138025484544640
138,025,484,544,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138025484544640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
138025484544640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138025484544640:
27 × 5 × 73 × 113 × 19 × 232 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 19 × 23 × 23 × 47)See below for interesting mathematical facts about the number 138025484544640 from the Numbermatics database.
Names of 138025484544640
- Cardinal: 138025484544640 can be written as One hundred thirty-eight trillion, twenty-five billion, four hundred eighty-four million, five hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3802548454464 × 1014
Factors of 138025484544640
Divisors of 138025484544640
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 23 28 32 35 38 40 44 46 47 49 55 56 64 70 76 77 80 88 92 94 95 98 110 112 115 121 128 133 140 152 154 160 161 176 184 188 190 196 209 220 224 230 235 242 245 253 266 280 304 308 320 322 329 343 352 368 376 380 385 392 418 437 440 448 460 470 484 490 506 517 529 532 539 560 605 608 616 640 644 658 665 686 704 736 752 760 770 784 805 836 847 874 880 893 896 920 931 940 968 980 1012 1034 1045 1058 1064 1078 1081 1120 1127 1210 1216 1232 1265 1288 1316 1330 1331 1372 1408 1463 1472 1504 1520 1540 1568 1610 1645 1672 1694 1715 1748 1760 1771 1786 1840 1862 1880 1936 1960 2024 2068 2090 2116 2128 2156 2162 2185 2240 2254 2299 2303 2420 2432 2464 2530 2576 2585 2632 2645 2660 2662 2695 2744 2783 2926 2944 3008 3040 3059 3080 3136 3220 3290 3344 3388 3430 3496 3520 3542 3572 3619 3680 3703 3724 3760 3773 3872 3920 4048 4136 4180 4232 4235 4256 4312 4324 4370 4465 4480 4508 4598 4606 4655 4807 4840 4928 5060 5152 5170 5264 5290 5320 5324 5390 5405 5488 5566 5635 5687 5819 5852 5929 6016 6080 6118 6160 6251 6272 6440 6517 6580 6655 6688 6776 6860 6992 7040 7084 7144 7238 7315 7360 7406 7448 7520 7546 7567 7744 7840 7889 8096 8272 8360 8464 8470 8512 8624 8648 8740 8855 8930 9016 9196 9212 9310 9317 9614 9680 9823 9856 10051 10120 10241 10304 10340 10528 10580 10640 10648 10780 10810 10976 11132 11270 11374 11495 11515 11638 11704 11858 11891 12160 12236 12320 12397 12502 12880 13034 13160 13310 13376 13552 13720 13915 13984 14168 14288 14476 14630 14720 14812 14896 15040 15092 15134 15295 15488 15680 15778 16093 16121 16192 16544 16720 16928 16940 17024 17248 17296 17480 17710 17860 18032 18095 18392 18424 18515 18620 18634 18865 19228 19360 19481 19646 20102 20240 20482 20539 20608 20680 21056 21160 21280 21296 21413 21560 21620 21952 22264 22540 22748 22990 23030 23276 23408 23716 23782 24035 24472 24640 24794 24863 25004 25289 25333 25760 25921 26068 26320 26620 26752 27104 27440 27830 27968 28336 28435 28576 28952 29095 29260 29624 29645 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2156648196010 2464740795440 2509554264448 2816846623360 2936712437120 3000554011840 3136942830560 3450637113616 3632249593280 3943585272704 4313296392020 4929481590880 6001108023680 6273885661120 6901274227232 7264499186560 8626592784040 9858963181760 12547771322240 13802548454464 17253185568080 19717926363520 27605096908928 34506371136160 69012742272320 138025484544640
- Sum of all divisors σ(n): 475651491840000
- Sum of proper divisors (its aliquot sum) s(n): 337626007295360
- 138025484544640 is an abundant number, because the sum of its proper divisors (337626007295360) is greater than itself. Its abundance is 199600522750720
Bases of 138025484544640
- Binary: 111110110001000100011111111100111101010100000002
- Hexadecimal: 0x7D888FF9EA80
- Base-36: 1CXC15S9Z4
Squares and roots of 138025484544640
- 138025484544640 squared (1380254845446402) is 19051034383782655508152729600
- 138025484544640 cubed (1380254845446403) is 2629528251898198144101431944921429049344000
-
The
square root of 138025484544640 is 11748424.7686504765 -
The
cube root of 138025484544640 is 51679.6733710311
Scales and comparisons
How big is 138025484544640?- 138,025,484,544,640 seconds is equal to 4,388,783 years, 24 weeks, 2 days, 5 hours, 30 minutes, 40 seconds.
-
To count from 1 to 138,025,484,544,640 would take you about ten million, nine hundred seventy-one thousand, nine hundred fifty-eight 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 138025484544640 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138025484544640
- 138025484544640 backwards is 046445484520831
- The number of decimal digits it has is: 15
- The sum of 138025484544640's digits is 58
- More coming soon!
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"Number 138025484544640 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138025484544640 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138025484544640/
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The information we have on file for 138025484544640 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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