138675881344
138,675,881,344 is an even composite number composed of six prime numbers multiplied together.
What does the number 138675881344 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
138675881344 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 138675881344:
27 × 7 × 112 × 13 × 61 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 13 × 61 × 1613)See below for interesting mathematical facts about the number 138675881344 from the Numbermatics database.
Names of 138675881344
- Cardinal: 138675881344 can be written as One hundred thirty-eight billion, six hundred seventy-five million, eight hundred eighty-one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38675881344 × 1011
Factors of 138675881344
Divisors of 138675881344
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 61 64 77 88 91 104 112 121 122 128 143 154 176 182 208 224 242 244 286 308 352 364 416 427 448 484 488 572 616 671 704 728 793 832 847 854 896 968 976 1001 1144 1232 1342 1408 1456 1573 1586 1613 1664 1694 1708 1936 1952 2002 2288 2464 2684 2912 3146 3172 3226 3388 3416 3872 3904 4004 4576 4697 4928 5368 5551 5824 6292 6344 6452 6776 6832 7381 7744 7808 8008 8723 9152 9394 9856 10736 11011 11102 11291 11648 12584 12688 12904 13552 13664 14762 15488 16016 17446 17743 18304 18788 20969 21472 22022 22204 22582 25168 25376 25808 27104 27328 29524 32032 34892 35486 37576 41938 42944 44044 44408 45164 50336 50752 51616 51667 54208 54656 59048 61061 64064 69784 70972 75152 83876 85888 88088 88816 90328 95953 98393 100672 101504 103232 103334 108416 118096 122122 124201 128128 139568 141944 146783 150304 167752 176176 177632 180656 191906 195173 196786 201344 206464 206668 230659 236192 244244 248402 279136 283888 293566 300608 335504 352352 355264 361312 383812 390346 393572 413336 461318 472384 488488 496804 558272 567776 587132 601216 671008 671671 688751 704704 710528 722624 767624 780692 787144 826672 922636 944768 976976 993608 1082323 1116544 1135552 1174264 1279109 1342016 1343342 1366211 1377502 1409408 1445248 1535248 1561384 1574288 1614613 1653344 1845272 1953952 1987216 2164646 2271104 2348528 2537249 2558218 2684032 2686684 2732422 2755004 3070496 3122768 3148576 3229226 3306688 3690544 3907904 3974432 4329292 4697056 5074498 5116436 5373368 5464844 5510008 6140992 6245536 6297152 6458452 6613376 7381088 7576261 7815808 7948864 8658584 8953763 9394112 10148996 10232872 10746736 10929688 11020016 11905553 12281984 12491072 12594304 12916904 14070199 14762176 15152522 15897728 17317168 17760743 17907526 18788224 20297992 20465744 21493472 21859376 22040032 23811106 24982144 25833808 28140398 29524352 30305044 34634336 35521486 35815052 40595984 40931488 42986944 43718752 44080064 47622212 51667616 56280796 60610088 69268672 71042972 71630104 81191968 81862976 83338871 85973888 87437504 88160128 95244424 98491393 103335232 112561592 121220176 138537344 142085944 143260208 154772189 162383936 163725952 166677742 174875008 190488848 196982786 206670464 225123184 242440352 284171888 286520416 309544378 324767872 333355484 380977696 393965572 450246368 484880704 568343776 573040832 619088756 666710968 761955392 787931144 900492736 969761408 1083405323 1136687552 1146081664 1238177512 1333421936 1523910784 1575862288 1800985472 2166810646 2273375104 2476355024 2666843872 3151724576 4333621292 4952710048 5333687744 6303449152 8667242584 9905420096 10667375488 12606898304 17334485168 19810840192 34668970336 69337940672 138675881344
- Sum of all divisors σ(n): 380106296640
- Sum of proper divisors (its aliquot sum) s(n): 241430415296
- 138675881344 is an abundant number, because the sum of its proper divisors (241430415296) is greater than itself. Its abundance is 102754533952
Bases of 138675881344
- Binary: 100000010010011011101000000101100000002
- Hexadecimal: 0x2049BA0580
- Base-36: 1RPG1EV4
Squares and roots of 138675881344
- 138675881344 squared (1386758813442) is 19231000066535167246336
- 138675881344 cubed (1386758813443) is 2666875883353286958256086354755584
-
The
square root of 138675881344 is 372392.1069840229 -
The
cube root of 138675881344 is 5176.0720328047
Scales and comparisons
How big is 138675881344?- 138,675,881,344 seconds is equal to 4,409 years, 24 weeks, 22 hours, 9 minutes, 4 seconds.
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To count from 1 to 138,675,881,344 would take you about eight thousand, eight hundred eighteen 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 138675881344 cubic inches would be around 431.3 feet tall.
Recreational maths with 138675881344
- 138675881344 backwards is 443188576831
- The number of decimal digits it has is: 12
- The sum of 138675881344's digits is 58
- More coming soon!
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The information we have on file for 138675881344 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!
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