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444062260444 = 2211671011491403
BaseRepresentation
bin1100111011001000010…
…11000101110011011100
31120110012110111010012211
412131210023011303130
524233414414313234
6535555511210204
744040163635505
oct6354413056334
91513173433184
10444062260444
11161364629880
127208b676964
1332b4b1a10ba
14176c808dbac
15b83ed53164
hex67642c5cdc

444062260444 has 48 divisors (see below), whose sum is σ = 868927764096. Its totient is φ = 196865064000.

The previous prime is 444062260441. The next prime is 444062260493.

It is a happy number.

444062260444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444062260397 and 444062260406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444062260441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447954 + ... + 1043449.

It is an arithmetic number, because the mean of its divisors is an integer number (18102661752).

Almost surely, 2444062260444 is an apocalyptic number.

444062260444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444062260444 is a deficient number, since it is larger than the sum of its proper divisors (424865503652).

444062260444 is a wasteful number, since it uses less digits than its factorization.

444062260444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491586 (or 1491584 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 444062260444 in words is "four hundred forty-four billion, sixty-two million, two hundred sixty thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 67 101 134 202 268 404 737 1111 1474 2222 2948 4444 6767 13534 27068 74437 148874 297748 1491403 2982806 5965612 16405433 32810866 65621732 99924001 150631703 199848002 301263406 399696004 602526812 1099164011 1656948733 2198328022 3313897466 4396656044 6627794932 10092324101 20184648202 40369296404 111015565111 222031130222 444062260444