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40044444444 = 22331837120183
BaseRepresentation
bin100101010010110101…
…011011101100011100
310211100202200112211000
4211102311123230130
51124002334210234
630221323230300
72615224106304
oct452265335434
9124322615730
1040044444444
1115a8a054894
127916978390
133a12344054
141d1c45a604
151095865899
hex952d5bb1c

40044444444 has 48 divisors (see below), whose sum is σ = 103829725440. Its totient is φ = 13346760240.

The previous prime is 40044444437. The next prime is 40044444523. The reversal of 40044444444 is 44444444004.

It is a super-3 number, since 3×400444444443 (a number of 33 digits) contains 333 as substring.

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

40044444444 is a modest number, since divided by 444444 gives 40044 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 40044444399 and 40044444408.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1973977 + ... + 1994159.

It is an arithmetic number, because the mean of its divisors is an integer number (2163119280).

Almost surely, 240044444444 is an apocalyptic number.

It is an amenable number.

40044444444 is an abundant number, since it is smaller than the sum of its proper divisors (63785280996).

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

40044444444 is a wasteful number, since it uses less digits than its factorization.

40044444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38567 (or 38559 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 40044444444 its reverse (44444444004), we get a palindrome (84488888448).

The spelling of 40044444444 in words is "forty billion, forty-four million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 18371 20183 36742 40366 55113 60549 73484 80732 110226 121098 165339 181647 220452 242196 330678 363294 496017 544941 661356 726588 992034 1089882 1984068 2179764 370781893 741563786 1112345679 1483127572 2224691358 3337037037 4449382716 6674074074 10011111111 13348148148 20022222222 40044444444