138744320064
138,744,320,064 is an even composite number composed of six prime numbers multiplied together.
138744320064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 138744320064:
26 × 3 × 72 × 17 × 792 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 17 × 79 × 79 × 139)See below for interesting mathematical facts about the number 138744320064 from the Numbermatics database.
Names of 138744320064
- Cardinal: 138744320064 can be written as One hundred thirty-eight billion, seven hundred forty-four million, three hundred twenty thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38744320064 × 1011
Factors of 138744320064
Divisors of 138744320064
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 64 68 79 84 96 98 102 112 119 136 139 147 158 168 192 196 204 224 237 238 272 278 294 316 336 357 392 408 417 448 474 476 544 553 556 588 632 672 714 784 816 833 834 948 952 973 1088 1106 1112 1176 1264 1343 1344 1428 1568 1632 1659 1666 1668 1896 1904 1946 2212 2224 2352 2363 2499 2528 2686 2856 2919 3136 3264 3318 3332 3336 3792 3808 3871 3892 4029 4424 4448 4704 4726 4998 5056 5372 5712 5838 6241 6636 6664 6672 6811 7089 7584 7616 7742 7784 8058 8848 8896 9401 9408 9452 9996 10744 10981 11424 11613 11676 12482 13272 13328 13344 13622 14178 15168 15484 15568 16116 16541 17696 18723 18802 18904 19992 20433 21488 21962 22848 23226 23352 24964 26544 26656 26688 27244 28203 28356 30968 31136 32232 32943 33082 35392 37446 37604 37808 39984 40866 42976 43687 43924 46452 46704 49623 49928 53088 53312 54488 56406 56712 61936 62272 64464 65807 65886 66164 74892 75208 75616 76867 79968 81732 85952 87374 87848 92904 93408 99246 99856 106097 106176 108976 112812 113424 115787 123872 128928 131061 131614 131772 132328 149784 150416 151232 153734 159936 163464 174748 175696 185808 186677 186816 197421 198492 199712 212194 217952 225624 226848 230601 231574 247744 257856 262122 263228 263544 264656 299568 300832 305809 307468 318291 326928 347361 349496 351392 371616 373354 394842 396984 399424 424388 435904 451248 453696 461202 463148 524244 526456 527088 529312 538069 560031 599136 601664 611618 614936 636582 653856 694722 698992 702784 742679 743232 746708 789684 793968 848776 867499 902496 917427 922404 926296 1048488 1052912 1054176 1058624 1076138 1120062 1198272 1223236 1229872 1273164 1306739 1307712 1389444 1397984 1485358 1493416 1579368 1587936 1614207 1697552 1734998 1804992 1834854 1844808 1852592 2096976 2105824 2108352 2152276 2228037 2240124 2446472 2459744 2546328 2602497 2613478 2778888 2795968 2970716 2986832 3158736 3175872 3228414 3395104 3469996 3669708 3689616 3705184 3920217 4193952 4211648 4304552 4456074 4480248 4892944 4919488 5092656 5198753 5204994 5226956 5557776 5941432 5973664 6072493 6317472 6456828 6790208 6939992 7339416 7379232 7410368 7840434 8387904 8609104 8912148 8960496 9147173 9785888 10185312 10397506 10409988 10453912 11115552 11882864 11947328 12144986 12634944 12913656 13879984 14678832 14747483 14758464 15596259 15680868 17218208 17824296 17920992 18217479 18294346 19571776 20370624 20795012 20819976 20907824 22231104 23765728 24289972 25827312 27441519 27759968 29357664 29494966 31192518 31361736 34436416 35648592 35841984 36434958 36588692 41590024 41639952 41815648 42507451 44242449 47531456 48579944 51654624 54883038 55519936 58715328 58989932 62385036 62723472 71297184 72869916 73177384 83180048 83279904 83631296 85014902 88484898 97159888 103232381 103309248 109766076 117979864 124770072 125446944 127522353 142594368 145739832 146354768 166360096 166559808 170029804 176969796 194319776 206464762 219532152 235959728 249540144 250893888 255044706 291479664 292709536 309697143 332720192 340059608 353939592 388639552 412929524 439064304 471919456 499080288 510089412 582959328 585419072 619394286 680119216 707879184 722626667 825859048 878128608 943838912 998160576 1020178824 1165918656 1238788572 1360238432 1415758368 1445253334 1651718096 1756257216 2040357648 2167880001 2477577144 2720476864 2831516736 2890506668 3303436192 4080715296 4335760002 4955154288 5781013336 6606872384 8161430592 8671520004 9910308576 11562026672 17343040008 19820617152 23124053344 34686080016 46248106688 69372160032 138744320064
- Sum of all divisors σ(n): 461237807520
- Sum of proper divisors (its aliquot sum) s(n): 322493487456
- 138744320064 is an abundant number, because the sum of its proper divisors (322493487456) is greater than itself. Its abundance is 183749167392
Bases of 138744320064
- Binary: 100000010011011100111001010000010000002
- Hexadecimal: 0x204DCE5040
- Base-36: 1RQKSAIO
Squares and roots of 138744320064
- 138744320064 squared (1387443200642) is 19249986350021672964096
- 138744320064 cubed (1387443200643) is 2670826267375038127067271004422144
-
The
square root of 138744320064 is 372483.9863188751 -
The
cube root of 138744320064 is 5176.9233836481
Scales and comparisons
How big is 138744320064?- 138,744,320,064 seconds is equal to 4,411 years, 33 weeks, 2 days, 54 minutes, 24 seconds.
-
To count from 1 to 138,744,320,064 would take you about eight thousand, eight hundred twenty-three 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 138744320064 cubic inches would be around 431.4 feet tall.
Recreational maths with 138744320064
- 138744320064 backwards is 460023447831
- 138744320064 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138744320064's digits is 42
- More coming soon!
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