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9401113872 = 2432214130493
BaseRepresentation
bin10001100000101100…
…11001110100010000
3220021011212001210200
420300112121310100
5123223141120442
64152510255200
7451653102153
oct106026316420
926234761720
109401113872
113a94757aa7
1219a44b7500
13b6a8c1897
146527c9c9a
153a051034c
hex230599d10

9401113872 has 60 divisors (see below), whose sum is σ = 26323213644. Its totient is φ = 3132138240.

The previous prime is 9401113837. The next prime is 9401113921. The reversal of 9401113872 is 2783111049.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4865899536 + 4535214336 = 69756^2 + 67344^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 293058 + ... + 323550.

Almost surely, 29401113872 is an apocalyptic number.

It is an amenable number.

9401113872 is an abundant number, since it is smaller than the sum of its proper divisors (16922099772).

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

9401113872 is a wasteful number, since it uses less digits than its factorization.

9401113872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32648 (or 32639 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 9401113872 is about 96959.3413343965. The cubic root of 9401113872 is about 2110.5376520468.

The spelling of 9401113872 in words is "nine billion, four hundred one million, one hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2141 4282 6423 8564 12846 17128 19269 25692 30493 34256 38538 51384 60986 77076 91479 102768 121972 154152 182958 243944 274437 308304 365916 487888 548874 731832 1097748 1463664 2195496 4390992 65285513 130571026 195856539 261142052 391713078 522284104 587569617 783426156 1044568208 1175139234 1566852312 2350278468 3133704624 4700556936 9401113872