137845334016
137,845,334,016 is an even composite number composed of five prime numbers multiplied together.
137845334016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 137845334016:
213 × 32 × 133 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 23 × 37)See below for interesting mathematical facts about the number 137845334016 from the Numbermatics database.
Names of 137845334016
- Cardinal: 137845334016 can be written as One hundred thirty-seven billion, eight hundred forty-five million, three hundred thirty-four thousand and sixteen.
Scientific notation
- Scientific notation: 1.37845334016 × 1011
Factors of 137845334016
Divisors of 137845334016
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 37 39 46 48 52 64 69 72 74 78 92 96 104 111 117 128 138 144 148 156 169 184 192 207 208 222 234 256 276 288 296 299 312 333 338 368 384 414 416 444 468 481 507 512 552 576 592 598 624 666 676 736 768 828 832 851 888 897 936 962 1014 1024 1104 1152 1184 1196 1248 1332 1352 1443 1472 1521 1536 1656 1664 1702 1776 1794 1872 1924 2028 2048 2197 2208 2304 2368 2392 2496 2553 2664 2691 2704 2886 2944 3042 3072 3312 3328 3404 3552 3588 3744 3848 3887 4056 4096 4329 4394 4416 4608 4736 4784 4992 5106 5328 5382 5408 5772 5888 6084 6144 6253 6591 6624 6656 6808 7104 7176 7488 7659 7696 7774 8112 8192 8658 8788 8832 9216 9472 9568 9984 10212 10656 10764 10816 11063 11544 11661 11776 12168 12288 12506 13182 13248 13312 13616 14208 14352 14976 15318 15392 15548 16224 17316 17576 17664 18432 18759 18944 19136 19773 19968 20424 21312 21528 21632 22126 23088 23322 23552 24336 24576 25012 26364 26496 26624 27232 28416 28704 29952 30636 30784 31096 32448 33189 34632 34983 35152 35328 36864 37518 37888 38272 39546 39936 40848 42624 43056 43264 44252 46176 46644 47104 48672 50024 50531 52728 52992 53248 54464 56277 56832 57408 59904 61272 61568 62192 64896 66378 69264 69966 70304 70656 73728 75036 75776 76544 79092 79872 81289 81696 85248 86112 86528 88504 92352 93288 94208 97344 99567 100048 101062 105456 105984 106496 108928 112554 113664 114816 119808 122544 123136 124384 129792 132756 138528 139932 140608 141312 143819 150072 151552 151593 153088 158184 159744 162578 163392 170496 172224 173056 177008 184704 186576 188416 194688 199134 200096 202124 210912 211968 217856 225108 227328 229632 239616 243867 245088 246272 248768 259584 265512 277056 279864 281216 282624 287638 300144 303104 303186 306176 316368 319488 325156 326784 340992 344448 346112 354016 369408 373152 389376 398268 400192 404248 421824 423936 431457 435712 450216 454656 454779 459264 479232 487734 490176 492544 497536 519168 531024 554112 559728 562432 565248 575276 600288 606372 612352 632736 650312 653568 681984 688896 692224 708032 731601 738816 746304 778752 796536 800384 808496 843648 847872 862914 871424 900432 909312 909558 918528 958464 975468 980352 985088 995072 1038336 1062048 1108224 1119456 1124864 1150552 1200576 1212744 1224704 1265472 1294371 1300624 1307136 1363968 1377792 1384448 1416064 1463202 1477632 1492608 1557504 1593072 1600768 1616992 1687296 1695744 1725828 1742848 1800864 1819116 1837056 1869647 1950936 1960704 1970176 1990144 2076672 2124096 2216448 2238912 2249728 2301104 2401152 2425488 2449408 2530944 2588742 2601248 2614272 2727936 2755584 2832128 2926404 2955264 2985216 3115008 3186144 3201536 3233984 3374592 3451656 3485696 3601728 3638232 3674112 3739294 3901872 3921408 3940352 3980288 4153344 4248192 4432896 4477824 4499456 4602208 4802304 4850976 5061888 5177484 5202496 5228544 5511168 5608941 5664256 5852808 5910528 5970432 6230016 6372288 6403072 6467968 6749184 6903312 6971392 7203456 7276464 7348224 7478588 7803744 7842816 7960576 8496384 8865792 8955648 8998912 9204416 9604608 9701952 10123776 10354968 10404992 10457088 11022336 11217882 11328512 11705616 11821056 11940864 12460032 12744576 12806144 12935936 13498368 13806624 14406912 14552928 14957176 15607488 15685632 15921152 16826823 16992768 17731584 17911296 17997824 18408832 19209216 19403904 20247552 20709936 20809984 20914176 22044672 22435764 22657024 23411232 23881728 25489152 25612288 25871872 26996736 27613248 28813824 29105856 29914352 31214976 31371264 31842304 33653646 33985536 35463168 35822592 36817664 38418432 38807808 40495104 41419872 41619968 44871528 45314048 46822464 47763456 50978304 51224576 51743744 53993472 55226496 57627648 58211712 59828704 62429952 62742528 67307292 67971072 71645184 73635328 76836864 77615616 80990208 82839744 83239936 89743056 90628096 93644928 95526912 101956608 103487488 110452992 115255296 116423424 119657408 124859904 134614584 135942144 143290368 147270656 153673728 155231232 161980416 165679488 166479872 179486112 187289856 203913216 206974976 220905984 230510592 232846848 239314816 249719808 269229168 271884288 286580736 294541312 310462464 331358976 332959744 358972224 374579712 407826432 413949952 441811968 461021184 465693696 478629632 499439616 538458336 589082624 620924928 662717952 665919488 717944448 749159424 815652864 883623936 931387392 957259264 998879232 1076916672 1178165248 1241849856 1325435904 1435888896 1498318848 1767247872 1862774784 1914518528 1997758464 2153833344 2650871808 2871777792 2996637696 3534495744 3725549568 3829037056 4307666688 5301743616 5743555584 5993275392 7658074112 8615333376 10603487232 11487111168 15316148224 17230666752 22974222336 34461333504 45948444672 68922667008 137845334016
- Sum of all divisors σ(n): 462283698240
- Sum of proper divisors (its aliquot sum) s(n): 324438364224
- 137845334016 is an abundant number, because the sum of its proper divisors (324438364224) is greater than itself. Its abundance is 186593030208
Bases of 137845334016
- Binary: 100000000110000011100011100000000000002
- Hexadecimal: 0x201838E000
- Base-36: 1RBPJWG0
Squares and roots of 137845334016
- 137845334016 squared (1378453340162) is 19001336109982606688256
- 137845334016 cubed (1378453340163) is 2619245522830834530893003904516096
-
The
square root of 137845334016 is 371275.2806422749 -
The
cube root of 137845334016 is 5165.7179520315
Scales and comparisons
How big is 137845334016?- 137,845,334,016 seconds is equal to 4,383 years, 2 weeks, 6 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,845,334,016 would take you about eight thousand, seven hundred sixty-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 137845334016 cubic inches would be around 430.5 feet tall.
Recreational maths with 137845334016
- 137845334016 backwards is 610433548731
- The number of decimal digits it has is: 12
- The sum of 137845334016's digits is 45
- 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 137845334016 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 137845334016 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/137845334016/
Chicago style:
Numbermatics. 2024. "Number 137845334016 - Facts about the integer". https://numbermatics.com/n/137845334016/
The information we have on file for 137845334016 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 137845334016, math, Factors of 137845334016, curriculum, school, college, exams, university, Prime factorization of 137845334016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, eight hundred forty-five million, three hundred thirty-four thousand and sixteen.