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444452130031 = 71317739338861
BaseRepresentation
bin1100111011110110110…
…10010100110011101111
31120111012122002112202011
412131323122110303233
524240214221130111
6540102315342051
744052636525520
oct6357332246357
91514178075664
10444452130031
11161544705648
127217a151927
1332bb0ba6670
1417723b78847
15b8641b5021
hex677b694cef

444452130031 has 32 divisors (see below), whose sum is σ = 579288786048. Its totient is φ = 330915594240.

The previous prime is 444452130029. The next prime is 444452130043. The reversal of 444452130031 is 130031254444.

It is not a de Polignac number, because 444452130031 - 21 = 444452130029 is a prime.

It is a super-2 number, since 2×4444521300312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444452129975 and 444452130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444452139031) 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, 11417541 + ... + 11456401.

It is an arithmetic number, because the mean of its divisors is an integer number (18102774564).

Almost surely, 2444452130031 is an apocalyptic number.

444452130031 is a deficient number, since it is larger than the sum of its proper divisors (134836656017).

444452130031 is a wasteful number, since it uses less digits than its factorization.

444452130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46291.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 444452130031 its reverse (130031254444), we get a palindrome (574483384475).

The spelling of 444452130031 in words is "four hundred forty-four billion, four hundred fifty-two million, one hundred thirty thousand, thirty-one".

Divisors: 1 7 13 17 91 119 221 1547 7393 38861 51751 96109 125681 272027 505193 660637 672763 879767 1633853 3536351 4624459 8588281 11436971 60117967 287299373 2011095611 3734891849 4884089341 26144242943 34188625387 63493161433 444452130031