138201394296240
138,201,394,296,240 is an even composite number composed of six prime numbers multiplied together.
What does the number 138201394296240 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2240 divisors.
138201394296240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 138201394296240:
24 × 36 × 5 × 113 × 293 × 73
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 29 × 29 × 29 × 73)See below for interesting mathematical facts about the number 138201394296240 from the Numbermatics database.
Names of 138201394296240
- Cardinal: 138201394296240 can be written as One hundred thirty-eight trillion, two hundred one billion, three hundred ninety-four million, two hundred ninety-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3820139429624 × 1014
Factors of 138201394296240
Divisors of 138201394296240
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 33 36 40 44 45 48 54 55 58 60 66 72 73 80 81 87 88 90 99 108 110 116 120 121 132 135 144 145 146 162 165 174 176 180 198 216 219 220 232 240 242 243 261 264 270 290 292 297 319 324 330 348 360 363 365 396 405 432 435 438 440 464 484 486 495 522 528 540 580 584 594 605 638 648 657 660 696 720 726 729 730 783 792 803 810 841 870 876 880 891 957 968 972 990 1044 1080 1089 1095 1160 1168 1188 1210 1215 1276 1296 1305 1314 1320 1331 1392 1452 1458 1460 1485 1566 1584 1595 1606 1620 1682 1740 1752 1782 1815 1914 1936 1944 1971 1980 2088 2117 2160 2178 2190 2320 2349 2376 2409 2420 2430 2523 2552 2610 2628 2640 2662 2673 2871 2904 2916 2920 2970 3132 3190 3212 3240 3267 3285 3364 3480 3504 3509 3564 3630 3645 3828 3888 3915 3942 3960 3993 4015 4176 4205 4234 4356 4380 4455 4698 4752 4785 4818 4840 4860 5046 5104 5220 5256 5324 5346 5445 5742 5808 5832 5840 5913 5940 6264 6351 6380 6424 6480 6534 6570 6655 6728 6960 7018 7047 7128 7227 7260 7290 7569 7656 7830 7884 7920 7986 8019 8030 8410 8468 8613 8712 8760 8833 8910 9251 9396 9570 9636 9680 9720 9801 9855 10092 10440 10512 10527 10585 10648 10692 10890 11484 11664 11745 11826 11880 11979 12045 12528 12615 12702 12760 12848 13068 13140 13310 13365 13456 14036 14094 14256 14355 14454 14520 14580 15138 15312 15660 15768 15972 16038 16060 16335 16820 16936 17226 17424 17520 17545 17666 17739 17820 18502 18792 19053 19140 19272 19440 19602 19710 19965 20184 20880 21054 21141 21170 21296 21384 21681 21780 22707 22968 23287 23490 23652 23760 23958 24090 24389 25230 25404 25520 25839 26136 26280 26499 26620 26730 27753 28072 28188 28710 28908 29040 29160 29403 29565 30276 31320 31536 31581 31755 31944 32076 32120 32670 33640 33872 34452 35090 35235 35332 35478 35640 35937 36135 37004 37584 37845 38106 38280 38544 38599 39204 39420 39930 40095 40368 42108 42282 42340 42768 43065 43362 43560 44165 45414 45936 46255 46574 46980 47304 47916 48180 48778 49005 50460 50808 51678 52272 52560 52635 52998 53217 53240 53460 55506 56144 56376 57159 57420 57816 58320 58806 59130 59895 60552 61393 62640 63162 63510 63888 64152 64240 65043 65340 67280 68121 68904 69861 70180 70470 70664 70956 71280 71874 72270 73167 74008 75690 76212 76560 77198 77517 78408 78840 79497 79860 80190 83259 84216 84564 84680 86130 86724 87120 88209 88330 88695 90828 92510 93148 93960 94608 94743 95265 95832 96360 97163 97556 98010 100920 101616 101761 103356 105270 105705 105996 106434 106480 106920 107811 108405 111012 112752 113535 114318 114840 115632 115797 116435 117612 118260 119790 121104 121945 122786 126324 127020 128304 129195 130086 130680 132495 136242 137808 138765 139722 140360 140940 141328 141912 143748 144540 146334 147015 148016 151380 152424 154396 155034 156816 157680 157905 158994 159720 160380 166518 168432 169128 169360 171477 172260 173448 176418 176660 177390 179685 181656 184179 185020 186296 187920 189486 190530 191664 192720 192995 194326 195112 195129 196020 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6281881558920 6910069714812 7677855238680 8637587143515 9213426286416 11516782858020 12563763117840 13820139429624 15355710477360 17275174287030 23033565716040 27640278859248 34550348574060 46067131432080 69100697148120 138201394296240
- Sum of all divisors σ(n): 556338671153280
- Sum of proper divisors (its aliquot sum) s(n): 418137276857040
- 138201394296240 is an abundant number, because the sum of its proper divisors (418137276857040) is greater than itself. Its abundance is 279935882560800
Bases of 138201394296240
- Binary: 111110110110001100001010000001110110101101100002
- Hexadecimal: 0x7DB18503B5B0
- Base-36: 1CZKUDWR00
Squares and roots of 138201394296240
- 138201394296240 squared (1382013942962402) is 19099625385424798004878137600
- 138201394296240 cubed (1382013942962403) is 2639594858801567390620819577408913882624000
-
The
square root of 138201394296240 is 11755908.9098308347 -
The
cube root of 138201394296240 is 51701.6188332701
Scales and comparisons
How big is 138201394296240?- 138,201,394,296,240 seconds is equal to 4,394,376 years, 44 weeks, 2 days, 17 hours, 24 minutes.
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To count from 1 to 138,201,394,296,240 would take you about ten million, nine hundred eighty-five thousand, nine hundred forty-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 138201394296240 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138201394296240
- 138201394296240 backwards is 042692493102831
- 138201394296240 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138201394296240's digits is 54
- More coming soon!
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The information we have on file for 138201394296240 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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