138730914816
138,730,914,816 is an even composite number composed of six prime numbers multiplied together.
138730914816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 138730914816:
210 × 3 × 13 × 17 × 127 × 1609
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 127 × 1609)See below for interesting mathematical facts about the number 138730914816 from the Numbermatics database.
Names of 138730914816
- Cardinal: 138730914816 can be written as One hundred thirty-eight billion, seven hundred thirty million, nine hundred fourteen thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38730914816 × 1011
Factors of 138730914816
Divisors of 138730914816
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 127 128 136 156 192 204 208 221 254 256 272 312 381 384 408 416 442 508 512 544 624 663 762 768 816 832 884 1016 1024 1088 1248 1326 1524 1536 1609 1632 1651 1664 1768 2032 2159 2176 2496 2652 3048 3072 3218 3264 3302 3328 3536 4064 4318 4352 4827 4953 4992 5304 6096 6436 6477 6528 6604 6656 7072 8128 8636 8704 9654 9906 9984 10608 12192 12872 12954 13056 13208 13312 14144 16256 17272 17408 19308 19812 19968 20917 21216 24384 25744 25908 26112 26416 27353 28067 28288 32512 34544 38616 39624 39936 41834 42432 48768 51488 51816 52224 52832 54706 56134 56576 62751 65024 69088 77232 79248 82059 83668 84201 84864 97536 102976 103632 105664 109412 112268 113152 125502 130048 138176 154464 158496 164118 167336 168402 169728 195072 204343 205952 207264 211328 218824 224536 226304 251004 276352 308928 316992 328236 334672 336804 339456 355589 390144 408686 411904 414528 422656 437648 449072 502008 552704 613029 617856 633984 656472 669344 673608 678912 711178 817372 823808 829056 845312 875296 898144 1004016 1066767 1105408 1226058 1235712 1267968 1312944 1338688 1347216 1422356 1634744 1647616 1658112 1690624 1750592 1796288 2008032 2133534 2210816 2452116 2471424 2535936 2625888 2656459 2677376 2694432 2844712 3269488 3316224 3473831 3501184 3592576 4016064 4267068 4904232 4942848 5071872 5251776 5312918 5354752 5388864 5689424 6538976 6632448 6947662 7002368 7185152 7969377 8032128 8534136 9808464 10421493 10503552 10625836 10709504 10777728 11378848 13077952 13895324 14004736 14370304 15938754 16064256 17068272 19616928 20842986 21007104 21251672 21419008 21555456 22757696 26155904 27790648 28009472 28740608 31877508 32128512 34136544 39233856 41685972 42014208 42503344 43110912 45159803 45515392 52311808 55581296 63755016 64257024 68273088 78467712 83371944 84028416 85006688 86221824 90319606 91030784 104623616 111162592 127510032 135479409 136546176 156935424 166743888 170013376 180639212 182061568 209247232 222325184 255020064 270958818 273092352 313870848 333487776 340026752 361278424 364123136 444650368 510040128 541917636 546184704 627741696 666975552 680053504 722556848 889300736 1020080256 1083835272 1092369408 1333951104 1360107008 1445113696 1778601472 2040160512 2167670544 2667902208 2720214016 2890227392 3557202944 4080321024 4335341088 5335804416 5780454784 8160642048 8670682176 10671608832 11560909568 17341364352 23121819136 34682728704 46243638272 69365457408 138730914816
- Sum of all divisors σ(n): 425220526080
- Sum of proper divisors (its aliquot sum) s(n): 286489611264
- 138730914816 is an abundant number, because the sum of its proper divisors (286489611264) is greater than itself. Its abundance is 147758696448
Bases of 138730914816
- Binary: 100000010011010000000111000100000000002
- Hexadecimal: 0x204D01C400
- Base-36: 1RQCSYYO
Squares and roots of 138730914816
- 138730914816 squared (1387309148162) is 19246266725684248313856
- 138730914816 cubed (1387309148163) is 2670052189646916692142548368490496
-
The
square root of 138730914816 is 372465.9914891559 -
The
cube root of 138730914816 is 5176.7566496705
Scales and comparisons
How big is 138730914816?- 138,730,914,816 seconds is equal to 4,411 years, 11 weeks, 21 hours, 13 minutes, 36 seconds.
-
To count from 1 to 138,730,914,816 would take you about eight thousand, eight hundred twenty-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 138730914816 cubic inches would be around 431.4 feet tall.
Recreational maths with 138730914816
- 138730914816 backwards is 618419037831
- 138730914816 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138730914816's digits is 51
- More coming soon!
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