400068144
400,068,144 is an even composite number composed of five prime numbers multiplied together.
400068144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy divisors.
Prime factorization of 400068144:
24 × 32 × 72 × 312 × 59
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 31 × 31 × 59)See below for interesting mathematical facts about the number 400068144 from the Numbermatics database.
Names of 400068144
- Cardinal: 400068144 can be written as Four hundred million, sixty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.00068144 × 108
Factors of 400068144
Divisors of 400068144
- Number of divisors d(n): 270
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 49 56 59 62 63 72 84 93 98 112 118 124 126 144 147 168 177 186 196 217 236 248 252 279 294 336 354 372 392 413 434 441 472 496 504 531 558 588 651 708 744 784 826 868 882 944 961 1008 1062 1116 1176 1239 1302 1416 1488 1519 1652 1736 1764 1829 1922 1953 2124 2232 2352 2478 2604 2832 2883 2891 3038 3304 3472 3528 3658 3717 3844 3906 4248 4464 4557 4956 5208 5487 5766 5782 6076 6608 6727 7056 7316 7434 7688 7812 8496 8649 8673 9114 9912 10416 10974 11532 11564 12152 12803 13454 13671 14632 14868 15376 15624 16461 17298 17346 18228 19824 20181 21948 23064 23128 24304 25606 26019 26908 27342 29264 29736 31248 32922 34596 34692 36456 38409 40362 43896 46128 46256 47089 51212 52038 53816 54684 56699 59472 60543 65844 69192 69384 72912 76818 80724 87792 89621 94178 102424 104076 107632 109368 113398 115227 121086 131688 138384 138768 141267 153636 161448 170097 179242 188356 204848 208152 218736 226796 230454 242172 263376 268863 282534 307272 322896 340194 358484 376712 396893 416304 423801 453592 460908 484344 510291 537726 565068 614544 680388 716968 753424 793786 806589 847602 907184 921816 968688 1020582 1075452 1130136 1190679 1360776 1433936 1587572 1613178 1695204 1843632 2041164 2150904 2260272 2381358 2721552 2778251 3175144 3226356 3390408 3572037 4082328 4301808 4762716 5556502 6350288 6452712 6780816 7144074 8164656 8334753 9525432 11113004 12905424 14288148 16669506 19050864 22226008 25004259 28576296 33339012 44452016 50008518 57152592 66678024 100017036 133356048 200034072 400068144
- Sum of all divisors σ(n): 1368612180
- Sum of proper divisors (its aliquot sum) s(n): 968544036
- 400068144 is an abundant number, because the sum of its proper divisors (968544036) is greater than itself. Its abundance is 568475892
Bases of 400068144
- Binary: 101111101100010001110001100002
- Hexadecimal: 0x17D88E30
- Base-36: 6M6UK0
Squares and roots of 400068144
- 400068144 squared (4000681442) is 160054519843604736
- 400068144 cubed (4000681443) is 64032714692642117001129984
-
The
square root of 400068144 is 20001.7035274499 -
The
cube root of 400068144 is 736.8481381261
Scales and comparisons
How big is 400068144?- 400,068,144 seconds is equal to 12 years, 37 weeks, 3 days, 10 hours, 2 minutes, 24 seconds.
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To count from 1 to 400,068,144 would take you about nineteen 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 400068144 cubic inches would be around 61.4 feet tall.
Recreational maths with 400068144
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