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40423993344 = 212327323139
BaseRepresentation
bin100101101001011101…
…010011000000000000
310212100012212122000200
4211221131103000000
51130242020241334
630323122245200
72630513163000
oct455135230000
9125305778020
1040423993344
1116164321569
127a01ab6800
133a72b74ab7
141d56a1a000
1510b8d39799
hex969753000

40423993344 has 624 divisors, whose sum is σ = 143113152000. Its totient is φ = 10968072192.

The previous prime is 40423993339. The next prime is 40423993433. The reversal of 40423993344 is 44339932404.

40423993344 is a `hidden beast` number, since 404 + 239 + 9 + 3 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40423993344.

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 47 ways as a sum of consecutive naturals, for example, 290820027 + ... + 290820165.

It is an arithmetic number, because the mean of its divisors is an integer number (229348000).

Almost surely, 240423993344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40423993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71556576000).

40423993344 is an abundant number, since it is smaller than the sum of its proper divisors (102689158656).

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

40423993344 is a wasteful number, since it uses less digits than its factorization.

40423993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 40423993344 in words is "forty billion, four hundred twenty-three million, nine hundred ninety-three thousand, three hundred forty-four".