138339840434880
138,339,840,434,880 is an even composite number composed of six prime numbers multiplied together.
What does the number 138339840434880 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
138339840434880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138339840434880:
26 × 3 × 5 × 7 × 17 × 1210957987
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 1210957987)See below for interesting mathematical facts about the number 138339840434880 from the Numbermatics database.
Names of 138339840434880
- Cardinal: 138339840434880 can be written as One hundred thirty-eight trillion, three hundred thirty-nine billion, eight hundred forty million, four hundred thirty-four thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3833984043488 × 1014
Factors of 138339840434880
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1210958021
Divisors of 138339840434880
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 136 140 160 168 170 192 204 210 224 238 240 255 272 280 320 336 340 357 408 420 448 476 480 510 544 560 595 672 680 714 816 840 952 960 1020 1088 1120 1190 1344 1360 1428 1632 1680 1785 1904 2040 2240 2380 2720 2856 3264 3360 3570 3808 4080 4760 5440 5712 6720 7140 7616 8160 9520 11424 14280 16320 19040 22848 28560 38080 57120 114240 1210957987 2421915974 3632873961 4843831948 6054789935 7265747922 8476705909 9687663896 12109579870 14531495844 16953411818 18164369805 19375327792 20586285779 24219159740 25430117727 29062991688 33906823636 36328739610 38750655584 41172571558 42383529545 48438319480 50860235454 58125983376 61758857337 67813647272 72657479220 77501311168 82345143116 84767059090 96876638960 101720470908 102931428895 116251966752 123517714674 127150588635 135627294544 144104000453 145314958440 164690286232 169534118180 193753277920 203440941816 205862857790 232503933504 247035429348 254301177270 271254589088 288208000906 290629916880 308794286685 329380572464 339068236360 387506555840 406881883632 411725715580 432312001359 494070858696 508602354540 542509178176 576416001812 581259833760 617588573370 658761144928 678136472720 720520002265 813763767264 823451431160 864624002718 988141717392 1017204709080 1152832003624 1162519667520 1235177146740 1317522289856 1356272945440 1441040004530 1627527534528 1646902862320 1729248005436 1976283434784 2034409418160 2161560006795 2305664007248 2470354293480 2712545890880 2882080009060 3293805724640 3458496010872 3952566869568 4068818836320 4323120013590 4611328014496 4940708586960 5764160018120 6587611449280 6916992021744 8137637672640 8646240027180 9222656028992 9881417173920 11528320036240 13833984043488 17292480054360 19762834347840 23056640072480 27667968086976 34584960108720 46113280144960 69169920217440 138339840434880
- Sum of all divisors σ(n): 531503992429056
- Sum of proper divisors (its aliquot sum) s(n): 393164151994176
- 138339840434880 is an abundant number, because the sum of its proper divisors (393164151994176) is greater than itself. Its abundance is 254824311559296
Bases of 138339840434880
- Binary: 111110111010001110000010000110000100010110000002
- Hexadecimal: 0x7DD1C10C22C0
- Base-36: 1D1CG15Z9C
Squares and roots of 138339840434880
- 138339840434880 squared (1383398404348802) is 19137911451548059427520614400
- 138339840434880 cubed (1383398404348803) is 2647535616464021225562913476637860790272000
-
The
square root of 138339840434880 is 11761795.7997441869 -
The
cube root of 138339840434880 is 51718.8774643333
Scales and comparisons
How big is 138339840434880?- 138,339,840,434,880 seconds is equal to 4,398,779 years, 4 days, 14 hours, 8 minutes.
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To count from 1 to 138,339,840,434,880 would take you about ten million, nine hundred ninety-six thousand, nine hundred forty-seven 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 138339840434880 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138339840434880
- 138339840434880 backwards is 088434048933831
- The number of decimal digits it has is: 15
- The sum of 138339840434880's digits is 66
- More coming soon!
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