842442120
842,442,120 is an even composite number composed of six prime numbers multiplied together.
842442120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 842442120:
23 × 35 × 5 × 13 × 59 × 113
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 59 × 113)See below for interesting mathematical facts about the number 842442120 from the Numbermatics database.
Names of 842442120
- Cardinal: 842442120 can be written as Eight hundred forty-two million, four hundred forty-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 8.4244212 × 108
Factors of 842442120
Divisors of 842442120
- Number of divisors d(n): 384
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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 45 52 54 59 60 65 72 78 81 90 104 108 113 117 118 120 130 135 156 162 177 180 195 216 226 234 236 243 260 270 295 312 324 339 351 354 360 390 405 452 468 472 486 520 531 540 565 585 590 648 678 702 708 767 780 810 885 904 936 972 1017 1053 1062 1080 1130 1170 1180 1215 1356 1404 1416 1469 1534 1560 1593 1620 1695 1755 1770 1944 2034 2106 2124 2260 2301 2340 2360 2430 2655 2712 2808 2938 3051 3068 3159 3186 3240 3390 3510 3540 3835 4068 4212 4248 4407 4520 4602 4680 4779 4860 5085 5265 5310 5876 6102 6136 6318 6372 6667 6780 6903 7020 7080 7345 7670 7965 8136 8424 8814 9153 9204 9558 9720 10170 10530 10620 11505 11752 12204 12636 12744 13221 13334 13560 13806 14040 14337 14690 15255 15340 15795 15930 17628 18306 18408 19116 20001 20340 20709 21060 21240 22035 23010 23895 24408 25272 26442 26668 27459 27612 28674 29380 30510 30680 31590 31860 33335 34515 35256 36612 38232 39663 40002 40680 41418 42120 44070 45765 46020 47790 52884 53336 54918 55224 57348 58760 60003 61020 62127 63180 63720 66105 66670 69030 71685 73224 79326 80004 82836 86671 88140 91530 92040 95580 100005 103545 105768 109836 114696 118989 120006 122040 124254 126360 132210 133340 137295 138060 143370 158652 160008 165672 173342 176280 180009 183060 186381 191160 198315 200010 207090 219672 237978 240012 248508 260013 264420 266680 274590 276120 286740 300015 310635 317304 346684 356967 360018 366120 372762 396630 400020 414180 433355 475956 480024 497016 520026 528840 540027 549180 573480 594945 600030 621270 693368 713934 720036 745524 780039 793260 800040 828360 866710 900045 931905 951912 1040052 1080054 1098360 1189890 1200060 1242540 1300065 1427868 1440072 1491048 1560078 1586520 1620081 1733420 1784835 1800090 1863810 2080104 2160108 2340117 2379780 2400120 2485080 2600130 2700135 2855736 3120156 3240162 3466840 3569670 3600180 3727620 3900195 4320216 4680234 4759560 5200260 5400270 6240312 6480324 7020351 7139340 7200360 7455240 7800390 8100405 9360468 10400520 10800540 11700585 12960648 14040702 14278680 15600780 16200810 18720936 21061053 21601080 23401170 28081404 31201560 32401620 35101755 42122106 46802340 56162808 64803240 70203510 84244212 93604680 105305265 140407020 168488424 210610530 280814040 421221060 842442120
- Sum of all divisors σ(n): 3137097600
- Sum of proper divisors (its aliquot sum) s(n): 2294655480
- 842442120 is an abundant number, because the sum of its proper divisors (2294655480) is greater than itself. Its abundance is 1452213360
Bases of 842442120
- Binary: 1100100011011010100101100010002
- Hexadecimal: 0x3236A588
- Base-36: DXKGI0
Squares and roots of 842442120
- 842442120 squared (8424421202) is 709708725550094400
- 842442120 cubed (8424421203) is 597888523334919692536128000
-
The
square root of 842442120 is 29024.8534880023 -
The
cube root of 842442120 is 944.4522903257
Scales and comparisons
How big is 842442120?- 842,442,120 seconds is equal to 26 years, 40 weeks, 6 days, 11 hours, 42 minutes.
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To count from 1 to 842,442,120 would take you about forty 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 842442120 cubic inches would be around 78.7 feet tall.
Recreational maths with 842442120
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