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13702093440 = 273572145643
BaseRepresentation
bin11001100001011010…
…10101101010000000
31022100220220110121020
430300231111222000
5211030213442230
610143351225440
7663356605200
oct146055255200
938326813536
1013702093440
1158a1524672
1227a4978280
1313a4994bc9
1493daca400
15552dd9810
hex330b55a80

13702093440 has 192 divisors, whose sum is σ = 50806452960. Its totient is φ = 3131885568.

The previous prime is 13702093367. The next prime is 13702093451. The reversal of 13702093440 is 4439020731.

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

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, 21259 + ... + 166901.

Almost surely, 213702093440 is an apocalyptic number.

13702093440 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 13702093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25403226480).

13702093440 is an abundant number, since it is smaller than the sum of its proper divisors (37104359520).

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

13702093440 is a wasteful number, since it uses less digits than its factorization.

13702093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145679 (or 145660 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13702093440 in words is "thirteen billion, seven hundred two million, ninety-three thousand, four hundred forty".