688 2078832 2159309 2168992 2177824 2197888 2236773 2253192 2263296 2272512 2297792 2369598 2371072 2375808 2378229 2397696 2478848 2491478 2511872 2519454 2556312 2604727 2626048 2628724 2639428 2651264 2708112 2717976 2720256 2759402 2771776 2858394 2879376 2892288 2982364 3004256 3017728 3030016 3098139 3112032 3159464 3167744 3170972 3253488 3266736 3296832 3359272 3408416 3446688 3556608 3610816 3623968 3718272 3737217 3767808 3811192 3839168 3939072 3943086 3959142 3976896 4130852 4139103 4149376 4157664 4318618 4337984 4355648 4395776 4473546 4506384 4526592 4545024 4595584 4618999 4739196 4742144 4751616 4756458 4795392 4957696 4982956 5038908 5112624 5209454 5252096 5257448 5278856 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3232579456 3316698624 3333597564 3348546432 3399583264 3485124726 3500753088 3547391232 3667455616 3701243392 3708636288 3826910208 3869481728 3885238016 3889197158 3990403032 4000860672 4065978847 4238441472 4242760536 4444796752 4464728576 4560460608 4646832968 4667670784 4729854976 4813535496 4848869184 4944848384 5099374896 5320537376 5501183424 5551865088 5657014048 5804222592 5827857024 5833795737 6080614144 6389395331 6418047328 6465158912 6633397248 6667195128 6697092864 6799166528 6970249452 7001506176 7094782464 7334911232 7402486784 7417272576 7738963456 7770476032 7778394316 7980806064 8001721344 8131957694 8485521072 8889593504 8929457152 9120921216 9293665936 9335341568 9627070992 9697738368 9889696768 10198749792 10641074752 11002366848 11103730176 11314028096 11608445184 11655714048 11667591474 12161228288 12197936541 12778790662 12836094656 12930317824 13334390256 13394185728 13598333056 13940498904 14003012352 14189564928 14669822464 14834545152 15477926912 15540952064 15556788632 15961612128 16263915388 16971042144 17779187008 18241842432 18587331872 18670683136 19168185993 19254141984 19395476736 20397499584 21282149504 22004733696 22207460352 22628056192 23216890368 23311428096 23335182948 24322456576 24395873082 25557581324 25672189312 25860635648 26668780512 26788371456 27196666112 27880997808 28006024704 29339644928 29669090304 31113577264 31923224256 32527830776 33942084288 35558374016 36483684864 37174663744 38336371986 38508283968 38790953472 40794999168 42564299008 44009467392 44725767317 45256112384 46433780736 46622856192 46670365896 48791746164 51115162648 51344378624 53337561024 54393332224 55761995616 56012049408 62227154528 63846448512 65055661552 67884168576 71116748032 72967369728 74349327488 76672743972 77016567936 77581906944 81589998336 85128598016 88018934784 89451534634 90512224768 93340731792 97583492328 102230325296 102688757248 106675122048 108786664448 111523991232 124454309056 127692897024 130111323104 134177301951 135768337152 142233496064 148698654976 153345487944 154033135872 163179996672 170257196032 178903069268 181024449536 186681463584 195166984656 204460650592 205377514496 213350244096 223047982464 248908618112 255385794048 260222646208 268354603902 271536674304 284466992128 297397309952 306690975888 308066271744 326359993344 357806138536 373362927168 390333969312 408921301184 426700488192 446095964928 497817236224 510771588096 520445292416 536709207804 543073348608 594794619904 613381951776 616132543488 715612277072 746725854336 780667938624 817842602368 853400976384 892191929856 995634472448 1040890584832 1073418415608 1226763903552 1431224554144 1493451708672 1561335877248 1635685204736 1784383859712 1991268944896 2081781169664 2146836831216 2453527807104 2862449108288 2986903417344 3122671754496 3271370409472 4163562339328 4293673662432 4907055614208 5724898216576 5973806834688 6245343508992 6542740818944 8587347324864 9814111228416 11449796433152 12490687017984 17174694649728 19628222456832 22899592866304 34349389299456 45799185732608 68698778598912 137397557197824
- Sum of all divisors σ(n): 481486973829120
- Sum of proper divisors (its aliquot sum) s(n): 344089416631296
- 137397557197824 is an abundant number, because the sum of its proper divisors (344089416631296) is greater than itself. Its abundance is 206691859433472
Bases of 137397557197824
- Binary: 111110011110110010111001001011011111100000000002
- Hexadecimal: 0x7CF65C96FC00
- Base-36: 1CPBKE20AO
Squares and roots of 137397557197824
- 137397557197824 squared (1373975571978242) is 18878088723929317671070334976
- 137397557197824 cubed (1373975571978243) is 2593803275231674712404586939835871578292224
-
The
square root of 137397557197824 is 11721670.4098786193 -
The
cube root of 137397557197824 is 51601.1844466293
Scales and comparisons
How big is 137397557197824?- 137,397,557,197,824 seconds is equal to 4,368,817 years, 16 weeks, 4 days, 14 hours, 30 minutes, 24 seconds.
-
To count from 1 to 137,397,557,197,824 would take you about ten million, nine hundred twenty-two thousand and forty-three 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 137397557197824 cubic inches would be around 4300.1 feet tall.
Recreational maths with 137397557197824
- 137397557197824 backwards is 428791755793731
- The number of decimal digits it has is: 15
- The sum of 137397557197824's digits is 78
- More coming soon!
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"Number 137397557197824 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 137397557197824 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/137397557197824/
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The information we have on file for 137397557197824 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 137397557197824, math, Factors of 137397557197824, curriculum, school, college, exams, university, Prime factorization of 137397557197824, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred ninety-seven billion, five hundred fifty-seven million, one hundred ninety-seven thousand, eight hundred twenty-four.