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444044444440 = 23521152611901
BaseRepresentation
bin1100111011000110001…
…11001000001100011000
31120110011012221222020211
412131203013020030120
524233400334210230
6535554033300504
744036556334012
oct6354307101430
91513135858224
10444044444440
11161355570403
1272085704734
1332b475a3a9c
14176c59731b2
15b83d4d442a
hex67631c8318

444044444440 has 32 divisors (see below), whose sum is σ = 1003835090160. Its totient is φ = 176775984000.

The previous prime is 444044444353. The next prime is 444044444471. The reversal of 444044444440 is 44444440444.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 444044444393 and 444044444402.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26297511 + ... + 26314390.

Almost surely, 2444044444440 is an apocalyptic number.

444044444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444044444440 is an abundant number, since it is smaller than the sum of its proper divisors (559790645720).

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

444044444440 is a wasteful number, since it uses less digits than its factorization.

444044444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52612123 (or 52612119 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 444044444440 its reverse (44444440444), we get a palindrome (488488884884).

It can be divided in two parts, 44404 and 4444440, that added together give a palindrome (4488844).

The spelling of 444044444440 in words is "four hundred forty-four billion, forty-four million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 2110 4220 8440 52611901 105223802 210447604 263059505 420895208 526119010 1052238020 2104476040 11101111111 22202222222 44404444444 55505555555 88808888888 111011111110 222022222220 444044444440