138688606557144
138,688,606,557,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 138688606557144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138688606557144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138688606557144:
23 × 37 × 74 × 232 × 792
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 23 × 23 × 79 × 79)See below for interesting mathematical facts about the number 138688606557144 from the Numbermatics database.
Names of 138688606557144
- Cardinal: 138688606557144 can be written as One hundred thirty-eight trillion, six hundred eighty-eight billion, six hundred six million, five hundred fifty-seven thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38688606557144 × 1014
Factors of 138688606557144
Divisors of 138688606557144
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 49 54 56 63 69 72 79 81 84 92 98 108 126 138 147 158 161 162 168 184 189 196 207 216 237 243 252 276 294 316 322 324 343 378 392 414 441 474 483 486 504 529 552 553 567 588 621 632 644 648 686 711 729 756 828 882 948 966 972 1029 1058 1106 1127 1134 1176 1242 1288 1323 1372 1422 1449 1458 1512 1587 1656 1659 1701 1764 1817 1863 1896 1932 1944 2058 2116 2133 2187 2212 2254 2268 2401 2484 2646 2744 2844 2898 2916 3087 3174 3318 3381 3402 3528 3634 3703 3726 3864 3871 3969 4116 4232 4266 4347 4374 4424 4508 4536 4761 4802 4968 4977 5103 5292 5451 5589 5688 5796 5832 6174 6241 6348 6399 6636 6762 6804 7203 7268 7406 7452 7742 7889 7938 8232 8532 8694 8748 9016 9261 9522 9604 9954 10143 10206 10584 10902 11109 11178 11592 11613 11907 12348 12482 12696 12719 12798 13041 13272 13524 13608 14283 14406 14536 14812 14904 14931 15309 15484 15778 15876 16353 16767 17064 17388 17496 18522 18723 19044 19197 19208 19908 20286 20412 21609 21804 22218 22356 23226 23667 23814 24696 24964 25438 25596 25921 26082 27048 27097 27783 28566 28812 29624 29862 30429 30618 30968 31556 31752 32706 33327 33534 34776 34839 35721 37044 37446 38088 38157 38394 39123 39816 40572 40824 41791 42849 43218 43608 43687 44436 44712 44793 46452 47334 47628 49059 49928 50301 50876 51192 51842 52164 54194 55223 55566 56169 57132 57591 57624 59724 60858 61236 63112 64827 65412 66654 67068 69678 71001 71442 74088 74892 76314 76788 77763 78246 81144 81291 83349 83582 85698 86436 87374 88872 89033 89586 91287 92904 94668 95256 98118 99981 100602 101752 103684 104328 104517 107163 108388 110446 111132 112338 114264 114471 115182 117369 119448 121716 122472 125373 128547 129654 130824 131061 133308 134136 134379 139356 142002 142884 143543 147177 149784 152628 153576 155526 156492 162582 165669 166698 167164 168507 171396 172773 172872 174748 178066 179172 181447 182574 189336 189679 194481 196236 199962 201204 207368 209034 213003 214326 216776 220892 222264 224676 228942 230364 233289 234738 243432 243873 250047 250746 257094 259308 262122 266616 267099 268758 273861 278712 284004 285768 287086 292537 294354 299943 305256 305809 311052 312984 313551 325164 331338 333396 334328 337014 342792 343413 345546 349496 352107 356132 358344 362894 365148 376119 379358 385641 388962 392472 393183 399924 402408 403137 418068 426006 428652 430629 441531 441784 449352 457884 460728 466578 469476 487746 497007 500094 501492 505521 514188 518616 524244 534198 537516 544341 547722 568008 569037 574172 583443 585074 588708 599886 611618 622104 623231 627102 639009 650328 662676 666792 674028 686826 691092 699867 704214 712264 725788 730296 731619 750141 752238 758716 771282 777924 786366 799848 801297 806274 821583 836136 852012 857304 861258 877611 883062 899829 915768 917427 933156 938952 940653 975492 994014 1000188 1002984 1004801 1011042 1028376 1030239 1048488 1068396 1075032 1088682 1095444 1128357 1138074 1148344 1156923 1166886 1170148 1177416 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67389993468 71341875801 71784993042 73147999239 74443696488 76328347032 78621659046 81533572344 83597713416 83749158549 87390426312 91725268887 95122501068 95713324056 97530665652 101084990202 104828878728 107677489563 111665544732 117932488569 122300358516 123059988072 125396570124 131085639468 134779986936 142683751602 143569986084 146295998478 157243318092 167498317098 183450537774 190245002136 195061331304 202169980404 214025627403 215354979126 219443997717 223331089464 235864977138 244600717032 250793140248 251247475647 262171278936 275175806661 285367503204 287139972168 292591996956 314486636184 334996634196 353797465707 366901075548 404339960808 428051254806 430709958252 438887995434 471729954276 502494951294 550351613322 570735006408 585183993912 642076882209 669993268392 707594931414 733802151096 753742426941 825527419983 856102509612 861419916504 877775990868 943459908552 1004989902588 1100703226644 1284153764418 1415189862828 1507484853882 1651054839966 1712205019224 1755551981736 1926230646627 2009979805176 2201406453288 2476582259949 2568307528836 2830379725656 3014969707764 3302109679932 3852461293254 4953164519898 5136615057672 5778691939881 6029939415528 6604219359864 7704922586508 9906329039796 11557383879762 15409845173016 17336075819643 19812658079592 23114767759524 34672151639286 46229535519048 69344303278572 138688606557144
- Sum of all divisors σ(n): 481713850119600
- Sum of proper divisors (its aliquot sum) s(n): 343025243562456
- 138688606557144 is an abundant number, because the sum of its proper divisors (343025243562456) is greater than itself. Its abundance is 204336637005312
Bases of 138688606557144
- Binary: 111111000100010111101010010000011010011110110002
- Hexadecimal: 0x7E22F520D3D8
- Base-36: 1D5SNZIDI0
Squares and roots of 138688606557144
- 138688606557144 squared (1386886065571442) is 19234529588762285712937436736
- 138688606557144 cubed (1386886065571443) is 2667610106447597424102384177377845268841984
-
The
square root of 138688606557144 is 11776612.6945375935 -
The
cube root of 138688606557144 is 51762.3035066227
Scales and comparisons
How big is 138688606557144?- 138,688,606,557,144 seconds is equal to 4,409,868 years, 36 weeks, 1 day, 12 hours, 32 minutes, 24 seconds.
-
To count from 1 to 138,688,606,557,144 would take you about eleven million, twenty-four thousand, six 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 138688606557144 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138688606557144
- 138688606557144 backwards is 441755606886831
- 138688606557144 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138688606557144's digits is 72
- More coming soon!
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The information we have on file for 138688606557144 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 138688606557144, math, Factors of 138688606557144, curriculum, school, college, exams, university, Prime factorization of 138688606557144, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred eighty-eight billion, six hundred six million, five hundred fifty-seven thousand, one hundred forty-four.