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14013120000 = 29354111327
BaseRepresentation
bin11010000110011111…
…10011111000000000
31100011121011020211110
431003033303320000
5212144324320000
610234301443320
71004154361155
oct150317637000
940147136743
1014013120000
115a4104a510
122870b70540
1314242538a9
1496d13022c
15570375850
hex3433f3e00

14013120000 has 400 divisors, whose sum is σ = 50929097472. Its totient is φ = 3394560000.

The previous prime is 14013119987. The next prime is 14013120013. The reversal of 14013120000 is 2131041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14013119987) and next prime (14013120013).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10559337 + ... + 10560663.

Almost surely, 214013120000 is an apocalyptic number.

14013120000 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 14013120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25464548736).

14013120000 is an abundant number, since it is smaller than the sum of its proper divisors (36915977472).

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

14013120000 is an equidigital number, since it uses as much as digits as its factorization.

14013120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 14013120000 its reverse (2131041), we get a palindrome (14015251041).

The spelling of 14013120000 in words is "fourteen billion, thirteen million, one hundred twenty thousand".