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4490110944 = 25321110114033
BaseRepresentation
bin1000010111010000…
…11010011111100000
3102120220221021021100
410023220122133200
533143432022234
62021314354400
7216161212314
oct41350323740
912526837240
104490110944
1119a46068a0
12a5388ba00
135673235a7
14308493b44
151b42d8399
hex10ba1a7e0

4490110944 has 144 divisors (see below), whose sum is σ = 14068467504. Its totient is φ = 1347072000.

The previous prime is 4490110939. The next prime is 4490110969.

4490110944 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×44901109442 = 40322192578857142272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4490110899 and 4490110908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312952 + ... + 326984.

It is an arithmetic number, because the mean of its divisors is an integer number (97697691).

Almost surely, 24490110944 is an apocalyptic number.

4490110944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4490110944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034233752).

4490110944 is an abundant number, since it is smaller than the sum of its proper divisors (9578356560).

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

4490110944 is a wasteful number, since it uses less digits than its factorization.

4490110944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14161 (or 14150 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4490110944 is about 67008.2901139852. The cubic root of 4490110944 is about 1649.7533691977.

The spelling of 4490110944 in words is "four billion, four hundred ninety million, one hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 101 132 144 176 198 202 264 288 303 352 396 404 528 606 792 808 909 1056 1111 1212 1584 1616 1818 2222 2424 3168 3232 3333 3636 4444 4848 6666 7272 8888 9696 9999 13332 14033 14544 17776 19998 26664 28066 29088 35552 39996 42099 53328 56132 79992 84198 106656 112264 126297 154363 159984 168396 224528 252594 308726 319968 336792 449056 463089 505188 617452 673584 926178 1010376 1234904 1347168 1389267 1417333 1852356 2020752 2469808 2778534 2834666 3704712 4041504 4251999 4939616 5557068 5669332 7409424 8503998 11114136 11338664 12755997 14818848 15590663 17007996 22228272 22677328 25511994 31181326 34015992 44456544 45354656 46771989 51023988 62362652 68031984 93543978 102047976 124725304 136063968 140315967 187087956 204095952 249450608 280631934 374175912 408191904 498901216 561263868 748351824 1122527736 1496703648 2245055472 4490110944