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444401013 = 37191113787
BaseRepresentation
bin11010011111010…
…000010101110101
31010222012220120210
4122133100111311
51402231313023
6112033020033
714004226530
oct3237202565
91128186523
10444401013
11208942071
121049b4619
13710b93a4
1443041a17
1529034593
hex1a7d0575

444401013 has 16 divisors (see below), whose sum is σ = 712824320. Its totient is φ = 240577776.

The previous prime is 444400981. The next prime is 444401021. The reversal of 444401013 is 310104444.

It is not a de Polignac number, because 444401013 - 25 = 444400981 is a prime.

It is a super-3 number, since 3×4444010133 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444401033) 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, 556495 + ... + 557292.

It is an arithmetic number, because the mean of its divisors is an integer number (44551520).

Almost surely, 2444401013 is an apocalyptic number.

It is an amenable number.

444401013 is a deficient number, since it is larger than the sum of its proper divisors (268423307).

444401013 is a wasteful number, since it uses less digits than its factorization.

444401013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113816.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 444401013 is about 21080.8209754744. The cubic root of 444401013 is about 763.1179692626.

Adding to 444401013 its reverse (310104444), we get a palindrome (754505457).

The spelling of 444401013 in words is "four hundred forty-four million, four hundred one thousand, thirteen".

Divisors: 1 3 7 19 21 57 133 399 1113787 3341361 7796509 21161953 23389527 63485859 148133671 444401013