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40232344323204 = 22321110136712792143
BaseRepresentation
bin10010010010111010100101…
…00101111000010010000100
312021110011201020202120001100
421021131102211320102010
520233131320121320304
6221322252301300100
711321455666153065
oct1111352245702204
9167404636676040
1040232344323204
1111901494573aa0
12461936a864630
13195ab80872407
149d13820d056c
1549b8079e4439
hex249752978484

40232344323204 has 288 divisors, whose sum is σ = 112487788707840. Its totient is φ = 12022994592000.

The previous prime is 40232344323191. The next prime is 40232344323209.

40232344323204 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 2 + 3 + 443 + 2 + 3 + 204 = 666.

40232344323204 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (40232344323209) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18773841357 + ... + 18773843499.

It is an arithmetic number, because the mean of its divisors is an integer number (390582599680).

Almost surely, 240232344323204 is an apocalyptic number.

40232344323204 is a gapful number since it is divisible by the number (44) 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 40232344323204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56243894353920).

40232344323204 is an abundant number, since it is smaller than the sum of its proper divisors (72255444384636).

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

40232344323204 is a wasteful number, since it uses less digits than its factorization.

40232344323204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 4023234 and 4323204, that added together give a palindrome (8346438).

The spelling of 40232344323204 in words is "forty trillion, two hundred thirty-two billion, three hundred forty-four million, three hundred twenty-three thousand, two hundred four".