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314142144 = 2631636157
BaseRepresentation
bin10010101110010…
…110110111000000
3210220010002000020
4102232112313000
51120410022034
651101053440
710533110211
oct2256266700
9726102006
10314142144
11151363708
1289257280
135010cb34
142da15408
151c8a4249
hex12b96dc0

314142144 has 28 divisors (see below), whose sum is σ = 831168264. Its totient is φ = 104713984.

The previous prime is 314142139. The next prime is 314142149. The reversal of 314142144 is 441241413.

It is an interprime number because it is at equal distance from previous prime (314142139) and next prime (314142149).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314142149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 817887 + ... + 818270.

Almost surely, 2314142144 is an apocalyptic number.

It is an amenable number.

314142144 is an abundant number, since it is smaller than the sum of its proper divisors (517026120).

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

314142144 is a wasteful number, since it uses less digits than its factorization.

314142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636172 (or 1636162 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 314142144 is about 17724.0555178548. The cubic root of 314142144 is about 679.7909853571.

Adding to 314142144 its reverse (441241413), we get a palindrome (755383557).

The spelling of 314142144 in words is "three hundred fourteen million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1636157 3272314 4908471 6544628 9816942 13089256 19633884 26178512 39267768 52357024 78535536 104714048 157071072 314142144