342117120
342,117,120 is an even composite number composed of five prime numbers multiplied together.
342117120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 342117120:
28 × 3 × 5 × 412 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 41 × 41 × 53)See below for interesting mathematical facts about the number 342117120 from the Numbermatics database.
Names of 342117120
- Cardinal: 342117120 can be written as Three hundred forty-two million, one hundred seventeen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.4211712 × 108
Factors of 342117120
Divisors of 342117120
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 53 60 64 80 82 96 106 120 123 128 159 160 164 192 205 212 240 246 256 265 318 320 328 384 410 424 480 492 530 615 636 640 656 768 795 820 848 960 984 1060 1230 1272 1280 1312 1590 1640 1681 1696 1920 1968 2120 2173 2460 2544 2624 3180 3280 3362 3392 3840 3936 4240 4346 4920 5043 5088 5248 6360 6519 6560 6724 6784 7872 8405 8480 8692 9840 10086 10176 10496 10865 12720 13038 13120 13448 13568 15744 16810 16960 17384 19680 20172 20352 21730 25215 25440 26076 26240 26896 31488 32595 33620 33920 34768 39360 40344 40704 43460 50430 50880 52152 52480 53792 65190 67240 67840 69536 78720 80688 86920 89093 100860 101760 104304 107584 130380 134480 139072 157440 161376 173840 178186 201720 203520 208608 215168 260760 267279 268960 278144 322752 347680 356372 403440 417216 430336 445465 521520 534558 537920 556288 645504 695360 712744 806880 834432 890930 1043040 1069116 1075840 1291008 1336395 1390720 1425488 1613760 1668864 1781860 2086080 2138232 2151680 2672790 2781440 2850976 3227520 3563720 4172160 4276464 5345580 5701952 6455040 7127440 8344320 8552928 10691160 11403904 14254880 17105856 21382320 22807808 28509760 34211712 42764640 57019520 68423424 85529280 114039040 171058560 342117120
- Sum of all divisors σ(n): 1141067088
- Sum of proper divisors (its aliquot sum) s(n): 798949968
- 342117120 is an abundant number, because the sum of its proper divisors (798949968) is greater than itself. Its abundance is 456832848
Bases of 342117120
- Binary: 101000110010001001011000000002
- Hexadecimal: 0x14644B00
- Base-36: 5NOR9C
Squares and roots of 342117120
- 342117120 squared (3421171202) is 117044123797094400
- 342117120 cubed (3421171203) is 40042798546385400496128000
-
The
square root of 342117120 is 18496.4082999917 -
The
cube root of 342117120 is 699.3988853101
Scales and comparisons
How big is 342117120?- 342,117,120 seconds is equal to 10 years, 45 weeks, 4 days, 16 hours, 32 minutes.
-
To count from 1 to 342,117,120 would take you about sixteen 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 342117120 cubic inches would be around 58.3 feet tall.
Recreational maths with 342117120
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