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1044324144 = 243317433307
BaseRepresentation
bin111110001111110…
…001111100110000
32200210002011102000
4332033301330300
54114321333034
6251343254000
734610415543
oct7617617460
92623064360
101044324144
11496548206
122518aa300
13138488ca6
149c9a885a
1561a39599
hex3e3f1f30

1044324144 has 160 divisors (see below), whose sum is σ = 3248720640. Its totient is φ = 319915008.

The previous prime is 1044324139. The next prime is 1044324233. The reversal of 1044324144 is 4414234401.

It is a super-2 number, since 2×10443241442 = 2181225835482665472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314139 + ... + 317445.

It is an arithmetic number, because the mean of its divisors is an integer number (20304504).

Almost surely, 21044324144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624360320).

1044324144 is an abundant number, since it is smaller than the sum of its proper divisors (2204396496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1044324144 is a wasteful number, since it uses less digits than its factorization.

1044324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1044324144 is about 32316.0044559967. The cubic root of 1044324144 is about 1014.5616439675.

Adding to 1044324144 its reverse (4414234401), we get a palindrome (5458558545).

The spelling of 1044324144 in words is "one billion, forty-four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 43 48 51 54 68 72 86 102 108 129 136 144 153 172 204 216 258 272 306 344 387 408 432 459 516 612 688 731 774 816 918 1032 1161 1224 1462 1548 1836 2064 2193 2322 2448 2924 3096 3307 3672 4386 4644 5848 6192 6579 6614 7344 8772 9288 9921 11696 13158 13228 17544 18576 19737 19842 26316 26456 29763 35088 39474 39684 52632 52912 56219 59526 78948 79368 89289 105264 112438 119052 142201 157896 158736 168657 178578 224876 238104 284402 315792 337314 357156 426603 449752 476208 505971 568804 674628 714312 853206 899504 1011942 1137608 1279809 1349256 1428624 1517913 1706412 2023884 2275216 2417417 2559618 2698512 3035826 3412824 3839427 4047768 4834834 5119236 6071652 6825648 7252251 7678854 8095536 9669668 10238472 12143304 14504502 15357708 19339336 20476944 21756753 24286608 29009004 30715416 38678672 43513506 58018008 61430832 65270259 87027012 116036016 130540518 174054024 261081036 348108048 522162072 1044324144