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14001698880 = 2631151319
BaseRepresentation
bin11010000101001000…
…01111100001000000
31100010210200000000000
431002210033201000
5212133413331010
610233213000000
71003655322351
oct150244174100
940123600000
1014001698880
115a35659674
122869183000
131421a85230
1496b7d9d28
1556e36b7c0
hex34290f840

14001698880 has 672 divisors, whose sum is σ = 56694019200. Its totient is φ = 3265173504.

The previous prime is 14001698863. The next prime is 14001698897. The reversal of 14001698880 is 8889610041.

14001698880 is a `hidden beast` number, since 1 + 400 + 169 + 8 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (14001698863) and next prime (14001698897).

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 95 ways as a sum of consecutive naturals, for example, 736931511 + ... + 736931529.

It is an arithmetic number, because the mean of its divisors is an integer number (84366100).

Almost surely, 214001698880 is an apocalyptic number.

14001698880 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 14001698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28347009600).

14001698880 is an abundant number, since it is smaller than the sum of its proper divisors (42692320320).

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

14001698880 is an frugal number, since it uses more digits than its factorization.

14001698880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 14001698880 in words is "fourteen billion, one million, six hundred ninety-eight thousand, eight hundred eighty".