29142960
29,142,960 is an even composite number composed of seven prime numbers multiplied together.
29142960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 29142960:
24 × 3 × 5 × 7 × 11 × 19 × 83
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 19 × 83)See below for interesting mathematical facts about the number 29142960 from the Numbermatics database.
Names of 29142960
- Cardinal: 29142960 can be written as Twenty-nine million, one hundred forty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.914296 × 107
Factors of 29142960
Divisors of 29142960
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 19 20 21 22 24 28 30 33 35 38 40 42 44 48 55 56 57 60 66 70 76 77 80 83 84 88 95 105 110 112 114 120 132 133 140 152 154 165 166 168 176 190 209 210 220 228 231 240 249 264 266 280 285 304 308 330 332 336 380 385 399 415 418 420 440 456 462 498 528 532 560 570 581 616 627 660 664 665 760 770 798 830 836 840 880 912 913 924 996 1045 1064 1140 1155 1162 1232 1245 1254 1320 1328 1330 1463 1520 1540 1577 1596 1660 1672 1680 1743 1826 1848 1992 1995 2090 2128 2280 2310 2324 2490 2508 2640 2660 2739 2905 2926 3080 3135 3154 3192 3320 3344 3486 3652 3696 3984 3990 4180 4389 4560 4565 4620 4648 4731 4980 5016 5320 5478 5810 5852 6160 6270 6308 6384 6391 6640 6972 7304 7315 7885 7980 8360 8715 8778 9130 9240 9296 9462 9960 10032 10640 10956 11039 11620 11704 12540 12616 12782 13695 13944 14608 14630 15770 15960 16720 17347 17430 17556 18260 18480 18924 19173 19920 21912 21945 22078 23240 23408 23655 25080 25232 25564 27390 27888 29260 31540 31920 31955 33117 34694 34860 35112 36520 37848 38346 43824 43890 44156 46480 47310 50160 51128 52041 54780 55195 58520 63080 63910 66234 69388 69720 70224 73040 75696 76692 86735 87780 88312 94620 95865 102256 104082 109560 110390 117040 121429 126160 127820 132468 138776 139440 153384 165585 173470 175560 176624 189240 191730 208164 219120 220780 242858 255640 260205 264936 277552 306768 331170 346940 351120 364287 378480 383460 416328 441560 485716 511280 520410 529872 607145 662340 693880 728574 766920 832656 883120 971432 1040820 1214290 1324680 1387760 1457148 1533840 1821435 1942864 2081640 2428580 2649360 2914296 3642870 4163280 4857160 5828592 7285740 9714320 14571480 29142960
- Sum of all divisors σ(n): 119992320
- Sum of proper divisors (its aliquot sum) s(n): 90849360
- 29142960 is an abundant number, because the sum of its proper divisors (90849360) is greater than itself. Its abundance is 61706400
Bases of 29142960
- Binary: 11011110010101111101100002
- Hexadecimal: 0x1BCAFB0
- Base-36: HCMUO
Squares and roots of 29142960
- 29142960 squared (291429602) is 849312117561600
- 29142960 cubed (291429603) is 24751469069613006336000
-
The
square root of 29142960 is 5398.4219916565 -
The
cube root of 29142960 is 307.7357040073
Scales and comparisons
How big is 29142960?- 29,142,960 seconds is equal to 48 weeks, 1 day, 7 hours, 16 minutes.
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To count from 1 to 29,142,960 would take you about twenty weeks!
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 29142960 cubic inches would be around 25.6 feet tall.
Recreational maths with 29142960
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