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444840244056 = 2332131953683691
BaseRepresentation
bin1100111100100101000…
…10110111001101011000
31120112012200101210002200
412132102202313031120
524242013100302211
6540205022130200
744065361454345
oct6362242671530
91515180353080
10444840244056
111617237a243a
1272268120960
1332c43415b30
141775d5277cc
15b8882cbb56
hex67928b7358

444840244056 has 384 divisors, whose sum is σ = 1395560275200. Its totient is φ = 126853309440.

The previous prime is 444840244001. The next prime is 444840244081. The reversal of 444840244056 is 650442048444.

It is a super-2 number, since 2×4448402440562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643762671 + ... + 643763361.

It is an arithmetic number, because the mean of its divisors is an integer number (3634271550).

Almost surely, 2444840244056 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 444840244056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697780137600).

444840244056 is an abundant number, since it is smaller than the sum of its proper divisors (950720031144).

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

444840244056 is a wasteful number, since it uses less digits than its factorization.

444840244056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 45.

The spelling of 444840244056 in words is "four hundred forty-four billion, eight hundred forty million, two hundred forty-four thousand, fifty-six".