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40325249640 = 233513197318637
BaseRepresentation
bin100101100011100100…
…100111101001101000
310212002100001221010110
4211203210213221220
51130041230442030
630305234014320
72625203652324
oct454344475150
9125070057113
1040325249640
11161136089a5
127994a173a0
133a58581080
141d47874984
1510b03321b0
hex963927a68

40325249640 has 256 divisors, whose sum is σ = 139024569600. Its totient is φ = 9274466304.

The previous prime is 40325249611. The next prime is 40325249641. The reversal of 40325249640 is 4694252304.

It is a super-2 number, since 2×403252496402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40325249641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2154402 + ... + 2173038.

It is an arithmetic number, because the mean of its divisors is an integer number (543064725).

Almost surely, 240325249640 is an apocalyptic number.

40325249640 is a gapful number since it is divisible by the number (40) 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 40325249640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69512284800).

40325249640 is an abundant number, since it is smaller than the sum of its proper divisors (98699319960).

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

40325249640 is a wasteful number, since it uses less digits than its factorization.

40325249640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18756 (or 18752 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 40325249640 in words is "forty billion, three hundred twenty-five million, two hundred forty-nine thousand, six hundred forty".