137937218328
137,937,218,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137937218328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
137937218328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137937218328:
23 × 33 × 72 × 13 × 31 × 73 × 443
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 31 × 73 × 443)See below for interesting mathematical facts about the number 137937218328 from the Numbermatics database.
Names of 137937218328
- Cardinal: 137937218328 can be written as One hundred thirty-seven billion, nine hundred thirty-seven million, two hundred eighteen thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37937218328 × 1011
Factors of 137937218328
Divisors of 137937218328
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 31 36 39 42 49 52 54 56 62 63 72 73 78 84 91 93 98 104 108 117 124 126 146 147 156 168 182 186 189 196 216 217 219 234 248 252 273 279 292 294 312 351 364 372 378 392 403 434 438 441 443 468 504 511 546 558 584 588 637 651 657 702 728 744 756 806 819 837 868 876 882 886 936 949 1022 1092 1116 1176 1209 1274 1302 1314 1323 1329 1404 1512 1519 1533 1612 1638 1674 1736 1752 1764 1772 1898 1911 1953 1971 2044 2184 2232 2263 2418 2457 2548 2604 2628 2646 2658 2808 2821 2847 3038 3066 3101 3224 3276 3348 3528 3544 3577 3627 3796 3822 3906 3942 3987 4088 4526 4557 4599 4836 4914 5096 5208 5256 5292 5316 5642 5694 5733 5759 5859 6076 6132 6202 6552 6643 6696 6789 7154 7254 7592 7644 7812 7884 7974 8463 8541 9052 9114 9198 9303 9672 9828 10584 10632 10731 10881 11284 11388 11466 11518 11718 11961 12152 12264 12404 13286 13578 13671 13733 13797 14308 14508 15288 15624 15768 15841 15948 16926 17082 17199 17277 18104 18228 18396 18606 19656 19747 19929 20367 21462 21707 21762 22568 22776 22932 23036 23436 23922 24808 25389 25623 26572 27156 27342 27466 27594 27909 28616 29016 29419 31682 31896 32193 32339 33852 34164 34398 34554 36456 36792 37212 39494 39858 40313 40734 41013 41199 42924 43414 43524 45864 46072 46501 46872 47523 47844 50778 51246 51831 53144 54312 54684 54932 55188 55818 58838 59241 59787 61101 63364 64386 64678 65121 67704 68328 68796 69108 74424 76167 78988 79716 80626 81468 82026 82398 83727 85848 86828 87048 88257 93002 95046 95688 96131 96579 97017 101556 102492 103662 109368 109864 110376 110887 111636 117676 118482 119574 120939 122202 123597 126728 128772 129356 130242 137592 138216 139503 142569 152334 155493 157976 159432 161252 162936 164052 164796 167454 173656 176514 177723 178529 179361 186004 190092 192262 193158 194034 195363 203112 204984 205933 207324 221774 223272 226373 235352 236964 239148 241878 244404 247194 257544 258712 260484 264771 279006 282191 285138 288393 291051 304668 310986 322504 328104 329592 332661 334908 353028 355446 357058 358722 362817 370791 372008 380184 384524 386316 388068 390726 411866 414648 418509 420407 427707 443548 452746 473928 478296 483756 488808 494388 520968 529542 533169 535587 558012 564382 570276 576786 582102 586089 609336 617799 621972 665322 669816 672917 679119 706056 710892 714116 717444 725634 741582 769048 772632 776136 781452 794313 823732 837018 840814 846573 855414 865179 873153 887096 905492 967512 988776 997983 1002509 1059084 1066338 1071174 1088451 1116024 1128764 1140552 1153572 1164204 1172178 1235598 1243944 1249703 1255527 1261221 1330644 1345834 1358238 1421784 1428232 1434888 1441531 1451268 1483164 1562904 1584611 1588626 1606761 1647464 1674036 1681628 1693146 1710828 1730358 1746306 1810984 1853397 1995966 2005018 2018751 2037357 2118168 2132676 2142348 2176902 2257528 2307144 2328408 2344356 2471196 2499406 2511054 2522442 2539719 2595537 2661288 2691668 2716476 2883062 2902536 2942849 2966328 2993949 3007527 3169222 3177252 3213522 3348072 3363256 3386292 3421656 3460716 3492612 3706794 3749109 3783663 3991932 4010036 4037502 4074714 4265352 4284696 4324593 4353804 4688712 4753833 4820283 4942392 4998812 5022108 5044884 5079438 5191074 5383336 5432952 5560191 5766124 5885698 5987898 6015054 6056253 6112071 6338444 