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14042531520 = 263353494657
BaseRepresentation
bin11010001010000000…
…00000011011000000
31100020122111111212000
431011000000123000
5212224342002040
610241232104000
71004662356063
oct150500003300
940218444760
1014042531520
115a56708856
12287a995000
13142a380a64
14972dc88da
15572c35130
hex3450006c0

14042531520 has 224 divisors, whose sum is σ = 49691544000. Its totient is φ = 3733143552.

The previous prime is 14042531519. The next prime is 14042531537. The reversal of 14042531520 is 2513524041.

14042531520 is a `hidden beast` number, since 1 + 40 + 42 + 531 + 52 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013032 + ... + 3017688.

It is an arithmetic number, because the mean of its divisors is an integer number (221837250).

Almost surely, 214042531520 is an apocalyptic number.

14042531520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24845772000).

14042531520 is an abundant number, since it is smaller than the sum of its proper divisors (35649012480).

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

14042531520 is a wasteful number, since it uses less digits than its factorization.

14042531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14042531520 in words is "fourteen billion, forty-two million, five hundred thirty-one thousand, five hundred twenty".