138682063224320
138,682,063,224,320 is an even composite number composed of seven prime numbers multiplied together.
138682063224320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138682063224320:
29 × 5 × 7 × 114 × 172 × 31 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 11 × 11 × 17 × 17 × 31 × 59)See below for interesting mathematical facts about the number 138682063224320 from the Numbermatics database.
Names of 138682063224320
- Cardinal: 138682063224320 can be written as One hundred thirty-eight trillion, six hundred eighty-two billion, sixty-three million, two hundred twenty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3868206322432 × 1014
Factors of 138682063224320
Divisors of 138682063224320
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 28 31 32 34 35 40 44 55 56 59 62 64 68 70 77 80 85 88 110 112 118 119 121 124 128 136 140 154 155 160 170 176 187 217 220 224 236 238 242 248 256 272 280 289 295 308 310 320 340 341 352 374 385 413 434 440 448 472 476 484 496 512 527 544 560 578 590 595 605 616 620 640 649 680 682 704 748 770 826 847 868 880 896 935 944 952 968 992 1003 1054 1085 1088 1120 1156 1180 1190 1210 1232 1240 1280 1298 1309 1331 1360 1364 1408 1445 1496 1540 1652 1694 1705 1736 1760 1792 1829 1870 1888 1904 1936 1984 2006 2023 2057 2065 2108 2170 2176 2240 2312 2360 2380 2387 2420 2464 2480 2560 2596 2618 2635 2662 2720 2728 2816 2890 2992 3080 3179 3245 3304 3388 3410 3472 3520 3584 3658 3689 3740 3751 3776 3808 3872 3968 4012 4046 4114 4130 4216 4235 4340 4352 4480 4543 4624 4720 4760 4774 4840 4928 4960 5015 5192 5236 5270 5324 5440 5456 5632 5780 5797 5984 6160 6358 6490 6545 6608 6655 6776 6820 6944 7021 7040 7139 7316 7378 7480 7502 7552 7616 7744 7936 8024 8092 8228 8260 8432 8470 8680 8704 8959 8960 9086 9145 9248 9317 9440 9520 9548 9680 9856 9920 10030 10115 10285 10384 10472 10540 10648 10880 10912 11033 11560 11594 11935 11968 12320 12716 12803 12980 13090 13216 13310 13552 13640 13888 14042 14080 14278 14399 14632 14641 14756 14960 15004 15104 15232 15488 15872 15895 16048 16184 16456 16520 16864 16940 17051 17360 17918 17920 18172 18290 18445 18496 18634 18755 18880 19040 19096 19360 19712 19840 20060 20119 20230 20570 20768 20944 21080 21296 21760 21824 22066 22253 22627 22715 23120 23188 23870 23936 24640 25432 25606 25960 26180 26257 26432 26620 27104 27280 27776 28084 28160 28556 28798 28985 29264 29282 29512 29920 30008 30208 30464 30976 31093 31790 32096 32368 32912 33040 33728 33880 34102 34720 34969 35105 35695 35836 36344 36580 36890 36992 37268 37510 37760 38080 38192 38720 39424 39680 40120 40238 40460 40579 41140 41261 41536 41888 42160 42592 43520 43648 44132 44506 44795 45254 45430 46240 46376 46585 47740 47872 49280 49973 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894722988544 900532878080 990586165888 1019721053120 1083453618940 1118403735680 1146132753920 1165395489280 1175271722240 1238232707360 1260746029312 1575932536640 1631553684992 1733525790304 1801065756160 1981172331776 2039442106240 2166907237880 2236807471360 2350543444480 2476465414720 2521492058624 3151865073280 3467051580608 3962344663552 4078884212480 4333814475760 4473614942720 4952930829440 6303730146560 6934103161216 8157768424960 8667628951520 9905861658880 12607460293120 13868206322432 17335257903040 19811723317760 27736412644864 34670515806080 69341031612160 138682063224320
- Sum of all divisors σ(n): 466140893644800
- Sum of proper divisors (its aliquot sum) s(n): 327458830420480
- 138682063224320 is an abundant number, because the sum of its proper divisors (327458830420480) is greater than itself. Its abundance is 188776767196160
Bases of 138682063224320
- Binary: 111111000100001011011110001110101111110000000002
- Hexadecimal: 0x7E216F1D7E00
- Base-36: 1D5PNRS1KW
Squares and roots of 138682063224320
- 138682063224320 squared (1386820632243202) is 19232714660154289794639462400
- 138682063224320 cubed (1386820632243203) is 2667232550474823359586257273576455405568000
-
The
square root of 138682063224320 is 11776334.8807818809 -
The
cube root of 138682063224320 is 51761.4894447837
Scales and comparisons
How big is 138682063224320?- 138,682,063,224,320 seconds is equal to 4,409,660 years, 33 weeks, 1 day, 12 hours, 5 minutes, 20 seconds.
-
To count from 1 to 138,682,063,224,320 would take you about eleven million, twenty-four thousand, one hundred fifty-one 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 138682063224320 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138682063224320
- 138682063224320 backwards is 023422360286831
- The number of decimal digits it has is: 15
- The sum of 138682063224320's digits is 50
- More coming soon!
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Cite this page
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"Number 138682063224320 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 138682063224320 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138682063224320/
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The information we have on file for 138682063224320 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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