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115414144 = 271316883
BaseRepresentation
bin1101110000100…
…01010010000000
322001011122102221
412320101102000
5214021223034
615241420424
72601001246
oct670212200
9261148387
10115414144
115a16a39a
123279a714
131abac7c1
1411484796
15a1ebbb4
hex6e11480

115414144 has 32 divisors (see below), whose sum is σ = 231715440. Its totient is φ = 57258240.

The previous prime is 115414111. The next prime is 115414153. The reversal of 115414144 is 441414511.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13327 + ... + 20209.

Almost surely, 2115414144 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 115414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115857720).

115414144 is an abundant number, since it is smaller than the sum of its proper divisors (116301296).

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

115414144 is an equidigital number, since it uses as much as digits as its factorization.

115414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7016 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

The square root of 115414144 is about 10743.0975049098. The cubic root of 115414144 is about 486.8774700277.

Adding to 115414144 its reverse (441414511), we get a palindrome (556828655).

The spelling of 115414144 in words is "one hundred fifteen million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 6883 8384 13766 16768 27532 55064 110128 220256 440512 881024 901673 1803346 3606692 7213384 14426768 28853536 57707072 115414144