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14942922480 = 24325178211487
BaseRepresentation
bin11011110101010101…
…01110011011110000
31102120101202010001100
431322222232123300
5221100342004410
610510434404400
71036204513443
oct157252563360
942511663040
1014942922480
116378987912
122a90430700
131541a83385
14a1a80765a
155c6cdc8c0
hex37aaae6f0

14942922480 has 240 divisors, whose sum is σ = 53235771264. Its totient is φ = 3743293440.

The previous prime is 14942922469. The next prime is 14942922493. The reversal of 14942922480 is 8422924941.

14942922480 is a `hidden beast` number, since 1 + 49 + 42 + 92 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 10048297 + ... + 10049783.

Almost surely, 214942922480 is an apocalyptic number.

14942922480 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 14942922480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26617885632).

14942922480 is an abundant number, since it is smaller than the sum of its proper divisors (38292848784).

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

14942922480 is a wasteful number, since it uses less digits than its factorization.

14942922480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14942922480 in words is "fourteen billion, nine hundred forty-two million, nine hundred twenty-two thousand, four hundred eighty".