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13354880000 = 21054711271
BaseRepresentation
bin11000111000000001…
…10100110000000000
31021110201120012022012
430130000310300000
5204322322130000
610045105232052
7651642415130
oct143400646000
937421505265
1013354880000
115733533010
122708632628
13134aa76177
14909946ac0
155326a1735
hex31c034c00

13354880000 has 440 divisors, whose sum is σ = 41745437184. Its totient is φ = 4147200000.

The previous prime is 13354879997. The next prime is 13354880039. The reversal of 13354880000 is 8845331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 49279865 + ... + 49280135.

Almost surely, 213354880000 is an apocalyptic number.

13354880000 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 13354880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20872718592).

13354880000 is an abundant number, since it is smaller than the sum of its proper divisors (28390557184).

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

13354880000 is an equidigital number, since it uses as much as digits as its factorization.

13354880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 13354880000 in words is "thirteen billion, three hundred fifty-four million, eight hundred eighty thousand".