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11413914444 = 22341767157197
BaseRepresentation
bin10101010000101001…
…01000001101001100
31002110110021221010000
422220110220031030
5141333430230234
65124331444300
7552563446332
oct125024501514
932413257100
1011413914444
114927947949
1222665b6690
1310cb8cb43a
147a3c57b52
1546c0a0899
hex2a852834c

11413914444 has 240 divisors, whose sum is σ = 32432998752. Its totient is φ = 3487131648.

The previous prime is 11413914433. The next prime is 11413914487. The reversal of 11413914444 is 44441931411.

11413914444 is a `hidden beast` number, since 114 + 13 + 91 + 4 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11413914399 and 11413914408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57938554 + ... + 57938750.

Almost surely, 211413914444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11413914444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216499376).

11413914444 is an abundant number, since it is smaller than the sum of its proper divisors (21019084308).

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

11413914444 is a wasteful number, since it uses less digits than its factorization.

11413914444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 11413914444 in words is "eleven billion, four hundred thirteen million, nine hundred fourteen thousand, four hundred forty-four".