105342120
105,342,120 is an even composite number composed of six prime numbers multiplied together.
105342120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 105342120:
23 × 34 × 5 × 13 × 41 × 61
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 41 × 61)See below for interesting mathematical facts about the number 105342120 from the Numbermatics database.
Names of 105342120
- Cardinal: 105342120 can be written as One hundred five million, three hundred forty-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0534212 × 108
Factors of 105342120
Divisors of 105342120
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 41 45 52 54 60 61 65 72 78 81 82 90 104 108 117 120 122 123 130 135 156 162 164 180 183 195 205 216 234 244 246 260 270 305 312 324 328 351 360 366 369 390 405 410 468 488 492 520 533 540 549 585 610 615 648 702 732 738 780 793 810 820 915 936 984 1053 1066 1080 1098 1107 1170 1220 1230 1404 1464 1476 1560 1586 1599 1620 1640 1647 1755 1830 1845 2106 2132 2196 2214 2340 2379 2440 2460 2501 2665 2745 2808 2952 3172 3198 3240 3294 3321 3510 3660 3690 3965 4212 4264 4392 4428 4680 4758 4797 4920 4941 5002 5265 5330 5490 5535 6344 6396 6588 6642 7020 7137 7320 7380 7503 7930 7995 8235 8424 8856 9516 9594 9882 10004 10530 10660 10980 11070 11895 12505 12792 13176 13284 14040 14274 14391 14760 15006 15860 15990 16470 16605 19032 19188 19764 20008 21060 21320 21411 21960 22140 22509 23790 23985 24705 25010 26568 28548 28782 30012 31720 31980 32513 32940 33210 35685 37515 38376 39528 42120 42822 43173 44280 45018 47580 47970 49410 50020 57096 57564 60024 63960 64233 65026 65880 66420 67527 71370 71955 75030 85644 86346 90036 95160 95940 97539 98820 100040 107055 112545 115128 128466 130052 132840 135054 142740 143910 150060 162565 171288 172692 180072 191880 195078 197640 202581 214110 215865 225090 256932 260104 270108 285480 287820 292617 300120 321165 325130 337635 345384 390156 405162 428220 431730 450180 487695 513864 540216 575640 585234 642330 650260 675270 780312 810324 856440 863460 877851 900360 975390 1012905 1170468 1284660 1300520 1350540 1463085 1620648 1726920 1755702 1950780 2025810 2340936 2569320 2633553 2701080 2926170 3511404 3901560 4051620 4389255 5267106 5852340 7022808 8103240 8778510 10534212 11704680 13167765 17557020 21068424 26335530 35114040 52671060 105342120
- Sum of all divisors σ(n): 397005840
- Sum of proper divisors (its aliquot sum) s(n): 291663720
- 105342120 is an abundant number, because the sum of its proper divisors (291663720) is greater than itself. Its abundance is 186321600
Bases of 105342120
- Binary: 1100100011101100100101010002
- Hexadecimal: 0x64764A8
- Base-36: 1QPUI0
Squares and roots of 105342120
- 105342120 squared (1053421202) is 11096962246094400
- 105342120 cubed (1053421203) is 1168977528563545816128000
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The
square root of 105342120 is 10263.6309364669 -
The
cube root of 105342120 is 472.2812290329
Scales and comparisons
How big is 105342120?- 105,342,120 seconds is equal to 3 years, 18 weeks, 1 day, 5 hours, 42 minutes.
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To count from 1 to 105,342,120 would take you about 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 105342120 cubic inches would be around 39.4 feet tall.
Recreational maths with 105342120
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