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40444224200 = 2352202221121
BaseRepresentation
bin100101101010101010…
…011110001011001000
310212101121221110112122
4211222222132023020
51130312210133300
630325124030412
72631150143042
oct455252361310
9125347843478
1040444224200
111617478a286
127a08832408
133a77109313
141d595a4a92
1510ba9d3c85
hex96aa9e2c8

40444224200 has 24 divisors (see below), whose sum is σ = 94032821730. Its totient is φ = 16177689600.

The previous prime is 40444224193. The next prime is 40444224203. The reversal of 40444224200 is 242244404.

It can be written as a sum of positive squares in 3 ways, for example, as 38485807684 + 1958416516 = 196178^2 + 44254^2 .

It is a super-2 number, since 2×404442242002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40444224200.

It is not an unprimeable number, because it can be changed into a prime (40444224203) 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 5 ways as a sum of consecutive naturals, for example, 101110361 + ... + 101110760.

Almost surely, 240444224200 is an apocalyptic number.

40444224200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444224200 is an abundant number, since it is smaller than the sum of its proper divisors (53588597530).

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

40444224200 is a wasteful number, since it uses less digits than its factorization.

40444224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202221137 (or 202221128 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 40444224200 its reverse (242244404), we get a palindrome (40686468604).

The spelling of 40444224200 in words is "forty billion, four hundred forty-four million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 202221121 404442242 808884484 1011105605 1617768968 2022211210 4044422420 5055528025 8088844840 10111056050 20222112100 40444224200