138629117745612
138,629,117,745,612 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138629117745612 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1512 divisors.
138629117745612 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138629117745612:
22 × 36 × 132 × 17 × 312 × 67 × 257
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 17 × 31 × 31 × 67 × 257)See below for interesting mathematical facts about the number 138629117745612 from the Numbermatics database.
Names of 138629117745612
- Cardinal: 138629117745612 can be written as One hundred thirty-eight trillion, six hundred twenty-nine billion, one hundred seventeen million, seven hundred forty-five thousand, six hundred twelve.
Scientific notation
- Scientific notation: 1.38629117745612 × 1014
Factors of 138629117745612
Divisors of 138629117745612
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 9 12 13 17 18 26 27 31 34 36 39 51 52 54 62 67 68 78 81 93 102 108 117 124 134 153 156 162 169 186 201 204 221 234 243 257 268 279 306 324 338 351 372 402 403 442 459 468 486 507 514 527 558 603 612 663 676 702 729 771 804 806 837 871 884 918 961 972 1014 1028 1053 1054 1116 1139 1206 1209 1326 1377 1404 1458 1521 1542 1581 1612 1674 1742 1809 1836 1922 1989 2028 2077 2106 2108 2278 2313 2412 2418 2511 2613 2652 2754 2873 2883 2916 3042 3084 3159 3162 3341 3348 3417 3484 3618 3627 3844 3978 4131 4154 4212 4369 4556 4563 4626 4743 4836 5022 5226 5239 5427 5508 5746 5766 5967 6084 6231 6318 6324 6682 6834 6851 6939 7236 7254 7533 7839 7956 7967 8262 8308 8619 8649 8738 9126 9252 9477 9486 10023 10044 10251 10452 10478 10854 10881 11323 11492 11532 11934 12393 12462 12493 12636 13107 13364 13668 13689 13702 13878 14229 14508 14807 15066 15678 15717 15934 16281 16337 16524 17219 17238 17298 17476 17901 18252 18693 18954 18972 20046 20502 20553 20817 20956 21708 21762 22599 22646 23517 23868 23901 24786 24924 24986 25857 25947 26214 27001 27378 27404 27756 28458 29614 30069 30132 30753 31356 31434 31868 32562 32643 32674 33969 34438 34476 34596 35309 35802 37386 37479 37908 39321 40092 41004 41067 41106 41634 42687 43433 43524 44421 45198 45292 47034 47151 47802 48843 49011 49572 49972 51657 51714 51894 52428 53703 54002 54756 56079 56797 56916 59228 60138 61506 61659 62451 62868 64387 65124 65286 65348 67938 68876 70551 70618 71604 71703 74772 74958 77571 77841 78642 81003 82134 82212 83268 85374 86866 88842 89063 90207 90396 92259 94068 94302 95604 97686 97929 98022 101907 103314 103428 103571 103788 105927 107406 108004 112158 112437 113594 117963 120276 123012 123201 123318 124902 128061 128774 130299 130572 133263 135439 135876 141102 141236 141453 143406 147033 149916 154971 155142 155682 157284 161109 162006 162409 164268 168237 170391 170748 173732 177684 178126 180414 184518 184977 187353 188604 192491 193161 195372 195858 196044 203814 206628 207142 211653 211854 212381 214812 215109 223847 224316 224874 227188 232713 233523 235926 243009 246402 246636 246977 249804 256122 257548 260598 266526 267189 270621 270878 276777 282204 282906 286812 292723 293787 294066 305721 309942 310284 310713 311364 317781 322218 324012 324818 336474 337311 340782 351013 353889 356252 360828 369036 369954 374706 384183 384982 386322 390897 391716 399789 406317 407628 414284 423306 423708 424359 424762 430218 441099 447694 449748 459017 464913 465426 467046 471852 486018 487227 492804 493954 504711 511173 512244 521196 533052 533789 534378 541242 541756 553554 554931 565812 577473 579483 585446 587574 588132 611442 619884 621426 634959 635562 637143 644436 645327 649636 671541 672948 674622 681564 698139 700569 702026 707778 729027 738361 739908 740931 749412 768366 769964 772644 781794 799578 801567 811863 812634 830331 837031 846612 848718 849524 860436 878169 882198 895388 917163 918034 929826 930852 932139 934092 953343 972036 974454 987908 1009422 1011933 1022346 1053039 1061667 1067578 1068756 1082484 1094579 1107108 1109862 1154946 1158966 1170892 1172691 