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444624131 = 7411549213
BaseRepresentation
bin11010100000000…
…110110100000011
31010222122020122102
4122200012310003
51402310433011
6112041501015
714006146160
oct3240066403
91128566572
10444624131
11208a84766
12104aa176b
1371166b03
144309d067
152907a73b
hex1a806d03

444624131 has 8 divisors (see below), whose sum is σ = 520535904. Its totient is φ = 371810880.

The previous prime is 444624113. The next prime is 444624133. The reversal of 444624131 is 131426444.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-444624131 is a prime.

It is a super-2 number, since 2×4446241312 = 395381235735010322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444624094 and 444624103.

It is not an unprimeable number, because it can be changed into a prime (444624133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774320 + ... + 774893.

It is an arithmetic number, because the mean of its divisors is an integer number (65066988).

Almost surely, 2444624131 is an apocalyptic number.

444624131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

444624131 is a deficient number, since it is larger than the sum of its proper divisors (75911773).

444624131 is a wasteful number, since it uses less digits than its factorization.

444624131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549261.

The product of its digits is 9216, while the sum is 29.

The square root of 444624131 is about 21086.1122779900. The cubic root of 444624131 is about 763.2456593918.

The spelling of 444624131 in words is "four hundred forty-four million, six hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 7 41 287 1549213 10844491 63517733 444624131