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14116032288 = 253270012
BaseRepresentation
bin11010010010110000…
…11000111100100000
31100102202210201221200
431021120120330200
5212402201013123
610252415321200
71006544203041
oct151130307440
940382721850
1014116032288
115a9414aa96
12289b520200
13143c676b37
1497ca7c8c8
15579403143
hex349618f20

14116032288 has 54 divisors (see below), whose sum is σ = 40148201457. Its totient is φ = 4704672000.

The previous prime is 14116032251. The next prime is 14116032299. The reversal of 14116032288 is 88223061141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14116032288 is a `hidden beast` number, since 1 + 41 + 1 + 603 + 2 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14030876304 + 85155984 = 118452^2 + 9228^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=84012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2012788 + ... + 2019788.

Almost surely, 214116032288 is an apocalyptic number.

14116032288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14116032288 is an abundant number, since it is smaller than the sum of its proper divisors (26032169169).

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

14116032288 is an frugal number, since it uses more digits than its factorization.

14116032288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14018 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 14116032288 by its product of nonzero digits (18432), we get a square (260186707132416 = 161303042).

The spelling of 14116032288 in words is "fourteen billion, one hundred sixteen million, thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7001 14002 21003 28004 42006 56008 63009 84012 112016 126018 168024 224032 252036 336048 504072 672096 1008144 2016288 49014001 98028002 147042003 196056004 294084006 392112008 441126009 588168012 784224016 882252018 1176336024 1568448032 1764504036 2352672048 3529008072 4705344096 7058016144 14116032288