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1314185856 = 2737943321
BaseRepresentation
bin100111001010100…
…1110001010000000
310101120212120002020
41032111032022000
510142412421411
6334223321440
744365252434
oct11625161200
93346776066
101314185856
11614907315
12308150280
1317c363b89
14c67749c4
157a593606
hex4e54e280

1314185856 has 64 divisors (see below), whose sum is σ = 3535075200. Its totient is φ = 432506880.

The previous prime is 1314185809. The next prime is 1314185879. The reversal of 1314185856 is 6585814131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13141858562 = 3454168928220905472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8676 + ... + 51996.

It is an arithmetic number, because the mean of its divisors is an integer number (55235550).

Almost surely, 21314185856 is an apocalyptic number.

1314185856 is a gapful number since it is divisible by the number (16) 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 1314185856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767537600).

1314185856 is an abundant number, since it is smaller than the sum of its proper divisors (2220889344).

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

1314185856 is an equidigital number, since it uses as much as digits as its factorization.

1314185856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43417 (or 43405 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 1314185856 is about 36251.7014221402. The cubic root of 1314185856 is about 1095.3483614615.

Adding to 1314185856 its reverse (6585814131), we get a palindrome (7899999987).

The spelling of 1314185856 in words is "one billion, three hundred fourteen million, one hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 43321 86642 129963 173284 259926 346568 519852 693136 1039704 1386272 2079408 2772544 3422359 4158816 5545088 6844718 8317632 10267077 13689436 16635264 20534154 27378872 41068308 54757744 82136616 109515488 164273232 219030976 328546464 438061952 657092928 1314185856