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9031357440 = 21035571761
BaseRepresentation
bin10000110100100111…
…11001010000000000
3212022102002111100000
420122103321100000
5121444011414230
64052101200000
7436543162110
oct103223712000
925272074300
109031357440
113914a69576
121900700000
13b0c10c0b1
14619659040
1537cd22b60
hex21a4f9400

9031357440 has 1056 divisors, whose sum is σ = 39913945344. Its totient is φ = 1911029760.

The previous prime is 9031357411. The next prime is 9031357453. The reversal of 9031357440 is 447531309.

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

It is a junction number, because it is equal to n+sod(n) for n = 9031357395 and 9031357404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148055010 + ... + 148055070.

Almost surely, 29031357440 is an apocalyptic number.

9031357440 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 9031357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956972672).

9031357440 is an abundant number, since it is smaller than the sum of its proper divisors (30882587904).

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

9031357440 is a wasteful number, since it uses less digits than its factorization.

9031357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 9031357440 is about 95033.4543200446. The cubic root of 9031357440 is about 2082.4968044312.

Adding to 9031357440 its reverse (447531309), we get a palindrome (9478888749).

It can be divided in two parts, 903135 and 7440, that added together give a triangular number (910575 = T1349).

The spelling of 9031357440 in words is "nine billion, thirty-one million, three hundred fifty-seven thousand, four hundred forty".