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444301412131 = 19592293534903
BaseRepresentation
bin1100111011100100110…
…11011000011100100011
31120110211010111021122201
412131302123120130203
524234412130142011
6540035333114031
744046126455653
oct6356233303443
91513733437581
10444301412131
11161477622aa5
1272137788917
1332b888b5a85
141770bb44363
15b855d42cc1
hex67726d8723

444301412131 has 32 divisors (see below), whose sum is σ = 479140416000. Its totient is φ = 410725168128.

The previous prime is 444301412117. The next prime is 444301412153. The reversal of 444301412131 is 131214103444.

It is not a de Polignac number, because 444301412131 - 25 = 444301412099 is a prime.

It is a super-2 number, since 2×4443014121312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444301412131.

It is not an unprimeable number, because it can be changed into a prime (444301412161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90615826 + ... + 90620728.

It is an arithmetic number, because the mean of its divisors is an integer number (14973138000).

Almost surely, 2444301412131 is an apocalyptic number.

444301412131 is a deficient number, since it is larger than the sum of its proper divisors (34839003869).

444301412131 is a wasteful number, since it uses less digits than its factorization.

444301412131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 444301412131 its reverse (131214103444), we get a palindrome (575515515575).

The spelling of 444301412131 in words is "four hundred forty-four billion, three hundred one million, four hundred twelve thousand, one hundred thirty-one".

Divisors: 1 19 59 229 353 1121 4351 4903 6707 13511 20827 80837 93157 256709 289277 395713 1122787 1535903 1730759 4769383 5496263 21332953 32884421 66244433 90618277 102114781 396343811 1258644227 1940180839 7530532409 23384284849 444301412131