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14092974720 = 2732511347641
BaseRepresentation
bin11010010000000000…
…11011101010000000
31100101011102021220200
431020000123222000
5212330300142340
610250233205200
71006144210566
oct151000335200
940334367820
1014092974720
115a82131550
122893860800
131437962ac6
14979999a36
1557739b330
hex34801ba80

14092974720 has 384 divisors, whose sum is σ = 53324930880. Its totient is φ = 3401318400.

The previous prime is 14092974689. The next prime is 14092974739. The reversal of 14092974720 is 2747929041.

It is a happy number.

14092974720 is a `hidden beast` number, since 1 + 4 + 0 + 92 + 97 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×140929747202 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21985600 + ... + 21986240.

Almost surely, 214092974720 is an apocalyptic number.

14092974720 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 14092974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26662465440).

14092974720 is an abundant number, since it is smaller than the sum of its proper divisors (39231956160).

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

14092974720 is a wasteful number, since it uses less digits than its factorization.

14092974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 14092974720 in words is "fourteen billion, ninety-two million, nine hundred seventy-four thousand, seven hundred twenty".