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14285998080 = 211335163317
BaseRepresentation
bin11010100111000001…
…10000100000000000
31100212121121220012000
431103200300200000
5213224203414310
610321330304000
71014006660114
oct152340604000
940777556160
1014285998080
116071089892
122928428000
131468946703
14997483744
155892c84c0
hex353830800

14285998080 has 384 divisors, whose sum is σ = 51254985600. Its totient is φ = 3774283776.

The previous prime is 14285998079. The next prime is 14285998081. The reversal of 14285998080 is 8089958241.

14285998080 is a `hidden beast` number, since 1 + 42 + 8 + 599 + 8 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14285998079) and next prime (14285998081).

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

It is a super-2 number, since 2×142859980802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14285998081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45066082 + ... + 45066398.

It is an arithmetic number, because the mean of its divisors is an integer number (133476525).

Almost surely, 214285998080 is an apocalyptic number.

14285998080 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 14285998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25627492800).

14285998080 is an abundant number, since it is smaller than the sum of its proper divisors (36968987520).

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

14285998080 is a wasteful number, since it uses less digits than its factorization.

14285998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 14285998080 in words is "fourteen billion, two hundred eighty-five million, nine hundred ninety-eight thousand, eighty".