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14134900608 = 2732231134721
BaseRepresentation
bin11010010101000000…
…10111011110000000
31100111002022100102100
431022200113132000
5212422013304413
610254331550400
71010163446523
oct151240273600
940432270370
1014134900608
115aa3868044
1228a58bb400
13144355211a
14981390bba
1557adcda73
hex34a817780

14134900608 has 192 divisors, whose sum is σ = 42827784480. Its totient is φ = 4465950720.

The previous prime is 14134900589. The next prime is 14134900657. The reversal of 14134900608 is 80600943141.

14134900608 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 49 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2991688 + ... + 2996408.

Almost surely, 214134900608 is an apocalyptic number.

14134900608 is a gapful number since it is divisible by the number (18) 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 14134900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21413892240).

14134900608 is an abundant number, since it is smaller than the sum of its proper divisors (28692883872).

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

14134900608 is a wasteful number, since it uses less digits than its factorization.

14134900608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14134900608 in words is "fourteen billion, one hundred thirty-four million, nine hundred thousand, six hundred eight".