106385134838400
106,385,134,838,400 is an even composite number composed of five prime numbers multiplied together.
106385134838400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 106385134838400:
27 × 312 × 52 × 113 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 47)See below for interesting mathematical facts about the number 106385134838400 from the Numbermatics database.
Names of 106385134838400
- Cardinal: 106385134838400 can be written as One hundred six trillion, three hundred eighty-five billion, one hundred thirty-four million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.063851348384 × 1014
Factors of 106385134838400
Divisors of 106385134838400
- Number of divisors d(n): 2496
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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 25 27 30 32 33 36 40 44 45 47 48 50 54 55 60 64 66 72 75 80 81 88 90 94 96 99 100 108 110 120 121 128 132 135 141 144 150 160 162 165 176 180 188 192 198 200 216 220 225 235 240 242 243 264 270 275 282 288 297 300 320 324 330 352 360 363 376 384 396 400 405 423 432 440 450 470 480 484 486 495 517 528 540 550 564 576 594 600 605 640 648 660 675 704 705 720 726 729 752 792 800 810 825 846 864 880 891 900 940 960 968 972 990 1034 1056 1080 1089 1100 1128 1152 1175 1188 1200 1210 1215 1269 1296 1320 1331 1350 1408 1410 1440 1452 1458 1485 1504 1551 1584 1600 1620 1650 1692 1728 1760 1782 1800 1815 1880 1920 1936 1944 1980 2025 2068 2112 2115 2160 2178 2187 2200 2256 2350 2376 2400 2420 2430 2475 2538 2585 2592 2640 2662 2673 2700 2820 2880 2904 2916 2970 3008 3025 3102 3168 3200 3240 3267 3300 3384 3456 3520 3525 3564 3600 3630 3645 3760 3807 3872 3888 3960 3993 4050 4136 4224 4230 4320 4356 4374 4400 4455 4512 4653 4700 4752 4800 4840 4860 4950 5076 5170 5184 5280 5324 5346 5400 5445 5640 5687 5760 5808 5832 5940 6016 6050 6075 6204 6336 6345 6480 6534 6561 6600 6655 6768 7040 7050 7128 7200 7260 7290 7425 7520 7614 7744 7755 7776 7920 7986 8019 8100 8272 8460 8640 8712 8748 8800 8910 9024 9075 9306 9400 9504 9600 9680 9720 9801 9900 10152 10340 10368 10560 10575 10648 10692 10800 10890 10935 11280 11374 11421 11616 11664 11880 11979 12100 12150 12408 12672 12690 12925 12960 13068 13122 13200 13310 13365 13536 13959 14100 14256 14400 14520 14580 14850 15040 15228 15488 15510 15552 15840 15972 16038 16200 16335 16544 16920 17061 17280 17424 17496 17600 17820 18048 18150 18225 18612 18800 19008 19035 19360 19440 19602 19683 19800 19965 20304 20680 21120 21150 21296 21384 21600 21780 21870 22275 22560 22748 22842 23232 23265 23328 23760 23958 24057 24200 24300 24816 25380 25850 25920 26136 26244 26400 26620 26730 27072 27225 27918 28200 28435 28512 28800 29040 29160 29403 29700 30080 30456 31020 31104 31680 31725 31944 32076 32400 32670 32805 33088 33275 33840 34122 34263 34848 34992 35200 35640 35937 36300 36450 37224 37600 38016 38070 38720 38775 38880 39204 39366 39600 39930 40095 40608 41360 41877 42300 42592 42768 43200 43560 43740 44550 45120 45496 45684 46464 46530 46656 47520 47916 48114 48400 48600 49005 49632 50760 51183 51700 51840 52272 52488 52800 53240 53460 54144 54450 54675 55836 56400 56870 57024 57105 58080 58320 58806 59049 59400 59895 60912 62040 62557 63360 63450 63888 64152 64800 65340 65610 66176 66550 66825 67680 68244 68526 69696 69795 69984 71280 71874 72171 72600 72900 74448 75200 76140 77440 77550 77760 78408 78732 79200 79860 80190 81216 81675 82720 83754 84600 85184 85305 85536 86400 87120 87480 88209 89100 90240 90992 91368 93060 93312 95040 95175 95832 96228 96800 97200 98010 98415 99264 99825 101520 102366 102789 103400 104544 104976 105600 106480 106920 107811 108900 109350 111672 112800 113740 114048 114210 116160 116325 116640 117612 118098 118800 119790 120285 121824 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221635697580 226351350720 236411410752 241784397360 246261886200 251501500800 262679345280 265962837096 268649330400 277044621975 282939188400 293071996800 295514263440 302230496700 322379196480 328349181600 332453546370 354617116128 358199107200 369392829300 377252251200 386855035776 394019017920 402973995600 437798908800 439607995200 443271395160 452702701440 472822821504 483568794720 492523772400 531925674192 537298660800 554089243950 565878376800 591028526880 604460993400 644758392960 656698363200 664907092740 709234232256 738785658600 754504502400 788038035840 805947991200 831133865925 879215990400 886542790320 967137589440 985047544800 1063851348384 1074597321600 1108178487900 1131756753600 1182057053760 1208921986800 1313396726400 1329814185480 1418468464512 1477571317200 1611895982400 1662267731850 1773085580640 1934275178880 1970095089600 2127702696768 2216356975800 2263513507200 2364114107520 2417843973600 2659628370960 2955142634400 3223791964800 3324535463700 3546171161280 3940190179200 4255405393536 4432713951600 4835687947200 5319256741920 5910285268800 6649070927400 7092342322560 8865427903200 9671375894400 10638513483840 11820570537600 13298141854800 17730855806400 21277026967680 26596283709600 35461711612800 53192567419200 106385134838400
- Sum of all divisors σ(n): 442823063045760
- Sum of proper divisors (its aliquot sum) s(n): 336437928207360
- 106385134838400 is an abundant number, because the sum of its proper divisors (336437928207360) is greater than itself. Its abundance is 230052793368960
Bases of 106385134838400
- Binary: 110000011000001101110000010101111100010100000002
- Hexadecimal: 0x60C1B82BE280
- Base-36: 11PKNMI000
Squares and roots of 106385134838400
- 106385134838400 squared (1063851348384002) is 11317796914584549394114560000
- 106385134838400 cubed (1063851348384003) is 1204045350831704774810182488976687104000000
-
The
square root of 106385134838400 is 10314316.9836106937 -
The
cube root of 106385134838400 is 47383.4831861607
Scales and comparisons
How big is 106385134838400?- 106,385,134,838,400 seconds is equal to 3,382,718 years, 11 weeks, 2 days.
-
To count from 1 to 106,385,134,838,400 would take you about eight million, four hundred fifty-six thousand, seven hundred ninety-five 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 106385134838400 cubic inches would be around 3948.6 feet tall.
Recreational maths with 106385134838400
- 106385134838400 backwards is 004838431583601
- 106385134838400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106385134838400's digits is 54
- More coming soon!
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"Number 106385134838400 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 106385134838400 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/106385134838400/
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The information we have on file for 106385134838400 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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