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444044004440 = 23546051241061
BaseRepresentation
bin1100111011000110001…
…01011100110001011000
31120110011012010121200112
412131203011130301120
524233400231120230
6535554020023452
744036552522141
oct6354305346130
91513135117615
10444044004440
1116135529a873
1272085531b88
1332b4747b72a
14176c589aac8
15b83d448d95
hex676315cc58

444044004440 has 32 divisors (see below), whose sum is σ = 999124850160. Its totient is φ = 177613008000.

The previous prime is 444044004431. The next prime is 444044004451. The reversal of 444044004440 is 44400440444.

It is a super-2 number, since 2×4440440044402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444044004397 and 444044004406.

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 7 ways as a sum of consecutive naturals, for example, 1721510 + ... + 1962570.

Almost surely, 2444044004440 is an apocalyptic number.

444044004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444044004440 is an abundant number, since it is smaller than the sum of its proper divisors (555080845720).

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

444044004440 is a wasteful number, since it uses less digits than its factorization.

444044004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287123 (or 287119 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 444044004440 its reverse (44400440444), we get a palindrome (488444444884).

The spelling of 444044004440 in words is "four hundred forty-four billion, forty-four million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 46051 92102 184204 230255 241061 368408 460510 482122 921020 964244 1205305 1842040 1928488 2410610 4821220 9642440 11101100111 22202200222 44404400444 55505500555 88808800888 111011001110 222022002220 444044004440