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14744157480 = 233251373103419
BaseRepresentation
bin11011011101101000…
…11111110100101000
31102001112201210201200
431232310133310220
5220144001014410
610435014244200
71031242161603
oct155664376450
942045653650
1014744157480
116286768818
122a35956660
13150c83c250
149dc26733a
155b46293c0
hex36ed1fd28

14744157480 has 384 divisors, whose sum is σ = 52945401600. Its totient is φ = 3536400384.

The previous prime is 14744157451. The next prime is 14744157481. The reversal of 14744157480 is 8475144741.

14744157480 is a `hidden beast` number, since 1 + 4 + 74 + 4 + 1 + 574 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14744157481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35188711 + ... + 35189129.

It is an arithmetic number, because the mean of its divisors is an integer number (137878650).

Almost surely, 214744157480 is an apocalyptic number.

14744157480 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 14744157480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26472700800).

14744157480 is an abundant number, since it is smaller than the sum of its proper divisors (38201244120).

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

14744157480 is a wasteful number, since it uses less digits than its factorization.

14744157480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

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

The spelling of 14744157480 in words is "fourteen billion, seven hundred forty-four million, one hundred fifty-seven thousand, four hundred eighty".