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14941312 = 271131033
BaseRepresentation
bin111000111111…
…110010000000
31001010002121221
4320333302000
512311110222
61252124424
7240666451
oct70776200
931102557
1014941312
1184856a1
125006714
133131a19
141dad128
1514a20c7
hexe3fc80

14941312 has 32 divisors (see below), whose sum is σ = 30058380. Its totient is φ = 7397376.

The previous prime is 14941291. The next prime is 14941313. The reversal of 14941312 is 21314941.

It is a happy number.

14941312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 10816 = 3864^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a pancake number, because a pancake can be divided into 14941312 parts by 5466 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (14941313) 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, 13948 + ... + 14980.

Almost surely, 214941312 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 14941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029190).

14941312 is an abundant number, since it is smaller than the sum of its proper divisors (15117068).

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

14941312 is a wasteful number, since it uses less digits than its factorization.

14941312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 14941312 is about 3865.3993325399. The cubic root of 14941312 is about 246.2991491476.

The spelling of 14941312 in words is "fourteen million, nine hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1033 1808 2066 3616 4132 7232 8264 14464 16528 33056 66112 116729 132224 233458 466916 933832 1867664 3735328 7470656 14941312