1175148 1199367 1218951 1222884 1242852 1269918 1271124 1273077 1274286 1290654 1323297 1343082 1346423 1349244 1377051 1394739 1396278 1401138 1404052 1415556 1458054 1461681 1476722 1481862 1514133 1533519 1536732 1563588 1599156 1601367 1603134 1623726 1625268 1660662 1664793 1674062 1697436 1732419 1738449 1756338 1760707 1764396 1834326 1836068 1859652 1864278 1906686 1911429 1935981 1948908 2014623 2018844 2023866 2044692 2094417 2106078 2123334 2135156 2187081 2189158 2215083 2219724 2222793 2309892 2317932 2345382 2398734 2404701 2435589 2437902 2511093 2539836 2546154 2548572 2581308 2634507 2646594 2686164 2692846 2751489 2754102 2760953 2789478 2792556 2796417 2802276 2860029 2910011 2916108 2923362 2953444 2963724 3028266 3035799 3067038 3159117 3185001 3202734 3206268 3210701 3247452 3283737 3321324 3329586 3348124 3464838 3476898 3512676 3518073 3521414 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142622549121 144255065292 151012110834 156820268943 159160869972 165626186076 171996424002 172424275803 179804303172 190163398828 197477375706 205072659387 209093691924 226518166251 229899034404 248439279114 263053354356 269706454758 273430212516 285245098242 296216063559 302024221668 313640537886 343992848004 344848551606 372658918671 394954751412 410145318774 427867647363 453036332502 496878558228 517272827409 539412909516 570490196484 592432127118 627281075772 679554498753 689697103212 745317837342 820290637548 855735294726 888648190677 906072665004 1034545654818 1117976756013 1184864254236 1283602942089 1359108997506 1490635674684 1711470589452 1777296381354 2038663496259 2069091309636 2235953512026 2567205884178 2665944572031 2718217995012 3554592762708 3850808826267 4077326992518 4471907024052 5134411768356 5331889144062 7701617652534 8154653985036 10663778288124 11552426478801 15403235305068 23104852957602 34657279436403 46209705915204 69314558872806 138629117745612
- Sum of all divisors σ(n): 439055744733648
- Sum of proper divisors (its aliquot sum) s(n): 300426626988036
- 138629117745612 is an abundant number, because the sum of its proper divisors (300426626988036) is greater than itself. Its abundance is 161797509242424
Bases of 138629117745612
- Binary: 111111000010101000110110101000110011001110011002
- Hexadecimal: 0x7E151B5199CC
- Base-36: 1D51C5EOR0
Squares and roots of 138629117745612
- 138629117745612 squared (1386291177456122) is 19218032286926755925145254544
- 138629117745612 cubed (1386291177456123) is 2664178860743342307097437073034361179060928
-
The
square root of 138629117745612 is 11774086.7053717589 -
The
cube root of 138629117745612 is 51754.9015087893
Scales and comparisons
How big is 138629117745612?- 138,629,117,745,612 seconds is equal to 4,407,977 years, 7 weeks, 14 hours, 40 minutes, 12 seconds.
-
To count from 1 to 138,629,117,745,612 would take you about eleven million, nineteen thousand, nine hundred forty-two 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 138629117745612 cubic inches would be around 4312.9 feet tall.
Recreational maths with 138629117745612
- 138629117745612 backwards is 216547711926831
- The number of decimal digits it has is: 15
- The sum of 138629117745612's digits is 63
- More coming soon!
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MLA style:
"Number 138629117745612 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138629117745612 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138629117745612/
Chicago style:
Numbermatics. 2024. "Number 138629117745612 - Facts about the integer". https://numbermatics.com/n/138629117745612/
The information we have on file for 138629117745612 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 138629117745612, math, Factors of 138629117745612, curriculum, school, college, exams, university, Prime factorization of 138629117745612, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred twenty-nine billion, one hundred seventeen million, seven hundred forty-five thousand, six hundred twelve.