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1314214464 = 26319135837
BaseRepresentation
bin100111001010101…
…0101001001000000
310101120221000022210
41032111111021000
510142414330324
6334224102120
744365432023
oct11625251100
93346830283
101314214464
11614926862
12308164940
1317c373bc4
14c67811ba
157a59bd29
hex4e555240

1314214464 has 56 divisors (see below), whose sum is σ = 3495495168. Its totient is φ = 435765760.

The previous prime is 1314214463. The next prime is 1314214483. The reversal of 1314214464 is 4644124131.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1314214463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18754 + ... + 54590.

Almost surely, 21314214464 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 1314214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747747584).

1314214464 is an abundant number, since it is smaller than the sum of its proper divisors (2181280704).

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

1314214464 is a wasteful number, since it uses less digits than its factorization.

1314214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36043 (or 36033 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 1314214464 is about 36252.0959945766. The cubic root of 1314214464 is about 1095.3563094745.

Adding to 1314214464 its reverse (4644124131), we get a palindrome (5958338595).

The spelling of 1314214464 in words is "one billion, three hundred fourteen million, two hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 573 764 1146 1528 2292 3056 4584 6112 9168 12224 18336 35837 36672 71674 107511 143348 215022 286696 430044 573392 860088 1146784 1720176 2293568 3440352 6844867 6880704 13689734 20534601 27379468 41069202 54758936 82138404 109517872 164276808 219035744 328553616 438071488 657107232 1314214464