138977991753138
138,977,991,753,138 is an even composite number composed of six prime numbers multiplied together.
138977991753138 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138977991753138:
2 × 33 × 19 × 37 × 613 × 1272
(2 × 3 × 3 × 3 × 19 × 37 × 61 × 61 × 61 × 127 × 127)See below for interesting mathematical facts about the number 138977991753138 from the Numbermatics database.
Names of 138977991753138
- Cardinal: 138977991753138 can be written as One hundred thirty-eight trillion, nine hundred seventy-seven billion, nine hundred ninety-one million, seven hundred fifty-three thousand, one hundred thirty-eight.
Scientific notation
- Scientific notation: 1.38977991753138 × 1014
Factors of 138977991753138
Divisors of 138977991753138
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 6 9 18 19 27 37 38 54 57 61 74 111 114 122 127 171 183 222 254 333 342 366 381 513 549 666 703 762 999 1026 1098 1143 1159 1406 1647 1998 2109 2257 2286 2318 2413 3294 3429 3477 3721 4218 4514 4699 4826 6327 6771 6858 6954 7239 7442 7747 9398 10431 11163 12654 13542 14097 14478 15494 16129 18981 20313 20862 21717 22326 23241 28194 31293 32258 33489 37962 40626 42291 42883 43434 46482 48387 60939 62586 65151 66978 69723 70699 84582 85766 89281 96774 100467 121878 126873 128649 130302 137677 139446 141398 145161 147193 178562 200934 209169 212097 226981 253746 257298 267843 275354 286639 290322 294386 306451 385947 413031 418338 424194 435483 441579 453962 472567 535686 573278 596773 612902 636291 680943 771894 803529 826062 859917 870966 883158 919353 945134 983869 1157841 1193546 1239093 1272582 1324737 1361886 1417701 1607058 1719834 1790319 1838706 1908873 1967738 2042829 2315682 2410587 2478186 2579751 2615863 2649474 2758059 2835402 2951607 3580638 3717279 3817746 3974211 4085658 4253103 4312639 4821174 5159502 5231726 5370957 5446141 5516118 5903214 6128487 7434558 7739253 7847589 7948422 8274177 8398297 8506206 8625278 8854821 8978773 10741914 10892282 11338687 12256974 12759309 12937917 15478506 15695178 16112871 16338423 16548354 16796594 17484979 17709642 17957546 18693511 22677374 23542767 25194891 25518618 25875834 26564463 26936319 28826587 32225742 32676846 34016061 34969958 36403153 37387022 38813751 47085534 49015269 50389782 52454937 53128926 53872638 56080533 57653174 60016009 68032122 70628301 72806306 75584673 77627502 80808957 86479761 98030538 102048183 104909874 109209459 112161066 116441253 120032018 141256602 147045807 151169346 157364811 159567643 161617914 168241599 172959522 180048027 204096366 218418918 226754019 232882506 242426871 259439283 294091614 306144549 314729622 319135286 327628377 332214601 336483198 360096054 453508038 472094433 478702929 484853742 504724797 518878566 540144081 547705153 612289098 655256754 664429202 691659907 778317849 944188866 957405858 982885131 996643803 1009449594 1066583719 1080288162 1095410306 1140304171 1383319814 1436108787 1556635698 1620432243 1643115459 1965770262 1993287606 2074979721 2133167438 2220592333 2280608342 2872217574 2989931409 3199751157 3240864486 3286230918 3420912513 3660976549 4149959442 4308326361 4441184666 4929346377 5979862818 6224939163 6399502314 6661776999 6841825026 7321953098 8616652722 8969794227 9599253471 9858692754 10262737539 10982929647 12449878326 13323553998 14788039131 17939588454 18674817489 19198506942 19985330997 20265090661 20525475078 21965859294 28797760413 29576078262 30788212617 32948788941 37349634978 39970661994 40530181322 42191254327 57595520826 59955992991 60795271983 61576425234 65897577882 69558554431 84382508654 98846366823 119911985982 121590543966 126573762981 135456132313 139117108862 182385815949 197692733646 208675663293 253147525962 270912264626 364771631898 379721288943 406368396939 417351326586 547157447847 626026989879 759442577886 812736793878 1094314895694 1139163866829 1219105190817 1252053979758 1878080969637 2278327733658 2438210381634 2573666513947 3657315572451 3756161939274 5147333027894 7314631144902 7720999541841 15441999083682 23162998625523 46325997251046 69488995876569 138977991753138
- Sum of all divisors σ(n): 342139567737600
- Sum of proper divisors (its aliquot sum) s(n): 203161575984462
- 138977991753138 is an abundant number, because the sum of its proper divisors (203161575984462) is greater than itself. Its abundance is 64183584231324
Bases of 138977991753138
- Binary: 111111001100110010101011101010001111101101100102
- Hexadecimal: 0x7E6655D47DB2
- Base-36: 1D9HLVZFSI
Squares and roots of 138977991753138
- 138977991753138 squared (1389779917531382) is 19314882191735293938732847044
- 138977991753138 cubed (1389779917531383) is 2684343537955819699518703974314787561024072
-
The
square root of 138977991753138 is 11788892.7280359117 -
The
cube root of 138977991753138 is 51798.2805978007
Scales and comparisons
How big is 138977991753138?- 138,977,991,753,138 seconds is equal to 4,419,070 years, 13 weeks, 5 hours, 12 minutes, 18 seconds.
-
To count from 1 to 138,977,991,753,138 would take you about eleven million, forty-seven thousand, six hundred seventy-five 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 138977991753138 cubic inches would be around 4316.5 feet tall.
Recreational maths with 138977991753138
- 138977991753138 backwards is 831357199779831
- The number of decimal digits it has is: 15
- The sum of 138977991753138's digits is 81
- More coming soon!
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