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14056392000 = 263537312699
BaseRepresentation
bin11010001011101001…
…11000010101000000
31100021121120200212010
431011310320111000
5212241414021000
610242445132520
71005221234460
oct150564702500
940247520763
1014056392000
115a635153a2
12288355a140
1314301c4821
14974b95ba0
15574071d50
hex345d38540

14056392000 has 448 divisors, whose sum is σ = 54776217600. Its totient is φ = 3108096000.

The previous prime is 14056391977. The next prime is 14056392059. The reversal of 14056392000 is 29365041.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5206651 + ... + 5209349.

Almost surely, 214056392000 is an apocalyptic number.

14056392000 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 14056392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27388108800).

14056392000 is an abundant number, since it is smaller than the sum of its proper divisors (40719825600).

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

14056392000 is a wasteful number, since it uses less digits than its factorization.

14056392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 14056392000 in words is "fourteen billion, fifty-six million, three hundred ninety-two thousand".