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9431018234640 = 2432537541765353
BaseRepresentation
bin1000100100111101010001…
…1111011110001100010000
31020101121002212122210001100
42021033110133132030100
52214004211132002030
632020314443104400
71662240265213242
oct211172437361420
936347085583040
109431018234640
113006743a22292
121083964b12100
13535458816012
1424866c62a092
151154c82d3360
hex893d47de310

9431018234640 has 240 divisors, whose sum is σ = 32535019219248. Its totient is φ = 2446477737984.

The previous prime is 9431018234639. The next prime is 9431018234699. The reversal of 9431018234640 is 464328101349.

9431018234640 is a `hidden beast` number, since 9 + 4 + 3 + 1 + 0 + 182 + 3 + 464 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 163888948224 + 9267129286416 = 404832^2 + 3044196^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×94310182346402 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144276204 + ... + 144341556.

Almost surely, 29431018234640 is an apocalyptic number.

9431018234640 is a gapful number since it is divisible by the number (90) 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 9431018234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16267509609624).

9431018234640 is an abundant number, since it is smaller than the sum of its proper divisors (23104000984608).

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

9431018234640 is a wasteful number, since it uses less digits than its factorization.

9431018234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70826 (or 70817 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 9431018234640 in words is "nine trillion, four hundred thirty-one billion, eighteen million, two hundred thirty-four thousand, six hundred forty".