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40044303936 = 26337132191031
BaseRepresentation
bin100101010010110100…
…111001011001000000
310211100202102102002000
4211102310321121000
51124002320211221
630221320224000
72615222652540
oct452264713100
9124322372060
1040044303936
1115a89a6926a
12791690b000
133a122c5100
141d1c421320
151095838e26
hex952d39640

40044303936 has 672 divisors, whose sum is σ = 153502156800. Its totient is φ = 9995581440.

The previous prime is 40044303931. The next prime is 40044303953. The reversal of 40044303936 is 63930344004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40044303936.

It is not an unprimeable number, because it can be changed into a prime (40044303931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38839741 + ... + 38840771.

Almost surely, 240044303936 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 40044303936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76751078400).

40044303936 is an abundant number, since it is smaller than the sum of its proper divisors (113457852864).

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

40044303936 is a wasteful number, since it uses less digits than its factorization.

40044303936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 40044303936 in words is "forty billion, forty-four million, three hundred three thousand, nine hundred thirty-six".