138051437328
138,051,437,328 is an even composite number composed of six prime numbers multiplied together.
What does the number 138051437328 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 540 divisors.
138051437328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 138051437328:
24 × 32 × 72 × 17 × 472 × 521
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 47 × 47 × 521)See below for interesting mathematical facts about the number 138051437328 from the Numbermatics database.
Names of 138051437328
- Cardinal: 138051437328 can be written as One hundred thirty-eight billion, fifty-one million, four hundred thirty-seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38051437328 × 1011
Factors of 138051437328
Divisors of 138051437328
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 47 48 49 51 56 63 68 72 84 94 98 102 112 119 126 136 141 144 147 153 168 188 196 204 238 252 272 282 294 306 329 336 357 376 392 408 423 441 476 504 521 564 588 612 658 714 752 784 799 816 833 846 882 952 987 1008 1042 1071 1128 1176 1224 1316 1428 1563 1598 1666 1692 1764 1904 1974 2084 2142 2209 2256 2303 2352 2397 2448 2499 2632 2856 2961 3126 3196 3332 3384 3528 3647 3948 4168 4284 4418 4606 4689 4794 4998 5264 5593 5712 5922 6252 6392 6627 6664 6768 6909 7056 7191 7294 7497 7896 8336 8568 8836 8857 9212 9378 9588 9996 10941 11186 11844 12504 12784 13254 13328 13818 14382 14588 14994 15463 15792 16779 17136 17672 17714 18424 18756 19176 19881 19992 20727 21882 22372 23688 24487 25008 25529 26508 26571 27636 28764 29176 29988 30926 32823 33558 35344 35428 36848 37512 37553 38352 39151 39762 39984 41454 43764 44744 46389 47376 48974 50337 51058 53016 53142 55272 57528 58352 59976 61852 61999 65646 67116 70856 73461 75024 75106 76587 78302 79524 79713 82908 87528 89488 92778 97948 100674 102116 106032 106284 108241 110544 112659 115056 117453 119952 123704 123998 131292 134232 139167 141712 146922 150212 153174 156604 159048 159426 165816 171409 175056 185556 185997 195896 201348 204232 212568 216482 220383 225318 229761 234906 247408 247996 262584 262871 268464 278334 293844 300424 306348 313208 318096 318852 324723 331632 337977 342818 352359 371112 371994 391792 402696 408464 416279 425136 432964 433993 440766 450636 459522 469812 495992 514227 525168 525742 556668 557991 587688 600848 612696 626416 637704 649446 675954 685636 704718 742224 743988 788613 805392 832558 865928 867986 881532 901272 919044 939624 974169 991984 1028454 1051484 1113336 1115982 1150889 1175376 1199863 1225392 1248837 1275408 1298892 1301979 1351908 1371272 1409436 1487976 1542681 1577226 1665116 1731856 1735972 1763064 1802544 1838088 1840097 1879248 1948338 2056908 2102968 2226672 2231964 2301778 2365839 2399726 2497674 2597784 2603958 2703816 2742544 2818872 2913953 2975952 3085362 3154452 3330232 3452667 3471944 3526128 3599589 3676176 3680194 3746511 3896676 3905937 4113816 4205936 4463928 4603556 4731678 4799452 4995348 5195568 5207916 5407632 5520291 5637744 5827906 6170724 6308904 6660464 6905334 6943888 7199178 7360388 7493022 7793352 7811874 8056223 8227632 8741859 8927856 9207112 9463356 9598904 9990696 10358001 10415832 10798767 11040582 11655812 12341448 12617808 13810668 14398356 14720776 14986044 15586704 15623748 16112446 16560873 17483718 18414224 18926712 19197808 19565113 19981392 20397671 20716002 20831664 21597534 22081164 23311624 24168669 24682896 26225577 27621336 28796712 29441552 29972088 31247496 32224892 33121746 34967436 37853424 39130226 40795342 41432004 43195068 44162328 46623248 48337338 52451154 55242672 56393561 57593424 58695339 59944176 61193013 62494992 64449784 66243492 69934872 72506007 78260452 81590684 82864008 86390136 88324656 96674676 104902308 112787122 117390678 122386026 128899568 132486984 136955791 139869744 145012014 156520904 163181368 165728016 169180683 172780272 176086017 183579039 193349352 209804616 225574244 234781356 244772052 264973968 273911582 290024028 313041808 326362736 338361366 352172034 367158078 386698704 410867373 419609232 451148488 469562712 489544104 507542049 547823164 580048056 676722732 704344068 734316156 821734746 902296976 939125424 958690537 979088208 1015084098 1095646328 1160096112 1232602119 1353445464 1408688136 1468632312 1643469492 1917381074 2030168196 2191292656 2465204238 2706890928 2817376272 2876071611 2937264624 3286938984 3834762148 4060336392 4930408476 5752143222 6573877968 7669524296 8120672784 8628214833 9860816952 11504286444 15339048592 17256429666 19721633904 23008572888 34512859332 46017145776 69025718664 138051437328
- Sum of all divisors σ(n): 487140759612
- Sum of proper divisors (its aliquot sum) s(n): 349089322284
- 138051437328 is an abundant number, because the sum of its proper divisors (349089322284) is greater than itself. Its abundance is 211037884956
Bases of 138051437328
- Binary: 100000001001001000000111000011000100002
- Hexadecimal: 0x202481C310
- Base-36: 1RF49ES0
Squares and roots of 138051437328
- 138051437328 squared (1380514373282) is 19058199348326711779584
- 138051437328 cubed (1380514373283) is 2631011812920055492907559925911552
-
The
square root of 138051437328 is 371552.7382862357 -
The
cube root of 138051437328 is 5168.2912259165
Scales and comparisons
How big is 138051437328?- 138,051,437,328 seconds is equal to 4,389 years, 31 weeks, 4 days, 13 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,051,437,328 would take you about eight thousand, seven hundred seventy-nine 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 138051437328 cubic inches would be around 430.7 feet tall.
Recreational maths with 138051437328
- 138051437328 backwards is 823734150831
- The number of decimal digits it has is: 12
- The sum of 138051437328'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 138051437328 - Facts about the integer". Numbermatics.com. 2024. Web. 30 June 2024.
APA style:
Numbermatics. (2024). Number 138051437328 - Facts about the integer. Retrieved 30 June 2024, from https://numbermatics.com/n/138051437328/
Chicago style:
Numbermatics. 2024. "Number 138051437328 - Facts about the integer". https://numbermatics.com/n/138051437328/
The information we have on file for 138051437328 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 138051437328, math, Factors of 138051437328, curriculum, school, college, exams, university, Prime factorization of 138051437328, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, fifty-one million, four hundred thirty-seven thousand, three hundred twenty-eight.