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14142520000 = 2654753953
BaseRepresentation
bin11010010101111010…
…11011101011000000
31100111121122110021001
431022331123223000
5212430441120000
610255203141344
71010315302510
oct151275335300
940447573231
1014142520000
115aa80a1664
1228a8374854
131444cbc23b
149823b5840
1557b8d646a
hex34af5bac0

14142520000 has 280 divisors, whose sum is σ = 40877739936. Its totient is φ = 4752384000.

The previous prime is 14142519977. The next prime is 14142520037. The reversal of 14142520000 is 2524141.

It is a tau number, because it is divible by the number of its divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 14142520000.

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, 14839524 + ... + 14840476.

Almost surely, 214142520000 is an apocalyptic number.

14142520000 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 14142520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20438869968).

14142520000 is an abundant number, since it is smaller than the sum of its proper divisors (26735219936).

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

14142520000 is an frugal number, since it uses more digits than its factorization.

14142520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 14142520000 in words is "fourteen billion, one hundred forty-two million, five hundred twenty thousand".