6354504 6427044 6772584 6921432 6985224 7017563 7413588 7498218 7567326 7619157 7983864 8020072 8075004 8149428 8649186 8707608 8747921 8828547 9022581 9507666 9640566 9997624 10044216 10089768 10158876 10382148 11120382 11247327 11350989 11532248 11771396 11975796 12030108 12112506 12224142 12676888 12854088 12973779 13032617 14035126 14261499 14827176 14996436 15134652 15238314 16150008 16298856 17298372 17495842 17657094 18045162 18168759 19015332 19281132 20317752 20599943 20764296 21052689 22240764 22494654 22701978 23542792 23951592 24060216 24225012 24448284 25947558 26065234 26243763 26485641 27067743 28070252 28522998 29992872 30269304 30476628 33741981 34596744 34991684 35314188 36090324 36337518 38030664 38562264 38921337 39097851 41199886 42105378 42784497 44481528 44989308 45403956 48450024 48896568 49122941 51895116 52130468 52487526 52971282 54135486 56140504 57045996 60953256 61799829 63158067 67483962 69983368 70628376 72180648 72675036 77842674 78195702 78731289 79456923 82399772 84210756 85568994 89978616 90807912 91228319 98245882 103790232 104260936 104975052 105942564 108270972 114091992 117293553 123599658 126316134 134967924 145350072 147368823 155685348 156391404 157462578 158913846 164799544 168421512 171137988 182456638 185399487 189474201 196491764 209950104 211885128 216541944 234587106 236193867 247199316 252632268 269935848 273684957 294737646 311370696 312782808 314925156 317827692 342275976 351880659 364913276 370798974 378948402 392983528 442106469 469174212 472387734 494398632 505264536 547369914 556198461 589475292 629850312 635655384 638598233 703761318 729826552 741597948 757896804 821054871 884212938 938348424 944775468 1094739828 1112396922 1178950584 1277196466 1326319407 1407522636 1483195896 1515793608 1642109742 1768425876 1889550936 1915794699 2189479656 2224793844 2463164613 2554392932 2652638814 2815045272 3284219484 3536851752 3831589398 4449587688 4926329226 5108785864 5305277628 5747384097 6568438968 7663178796 9852658452 10610555256 11494768194 15326357592 17242152291 19705316904 22989536388 34484304582 45979072776 68968609164 137937218328
- Sum of all divisors σ(n): 503406489600
- Sum of proper divisors (its aliquot sum) s(n): 365469271272
- 137937218328 is an abundant number, because the sum of its proper divisors (365469271272) is greater than itself. Its abundance is 227532052944
Bases of 137937218328
- Binary: 100000000111011011001011101011000110002
- Hexadecimal: 0x201DB2EB18
- Base-36: 1RD89AU0
Squares and roots of 137937218328
- 137937218328 squared (1379372183282) is 19026676200066339115584
- 137937218328 cubed (1379372183283) is 2624486789064712026669996635223552
-
The
square root of 137937218328 is 371399.0015172365 -
The
cube root of 137937218328 is 5166.8654773103
Scales and comparisons
How big is 137937218328?- 137,937,218,328 seconds is equal to 4,385 years, 50 weeks, 5 days, 13 hours, 58 minutes, 48 seconds.
-
To count from 1 to 137,937,218,328 would take you about eight thousand, seven hundred seventy-one 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 137937218328 cubic inches would be around 430.6 feet tall.
Recreational maths with 137937218328
- 137937218328 backwards is 823812739731
- 137937218328 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137937218328's digits is 54
- 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 137937218328 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 137937218328 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137937218328/
Chicago style:
Numbermatics. 2024. "Number 137937218328 - Facts about the integer". https://numbermatics.com/n/137937218328/
The information we have on file for 137937218328 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 137937218328, math, Factors of 137937218328, curriculum, school, college, exams, university, Prime factorization of 137937218328, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, nine hundred thirty-seven million, two hundred eighteen thousand, three hundred twenty-eight.