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14800604040 = 23335193153439
BaseRepresentation
bin11011100100010111…
…10100101110001000
31102012110221120212000
431302023310232020
5220302423312130
610444352151000
71032526026045
oct156213645610
942173846760
1014800604040
116305611972
122a50838460
13151b443991
14a0595c1cc
155b9579260
hex3722f4b88

14800604040 has 512 divisors, whose sum is σ = 54743040000. Its totient is φ = 3542123520.

The previous prime is 14800604023. The next prime is 14800604041. The reversal of 14800604040 is 4040600841.

14800604040 is a `hidden beast` number, since 14 + 8 + 0 + 0 + 604 + 0 + 40 = 666.

14800604040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 14800603995 and 14800604013.

It is not an unprimeable number, because it can be changed into a prime (14800604041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33714141 + ... + 33714579.

It is an arithmetic number, because the mean of its divisors is an integer number (106920000).

Almost surely, 214800604040 is an apocalyptic number.

14800604040 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 14800604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27371520000).

14800604040 is an abundant number, since it is smaller than the sum of its proper divisors (39942435960).

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

14800604040 is a wasteful number, since it uses less digits than its factorization.

14800604040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14800604040 in words is "fourteen billion, eight hundred million, six hundred four thousand, forty".