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13910409936 = 2434172397283
BaseRepresentation
bin11001111010010000…
…00000001011010000
31022220102220001010000
430331020000023100
5211442031104221
610220152210000
71001466351003
oct147510001320
938812801100
1013910409936
115999077965
122842699900
131408ba16c7
1495d63553a
15566337e26
hex33d2002d0

13910409936 has 400 divisors, whose sum is σ = 45099863424. Its totient is φ = 4116676608.

The previous prime is 13910409901. The next prime is 13910409967. The reversal of 13910409936 is 63990401931.

It is a junction number, because it is equal to n+sod(n) for n = 13910409891 and 13910409900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49153251 + ... + 49153533.

Almost surely, 213910409936 is an apocalyptic number.

13910409936 is a gapful number since it is divisible by the number (16) 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 13910409936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22549931712).

13910409936 is an abundant number, since it is smaller than the sum of its proper divisors (31189453488).

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

13910409936 is a wasteful number, since it uses less digits than its factorization.

13910409936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 13910409936 in words is "thirteen billion, nine hundred ten million, four hundred nine thousand, nine hundred thirty-six".