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14807240448 = 28371121317103
BaseRepresentation
bin11011100101001010…
…01000111100000000
31102012221102202021220
431302211020330000
5220311123143243
610445150315040
71032636316140
oct156245107400
942187382256
1014807240448
116309334a00
122a52ab8a80
13151c928550
14a067a8920
155b9e3a783
hex372948f00

14807240448 has 864 divisors, whose sum is σ = 56997577728. Its totient is φ = 3308912640.

The previous prime is 14807240423. The next prime is 14807240477. The reversal of 14807240448 is 84404270841.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 143759565 + ... + 143759667.

Almost surely, 214807240448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14807240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498788864).

14807240448 is an abundant number, since it is smaller than the sum of its proper divisors (42190337280).

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

14807240448 is a wasteful number, since it uses less digits than its factorization.

14807240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

It can be divided in two parts, 14807 and 240448, that added together give a triangular number (255255 = T714).

The spelling of 14807240448 in words is "fourteen billion, eight hundred seven million, two hundred forty thousand, four hundred forty-eight".