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1314440424 = 2332112312157
BaseRepresentation
bin100111001011000…
…1100010011101000
310101121100111021200
41032112030103220
510142444043144
6334233004200
744400362553
oct11626142350
93347314250
101314440424
11614a70600
12308253660
1317c4229cb
14c67dd69a
157a5e3c69
hex4e58c4e8

1314440424 has 216 divisors, whose sum is σ = 4069045890. Its totient is φ = 383011200.

The previous prime is 1314440419. The next prime is 1314440431. The reversal of 1314440424 is 4240444131.

It can be written as a sum of positive squares in only one way, i.e., 1209787524 + 104652900 = 34782^2 + 10230^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8372154 + ... + 8372310.

Almost surely, 21314440424 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 1314440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034522945).

1314440424 is an abundant number, since it is smaller than the sum of its proper divisors (2754605466).

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

1314440424 is a wasteful number, since it uses less digits than its factorization.

1314440424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 204 counting only the distinct ones).

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

The square root of 1314440424 is about 36255.2123700855. The cubic root of 1314440424 is about 1095.4190827216.

Adding to 1314440424 its reverse (4240444131), we get a palindrome (5554884555).

The spelling of 1314440424 in words is "one billion, three hundred fourteen million, four hundred forty thousand, four hundred twenty-four".