42393120
42,393,120 is an even composite number composed of seven prime numbers multiplied together.
42393120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42393120:
25 × 3 × 5 × 7 × 11 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 31 × 37)See below for interesting mathematical facts about the number 42393120 from the Numbermatics database.
Names of 42393120
- Cardinal: 42393120 can be written as Forty-two million, three hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.239312 × 107
Factors of 42393120
Divisors of 42393120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 31 32 33 35 37 40 42 44 48 55 56 60 62 66 70 74 77 80 84 88 93 96 105 110 111 112 120 124 132 140 148 154 155 160 165 168 176 185 186 210 217 220 222 224 231 240 248 259 264 280 296 308 310 330 336 341 352 370 372 385 407 420 434 440 444 462 465 480 496 518 528 555 560 592 616 620 651 660 672 682 740 744 770 777 814 840 868 880 888 924 930 992 1023 1036 1056 1085 1110 1120 1147 1155 1184 1221 1232 1240 1295 1302 1320 1364 1480 1488 1540 1554 1628 1680 1705 1736 1760 1776 1848 1860 2035 2046 2072 2170 2220 2294 2310 2387 2442 2464 2480 2590 2604 2640 2728 2849 2960 2976 3080 3108 3255 3256 3360 3410 3441 3472 3552 3696 3720 3885 4070 4092 4144 4340 4440 4588 4620 4774 4884 4960 5115 5180 5208 5280 5456 5698 5735 5920 6105 6160 6216 6510 6512 6820 6882 6944 7161 7392 7440 7770 8029 8140 8184 8288 8547 8680 8880 9176 9240 9548 9768 10230 10360 10416 10912 11396 11470 11935 12210 12320 12432 12617 13020 13024 13640 13764 14245 14322 14880 15540 16058 16280 16368 17094 17205 17360 17760 18352 18480 19096 19536 20460 20720 20832 22792 22940 23870 24087 24420 24864 25234 26040 27280 27528 28490 28644 31080 32116 32560 32736 34188 34410 34720 35805 36704 36960 37851 38192 39072 40145 40920 41440 42735 45584 45880 47740 48174 48840 50468 52080 54560 55056 56980 57288 62160 63085 64232 65120 68376 68820 71610 75702 76384 80290 81840 85470 88319 91168 91760 95480 96348 97680 100936 104160 110112 113960 114576 120435 124320 126170 128464 136752 137640 143220 151404 160580 163680 170940 176638 183520 189255 190960 192696 195360 201872 227920 229152 240870 252340 256928 264957 273504 275280 286440 302808 321160 341880 353276 378510 381920 385392 403744 441595 455840 481740 504680 529914 550560 572880 605616 642320 683760 706552 757020 770784 883190 963480 1009360 1059828 1145760 1211232 1284640 1324785 1367520 1413104 1514040 1766380 1926960 2018720 2119656 2649570 2826208 3028080 3532760 3853920 4239312 5299140 6056160 7065520 8478624 10598280 14131040 21196560 42393120
- Sum of all divisors σ(n): 176504832
- Sum of proper divisors (its aliquot sum) s(n): 134111712
- 42393120 is an abundant number, because the sum of its proper divisors (134111712) is greater than itself. Its abundance is 91718592
Bases of 42393120
- Binary: 101000011011011110001000002
- Hexadecimal: 0x286DE20
- Base-36: P8MQO
Squares and roots of 42393120
- 42393120 squared (423931202) is 1797176623334400
- 42393120 cubed (423931203) is 76187924254210019328000
-
The
square root of 42393120 is 6510.9999232069 -
The
cube root of 42393120 is 348.6838185847
Scales and comparisons
How big is 42393120?- 42,393,120 seconds is equal to 1 year, 18 weeks, 15 hours, 52 minutes.
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To count from 1 to 42,393,120 would take you about two 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 42393120 cubic inches would be around 29.1 feet tall.
Recreational maths with 42393120
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