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40232444000 = 255374213413
BaseRepresentation
bin100101011110000010…
…100110000001100000
310211211212102220201112
4211132002212001200
51124344001202000
630252120522452
72622666063050
oct453602460140
9124755386645
1040232444000
1116076190721
127969920428
133a422890a8
141d393d7560
1510a70ee235
hex95e0a6060

40232444000 has 192 divisors, whose sum is σ = 113274225792. Its totient is φ = 13757184000.

The previous prime is 40232443991. The next prime is 40232444023. The reversal of 40232444000 is 44423204.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11786294 + ... + 11789706.

It is an arithmetic number, because the mean of its divisors is an integer number (589969926).

Almost surely, 240232444000 is an apocalyptic number.

40232444000 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 40232444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56637112896).

40232444000 is an abundant number, since it is smaller than the sum of its proper divisors (73041781792).

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

40232444000 is a wasteful number, since it uses less digits than its factorization.

40232444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 40232444000 its reverse (44423204), we get a palindrome (40276867204).

The spelling of 40232444000 in words is "forty billion, two hundred thirty-two million, four hundred forty-four thousand".