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1314432144 = 24333042667
BaseRepresentation
bin100111001011000…
…1010010010010000
310101121100001221000
41032112022102100
510142443312034
6334232502000
744400326454
oct11626122220
93347301830
101314432144
11614a65363
1230824a900
1317c41bccc
14c67da664
157a5e1599
hex4e58a490

1314432144 has 40 divisors (see below), whose sum is σ = 3772908320. Its totient is φ = 438143904.

The previous prime is 1314432139. The next prime is 1314432151. The reversal of 1314432144 is 4412344131.

1314432144 is a `hidden beast` number, since 1 + 3 + 1 + 443 + 214 + 4 = 666.

It is a super-2 number, since 2×13144321442 = 3455463722360873472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 1520902 + ... + 1521765.

It is an arithmetic number, because the mean of its divisors is an integer number (94322708).

Almost surely, 21314432144 is an apocalyptic number.

It is an amenable number.

1314432144 is an abundant number, since it is smaller than the sum of its proper divisors (2458476176).

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

1314432144 is a wasteful number, since it uses less digits than its factorization.

1314432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042684 (or 3042672 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1314432144 is about 36255.0981794285. The cubic root of 1314432144 is about 1095.4167826074.

Adding to 1314432144 its reverse (4412344131), we get a palindrome (5726776275).

The spelling of 1314432144 in words is "one billion, three hundred fourteen million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3042667 6085334 9128001 12170668 18256002 24341336 27384003 36512004 48682672 54768006 73024008 82152009 109536012 146048016 164304018 219072024 328608036 438144048 657216072 1314432144