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40783372344 = 23351121313337
BaseRepresentation
bin100101111110111000…
…001110000000111000
310220021021002222100000
4211332320032000320
51132011020403334
630422521113000
72642435642121
oct457670160070
9126237088300
1040783372344
1116329172300
127aa2328760
133acc462cb0
141d8c649048
1510da677299
hex97ee0e038

40783372344 has 288 divisors, whose sum is σ = 135601043760. Its totient is φ = 11407080960.

The previous prime is 40783372303. The next prime is 40783372349. The reversal of 40783372344 is 44327338704.

40783372344 is a `hidden beast` number, since 407 + 8 + 3 + 3 + 7 + 234 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40783372344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40783372349) 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 71 ways as a sum of consecutive naturals, for example, 3051244 + ... + 3064580.

Almost surely, 240783372344 is an apocalyptic number.

40783372344 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 40783372344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67800521880).

40783372344 is an abundant number, since it is smaller than the sum of its proper divisors (94817671416).

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

40783372344 is a wasteful number, since it uses less digits than its factorization.

40783372344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13393 (or 13366 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 40783372344 in words is "forty billion, seven hundred eighty-three million, three hundred seventy-two thousand, three hundred forty-four".