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13963109940 = 22335135573571
BaseRepresentation
bin11010000000100010…
…00010011000110100
31100001010001110221000
431000101002120310
5212044024004230
610225313523300
71003006322223
oct150021023064
940033043830
1013963109940
115a158a218a
122858273530
131416a93a40
14966632cba
1556ac97b60
hex340442634

13963109940 has 192 divisors, whose sum is σ = 46879499520. Its totient is φ = 3429941760.

The previous prime is 13963109929. The next prime is 13963109959. The reversal of 13963109940 is 4990136931.

13963109940 is a `hidden beast` number, since 1 + 3 + 9 + 631 + 0 + 9 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3908355 + ... + 3911925.

It is an arithmetic number, because the mean of its divisors is an integer number (244164060).

Almost surely, 213963109940 is an apocalyptic number.

13963109940 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 13963109940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23439749760).

13963109940 is an abundant number, since it is smaller than the sum of its proper divisors (32916389580).

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

13963109940 is a wasteful number, since it uses less digits than its factorization.

13963109940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4151 counting only the distinct ones).

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

The spelling of 13963109940 in words is "thirteen billion, nine hundred sixty-three million, one hundred nine thousand, nine hundred forty".