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235290491040 = 253511173184559
BaseRepresentation
bin1101101100100001100…
…1111111100010100000
3211111022210120101020010
43123020121333202200
512323333331203130
6300031351444520
722666501113663
oct3331031774240
9744283511203
10235290491040
1190871391480
1239726386740
1319259791737
14b5610076da
1561c17860b0
hex36c867f8a0

235290491040 has 384 divisors, whose sum is σ = 883731824640. Its totient is φ = 51952435200.

The previous prime is 235290491039. The next prime is 235290491081. The reversal of 235290491040 is 40194092532.

235290491040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 235290491040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2740281 + ... + 2824839.

It is an arithmetic number, because the mean of its divisors is an integer number (2301384960).

Almost surely, 2235290491040 is an apocalyptic number.

235290491040 is a gapful number since it is divisible by the number (20) 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 235290491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441865912320).

235290491040 is an abundant number, since it is smaller than the sum of its proper divisors (648441333600).

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

235290491040 is a wasteful number, since it uses less digits than its factorization.

235290491040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84636 (or 84628 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 235290491040 in words is "two hundred thirty-five billion, two hundred ninety million, four hundred ninety-one thousand, forty".