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1314870256 = 247234671093
BaseRepresentation
bin100111001011111…
…0101001111110000
310101122011022220101
41032113311033300
510143101322011
6334250122144
744404132660
oct11627651760
93348138811
101314870256
11615234537
12308420354
1317c54354b
14c68b21a0
157a67b2c1
hex4e5f53f0

1314870256 has 80 divisors (see below), whose sum is σ = 3047376384. Its totient is φ = 537368832.

The previous prime is 1314870209. The next prime is 1314870289. The reversal of 1314870256 is 6520784131.

It is a super-2 number, since 2×13148702562 = 3457767580227011072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1202446 + ... + 1203538.

Almost surely, 21314870256 is an apocalyptic number.

1314870256 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 1314870256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523688192).

1314870256 is an abundant number, since it is smaller than the sum of its proper divisors (1732506128).

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

1314870256 is a wasteful number, since it uses less digits than its factorization.

1314870256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 1314870256 is about 36261.1397504270. The cubic root of 1314870256 is about 1095.5384731614.

The spelling of 1314870256 in words is "one billion, three hundred fourteen million, eight hundred seventy thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 467 644 934 1093 1288 1868 2186 2576 3269 3736 4372 6538 7472 7651 8744 10741 13076 15302 17488 21482 25139 26152 30604 42964 50278 52304 61208 75187 85928 100556 122416 150374 171856 175973 201112 300748 351946 402224 510431 601496 703892 1020862 1202992 1407784 2041724 2815568 3573017 4083448 7146034 8166896 11739913 14292068 23479826 28584136 46959652 57168272 82179391 93919304 164358782 187838608 328717564 657435128 1314870256