138069823288320
138,069,823,288,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138069823288320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2376 divisors.
138069823288320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 138069823288320:
210 × 32 × 5 × 72 × 11 × 532 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 138069823288320 from the Numbermatics database.
Names of 138069823288320
- Cardinal: 138069823288320 can be written as One hundred thirty-eight trillion, sixty-nine billion, eight hundred twenty-three million, two hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3806982328832 × 1014
Factors of 138069823288320
Divisors of 138069823288320
- Number of divisors d(n): 2376
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 49 53 55 56 60 63 64 66 70 72 77 80 84 88 90 96 98 99 105 106 110 112 120 126 128 132 140 144 147 154 159 160 165 168 176 180 192 196 198 210 212 220 224 231 240 245 252 256 264 265 280 288 294 308 315 318 320 330 336 352 360 371 384 385 392 396 420 424 440 441 448 462 477 480 490 495 504 512 528 530 539 560 576 583 588 616 630 636 640 660 672 693 704 720 735 742 768 770 784 792 795 840 848 880 882 896 924 954 960 980 990 1008 1024 1056 1060 1078 1113 1120 1152 1155 1166 1176 1232 1260 1272 1280 1320 1344 1386 1408 1440 1470 1484 1536 1540 1568 1584 1590 1617 1680 1696 1749 1760 1764 1792 1848 1855 1908 1920 1960 1979 1980 2016 2112 2120 2156 2205 2226 2240 2304 2310 2332 2352 2385 2464 2520 2544 2560 2597 2640 2688 2695 2772 2809 2816 2880 2915 2940 2968 3072 3080 3136 3168 3180 3234 3339 3360 3392 3465 3498 3520 3528 3584 3696 3710 3816 3840 3920 3958 3960 4032 4081 4224 4240 4312 4410 4452 4480 4608 4620 4664 4704 4770 4851 4928 5040 5088 5120 5194 5247 5280 5376 5390 5544 5565 5618 5632 5760 5830 5880 5936 5937 6160 6272 6336 6360 6468 6678 6720 6784 6930 6996 7040 7056 7168 7392 7420 7632 7680 7791 7840 7916 7920 8064 8085 8162 8427 8448 8480 8624 8745 8820 8904 8960 9216 9240 9328 9408 9540 9702 9856 9895 10080 10176 10388 10494 10560 10752 10780 11088 11130 11236 11264 11520 11660 11760 11872 11874 12243 12320 12544 12672 12720 12936 12985 13356 13440 13568 13853 13860 13992 14045 14080 14112 14784 14840 15264 15360 15582 15680 15832 15840 16128 16170 16324 16695 16854 16896 16960 17248 17490 17640 17808 17811 17920 18480 18656 18816 19080 19404 19663 19712 19790 20160 20352 20405 20776 20988 21120 21504 21560 21769 22176 22260 22472 23040 23320 23373 23520 23744 23748 24255 24486 24640 25088 25281 25344 25440 25872 25970 26235 26712 26880 27136 27706 27720 27984 28090 28160 28224 28567 29568 29680 29685 30528 30899 31164 31360 31664 31680 32256 32340 32648 33390 33708 33792 33920 34496 34980 35280 35616 35622 35840 36729 36960 37312 37632 38160 38808 38955 39326 39424 39580 40320 40704 40810 41552 41559 41976 42135 42240 43120 43538 44352 44520 44944 46080 46640 46746 47040 47488 47496 48510 48972 49280 50176 50562 50688 50880 51744 51940 52470 53424 53760 54272 55412 55440 55968 56180 56320 56448 57134 58989 59136 59360 59370 61056 61215 61798 62328 62720 63328 63360 64512 64680 65296 65307 66780 67416 67840 68992 69265 69960 70560 71232 71244 73458 73920 74624 75264 76320 77616 77910 78652 78848 79160 80640 81408 81620 83104 83118 83952 84270 84480 85701 86240 87076 88704 89040 89055 89888 92697 93280 93492 94080 94976 94992 96971 97020 97944 98315 98560 101124 101376 101760 103488 103880 104887 104940 106848 107520 108845 110824 110880 111936 112360 112896 114268 116865 117978 118272 118720 118740 122112 122430 123596 124656 124677 125440 126405 126656 126720 129360 130592 130614 133560 134832 135680 137641 137984 138530 139920 141120 142464 142488 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3287376744960 3451745582208 3835272869120 3944852093952 4183934039040 4314681977760 4602327442944 4931065117440 5752909303680 6275901058560 6574753489920 6903491164416 7670545738240 8629363955520 9204654885888 9862130234880 11505818607360 12551802117120 13806982328832 15341091476480 17258727911040 19724260469760 23011637214720 27613964657664 34517455822080 46023274429440 69034911644160 138069823288320
- Sum of all divisors σ(n): 619091847934560
- Sum of proper divisors (its aliquot sum) s(n): 481022024646240
- 138069823288320 is an abundant number, because the sum of its proper divisors (481022024646240) is greater than itself. Its abundance is 342952201357920
Bases of 138069823288320
- Binary: 111110110010010111000101100010101110100000000002
- Hexadecimal: 0x7D92E2C57400
- Base-36: 1CXWEFXFK0
Squares and roots of 138069823288320
- 138069823288320 squared (1380698232883202) is 19063276102867911817848422400
- 138069823288320 cubed (1380698232883203) is 2632063162819426143048816256919292346368000
-
The
square root of 138069823288320 is 11750311.6251578621 -
The
cube root of 138069823288320 is 51685.2065677473
Scales and comparisons
How big is 138069823288320?- 138,069,823,288,320 seconds is equal to 4,390,193 years, 15 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 138,069,823,288,320 would take you about ten million, nine hundred seventy-five thousand, four hundred eighty-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 138069823288320 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138069823288320
- 138069823288320 backwards is 023882328960831
- 138069823288320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138069823288320's digits is 63
- More coming soon!
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The information we have on file for 138069823288320 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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