138375612824540
138,375,612,824,540 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138375612824540 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 432 divisors.
138375612824540 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138375612824540:
22 × 5 × 72 × 13 × 41 × 6072 × 719
(2 × 2 × 5 × 7 × 7 × 13 × 41 × 607 × 607 × 719)See below for interesting mathematical facts about the number 138375612824540 from the Numbermatics database.
Names of 138375612824540
- Cardinal: 138375612824540 can be written as One hundred thirty-eight trillion, three hundred seventy-five billion, six hundred twelve million, eight hundred twenty-four thousand, five hundred forty.
Scientific notation
- Scientific notation: 1.3837561282454 × 1014
Factors of 138375612824540
Divisors of 138375612824540
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 7 10 13 14 20 26 28 35 41 49 52 65 70 82 91 98 130 140 164 182 196 205 245 260 287 364 410 455 490 533 574 607 637 719 820 910 980 1066 1148 1214 1274 1435 1438 1820 2009 2132 2428 2548 2665 2870 2876 3035 3185 3595 3731 4018 4249 5033 5330 5740 6070 6370 7190 7462 7891 8036 8498 9347 10045 10066 10660 12140 12740 14380 14924 15782 16996 18655 18694 20090 20132 21245 24887 25165 26117 29479 29743 31564 35231 37310 37388 39455 40180 42490 46735 49774 50330 52234 55237 58958 59486 65429 70462 74620 78910 84980 93470 99548 100660 104468 110474 117916 118972 124435 130585 130858 140924 147395 148715 157820 174209 176155 186940 206353 220948 248870 261170 261716 276185 294790 297430 323531 327145 348418 352310 368449 383227 386659 412706 436433 458003 497740 522340 552370 589580 594860 647062 654290 696836 704620 736898 766454 773318 825412 871045 872866 916006 1031765 1104740 1219463 1294124 1308580 1444471 1473796 1532908 1546636 1617655 1742090 1745732 1832012 1842245 1916135 1933295 2063530 2182165 2264717 2290015 2438926 2579143 2682589 2888942 3055031 3235310 3484180 3684490 3832270 3866590 4127060 4364330 4529434 4580030 4789837 4877852 5158286 5365178 5673629 5777884 6097315 6110062 6470620 7222355 7368980 7664540 7733180 8728660 9058868 9160060 9579674 10316572 10730356 11323585 11347258 12194630 12220124 12895715 13412945 14444710 15106409 15275155 15853019 17893753 18054001 18778123 19159348 21385217 22647170 22694516 23949185 24389260 25791430 26825890 28368145 28889420 30212818 30550310 31706038 33528859 35787506 36108002 37556246 39715403 42770434 45294340 47898370 51582860 53651780 56736290 60425636 61100620 63412076 67057718 71575012 72216004 75112492 75532045 79265095 79430806 85540868 89468765 90270005 93890615 95796740 105744863 106926085 113472580 125256271 134115436 151064090 158530190 158861612 167644295 178937530 180540010 187781230 196383317 198577015 211489726 213852170 232618789 234702013 250512542 264914831 278007821 302128180 317060380 335288590 357875060 361080020 375562460 392766634 397154030 422979452 427704340 465237578 469404026 501025084 528724315 529829662 556015642 626281355 670577180 740214041 785533268 794308060 876793897 930475156 938808052 981916585 1057448630 1059659324 1112031284 1163093945 1173510065 1252562710 1324574155 1374683219 1390039105 1480428082 1628331523 1753587794 1854403817 1963833170 2114897260 2326187890 2347020130 2505125420 2649148310 2749366438 2780078210 2960856164 3256663046 3443892803 3507175588 3701070205 3708807634 3927666340 4383969485 4652375780 4694040260 5298296620 5498732876 5560156420 6513326092 6873416095 6887785606 7402140410 7417615268 8141657615 8767938970 9272019085 9622782533 10861508071 11398320661 12980826719 13746832190 13775571212 14804280820 16283315230 17219464015 17535877940 18544038170 19245565066 21723016142 22796641322 24107249621 25961653438 27493664380 32566630460 34438928030 37088076340 38491130132 43446032284 45593282644 48113912665 48214499242 51923306876 54307540355 56991603305 64904133595 68877856060 76030556497 96227825330 96428998484 108615080710 113983206610 120536248105 129808267190 141199604923 152061112994 168750747347 192455650660 217230161420 227966413220 241072496210 259616534380 282399209846 304122225988 337501494694 380152782485 482144992420 532213895479 564798419692 675002989388 705998024615 760305564970 843753736735 988397234461 1064427790958 1411996049230 1520611129940 1687507473470 1976794468922 2128855581916 2661069477395 2823992098460 3375014946940 3953588937844 4941986172305 5322138954790 6918780641227 9883972344610 10644277909580 13837561282454 19767944689220 27675122564908 34593903206135 69187806412270 138375612824540
- Sum of all divisors σ(n): 374048067818880
- Sum of proper divisors (its aliquot sum) s(n): 235672454994340
- 138375612824540 is an abundant number, because the sum of its proper divisors (235672454994340) is greater than itself. Its abundance is 97296842169800
Bases of 138375612824540
- Binary: 111110111011010000101010011111101111011110111002
- Hexadecimal: 0x7DDA153F7BDC
- Base-36: 1D1SVN4FRW
Squares and roots of 138375612824540
- 138375612824540 squared (1383756128245402) is 19147810224566998916826211600
- 138375612824540 cubed (1383756128245403) is 2649589974072451352683637414671383712664000
-
The
square root of 138375612824540 is 11763316.4041668113 -
The
cube root of 138375612824540 is 51723.3349616227
Scales and comparisons
How big is 138375612824540?- 138,375,612,824,540 seconds is equal to 4,399,916 years, 24 weeks, 21 hours, 2 minutes, 20 seconds.
-
To count from 1 to 138,375,612,824,540 would take you about ten million, nine hundred ninety-nine thousand, seven hundred ninety-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 138375612824540 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138375612824540
- 138375612824540 backwards is 045428216573831
- The number of decimal digits it has is: 15
- The sum of 138375612824540's digits is 59
- More coming soon!
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