138908825664
138,908,825,664 is an even composite number composed of six prime numbers multiplied together.
138908825664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138908825664:
26 × 3 × 7 × 173 × 109 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 17 × 17 × 109 × 193)See below for interesting mathematical facts about the number 138908825664 from the Numbermatics database.
Names of 138908825664
- Cardinal: 138908825664 can be written as One hundred thirty-eight billion, nine hundred eight million, eight hundred twenty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38908825664 × 1011
Factors of 138908825664
Divisors of 138908825664
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 109 112 119 136 168 192 193 204 218 224 238 272 289 327 336 357 386 408 436 448 476 544 578 579 654 672 714 763 772 816 867 872 952 1088 1156 1158 1308 1344 1351 1428 1526 1544 1632 1734 1744 1853 1904 2023 2289 2312 2316 2616 2702 2856 3052 3088 3264 3281 3468 3488 3706 3808 4046 4053 4578 4624 4632 4913 5232 5404 5559 5712 6069 6104 6176 6562 6936 6976 7412 7616 8092 8106 9156 9248 9264 9826 9843 10464 10808 11118 11424 12138 12208 12352 12971 13124 13872 14739 14824 16184 16212 18312 18496 18528 19652 19686 20928 21037 21616 22236 22848 22967 24276 24416 25942 26248 27744 29478 29648 31501 32368 32424 34391 36624 37056 38913 39304 39372 42074 43232 44472 45934 48552 48832 51884 52496 55488 55777 58956 59296 63002 63111 64736 64848 68782 68901 73248 77826 78608 78744 84148 86464 88944 91868 94503 97104 103173 103768 104992 111554 117912 118592 126004 126222 129472 129696 137564 137802 146496 147259 155652 157216 157488 167331 168296 177888 183736 189006 194208 206346 207536 209984 220507 223108 235824 252008 252444 259392 275128 275604 294518 311304 314432 314976 334662 336592 355776 357629 367472 378012 388416 390439 412692 415072 441014 441777 446216 471648 504016 504888 535517 550256 551208 589036 622608 629952 661521 669324 673184 715258 734944 756024 780878 825384 830144 882028 883554 892432 943296 948209 1008032 1009776 1071034 1072887 1100512 1102416 1171317 1178072 1245216 1323042 1338648 1346368 1430516 1469888 1512048 1561756 1606551 1650768 1764056 1767108 1784864 1896418 2016064 2019552 2142068 2145774 2201024 2204832 2342634 2356144 2490432 2503403 2646084 2677296 2844627 2861032 3024096 3123512 3213102 3301536 3528112 3534216 3569728 3748619 3792836 4039104 4284136 4291548 4409664 4685268 4712288 5006806 5292168 5354592 5689254 5722064 6048192 6079693 6247024 6426204 6603072 6637463 7056224 7068432 7497238 7510209 7585672 8568272 8583096 9370536 9424576 10013612 10584336 10709184 11245857 11378508 11444128 12159386 12494048 12852408 13274926 14112448 14136864 14994476 15020418 15171344 17136544 17166192 18239079 18741072 19912389 20027224 21168672 22491714 22757016 22888256 24318772 24988096 25704816 26549852 28273728 29988952 30040836 30342688 34273088 34332384 36478158 37482144 39824778 40054448 42337344 42557851 44983428 45514032 48637544 51409632 53099704 59977904 60081672 60685376 68664768 72956316 74964288 79649556 80108896 85115702 89966856 91028064 97275088 102819264 103354781 106199408 119955808 120163344 127673553 145912632 159299112 160217792 170231404 179933712 182056128 194550176 206709562 212398816 239911616 240326688 255347106 291825264 310064343 318598224 340462808 359867424 389100352 413419124 424797632 480653376 510694212 583650528 620128686 637196448 680925616 719734848 723483467 826838248 1021388424 1167301056 1240257372 1274392896 1361851232 1446966934 1653676496 2042776848 2170450401 2480514744 2723702464 2893933868 3307352992 4085553696 4340900802 4961029488 5787867736 6614705984 8171107392 8681801604 9922058976 11575735472 17363603208 19844117952 23151470944 34727206416 46302941888 69454412832 138908825664
- Sum of all divisors σ(n): 452708467200
- Sum of proper divisors (its aliquot sum) s(n): 313799641536
- 138908825664 is an abundant number, because the sum of its proper divisors (313799641536) is greater than itself. Its abundance is 174890815872
Bases of 138908825664
- Binary: 100000010101111001110001111000010000002
- Hexadecimal: 0x20579C7840
- Base-36: 1RTAQ7UO
Squares and roots of 138908825664
- 138908825664 squared (1389088256642) is 19295661847351545040896
- 138908825664 cubed (1389088256643) is 2680337727625251950206866214354944
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The
square root of 138908825664 is 372704.7432807907 -
The
cube root of 138908825664 is 5178.9686241835
Scales and comparisons
How big is 138908825664?- 138,908,825,664 seconds is equal to 4,416 years, 45 weeks, 2 days, 54 minutes, 24 seconds.
-
To count from 1 to 138,908,825,664 would take you about eight thousand, eight hundred thirty-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 138908825664 cubic inches would be around 431.6 feet tall.
Recreational maths with 138908825664
- 138908825664 backwards is 466528809831
- The number of decimal digits it has is: 12
- The sum of 138908825664's digits is 60
- More coming soon!
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