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14744145780 = 223257132931039
BaseRepresentation
bin11011011101101000…
…11100111101110100
31102001112201012200100
431232310130331310
5220144000131110
610435014114100
71031242112520
oct155664347564
942045635610
1014744145780
11628675aa51
122a3594b930
13150c836b20
149dc262d80
155b4625bc0
hex36ed1cf74

14744145780 has 288 divisors, whose sum is σ = 56944742400. Its totient is φ = 3003485184.

The previous prime is 14744145733. The next prime is 14744145797. The reversal of 14744145780 is 8754144741.

14744145780 is a `hidden beast` number, since 1 + 4 + 74 + 4 + 1 + 4 + 578 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 459501 + ... + 490539.

It is an arithmetic number, because the mean of its divisors is an integer number (197724800).

Almost surely, 214744145780 is an apocalyptic number.

14744145780 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 14744145780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28472371200).

14744145780 is an abundant number, since it is smaller than the sum of its proper divisors (42200596620).

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

14744145780 is a wasteful number, since it uses less digits than its factorization.

14744145780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31103 (or 31098 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 14744145780 in words is "fourteen billion, seven hundred forty-four million, one hundred forty-five thousand, seven hundred eighty".