47013120
47,013,120 is an even composite number composed of six prime numbers multiplied together.
47013120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 47013120:
28 × 32 × 5 × 7 × 11 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 53)See below for interesting mathematical facts about the number 47013120 from the Numbermatics database.
Names of 47013120
- Cardinal: 47013120 can be written as Forty-seven million, thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.701312 × 107
Factors of 47013120
Divisors of 47013120
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 53 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 106 110 112 120 126 128 132 140 144 154 159 160 165 168 176 180 192 198 210 212 220 224 231 240 252 256 264 265 280 288 308 315 318 320 330 336 352 360 371 384 385 396 420 424 440 448 462 477 480 495 504 528 530 560 576 583 616 630 636 640 660 672 693 704 720 742 768 770 792 795 840 848 880 896 924 954 960 990 1008 1056 1060 1113 1120 1152 1155 1166 1232 1260 1272 1280 1320 1344 1386 1408 1440 1484 1540 1584 1590 1680 1696 1749 1760 1792 1848 1855 1908 1920 1980 2016 2112 2120 2226 2240 2304 2310 2332 2385 2464 2520 2544 2640 2688 2772 2816 2880 2915 2968 3080 3168 3180 3339 3360 3392 3465 3498 3520 3696 3710 3816 3840 3960 4032 4081 4224 4240 4452 4480 4620 4664 4770 4928 5040 5088 5247 5280 5376 5544 5565 5760 5830 5936 6160 6336 6360 6678 6720 6784 6930 6996 7040 7392 7420 7632 7920 8064 8162 8448 8480 8745 8904 8960 9240 9328 9540 9856 10080 10176 10494 10560 11088 11130 11520 11660 11872 12243 12320 12672 12720 13356 13440 13568 13860 13992 14080 14784 14840 15264 15840 16128 16324 16695 16960 17490 17808 18480 18656 19080 19712 20160 20352 20405 20988 21120 22176 22260 23320 23744 24486 24640 25344 25440 26235 26712 26880 27720 27984 29568 29680 30528 31680 32648 33390 33920 34980 35616 36729 36960 37312 38160 40320 40704 40810 41976 42240 44352 44520 46640 47488 48972 49280 50880 52470 53424 55440 55968 59136 59360 61056 61215 63360 65296 66780 67840 69960 71232 73458 73920 74624 76320 80640 81620 83952 88704 89040 93280 94976 97944 98560 101760 104940 106848 110880 111936 118720 122112 122430 126720 130592 133560 139920 142464 146916 147840 149248 152640 163240 167904 177408 178080 183645 186560 195888 203520 209880 213696 221760 223872 237440 244860 261184 267120 279840 284928 293832 295680 305280 326480 335808 356160 367290 373120 391776 419760 427392 443520 447744 474880 489720 522368 534240 559680 587664 610560 652960 671616 712320 734580 746240 783552 839520 854784 887040 979440 1044736 1068480 1119360 1175328 1305920 1343232 1424640 1469160 1567104 1679040 1958880 2136960 2238720 2350656 2611840 2938320 3134208 3358080 3917760 4273920 4701312 5223680 5876640 6716160 7835520 9402624 11753280 15671040 23506560 47013120
- Sum of all divisors σ(n): 206623872
- Sum of proper divisors (its aliquot sum) s(n): 159610752
- 47013120 is an abundant number, because the sum of its proper divisors (159610752) is greater than itself. Its abundance is 112597632
Bases of 47013120
- Binary: 101100110101011101000000002
- Hexadecimal: 0x2CD5D00
- Base-36: RZNK0
Squares and roots of 47013120
- 47013120 squared (470131202) is 2210233452134400
- 47013120 cubed (470131203) is 103909970513208803328000
-
The
square root of 47013120 is 6856.6114079769 -
The
cube root of 47013120 is 360.9161848885
Scales and comparisons
How big is 47013120?- 47,013,120 seconds is equal to 1 year, 25 weeks, 5 days, 3 hours, 12 minutes.
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To count from 1 to 47,013,120 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 47013120 cubic inches would be around 30.1 feet tall.
Recreational maths with 47013120
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