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444024434031 = 31376731605277
BaseRepresentation
bin1100111011000011110…
…10110010110101101111
31120110002211022100010120
412131201322302311233
524233330223342111
6535552040340023
744036224262433
oct6354172626557
91513084270116
10444024434031
11161345243282
127207aa74613
1332b433b89c9
14176c30449c3
15b83b880406
hex6761eb2d6f

444024434031 has 16 divisors (see below), whose sum is σ = 597240469344. Its totient is φ = 293418768384.

The previous prime is 444024433939. The next prime is 444024434033. The reversal of 444024434031 is 130434420444.

It is not a de Polignac number, because 444024434031 - 218 = 444024171887 is a prime.

It is a super-2 number, since 2×4440244340312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444024433983 and 444024434001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444024434033) 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, 526036 + ... + 1079241.

It is an arithmetic number, because the mean of its divisors is an integer number (37327529334).

Almost surely, 2444024434031 is an apocalyptic number.

444024434031 is a deficient number, since it is larger than the sum of its proper divisors (153216035313).

444024434031 is a wasteful number, since it uses less digits than its factorization.

444024434031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606090.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 444024434031 its reverse (130434420444), we get a palindrome (574458854475).

The spelling of 444024434031 in words is "four hundred forty-four billion, twenty-four million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 137 411 673 2019 92201 276603 1605277 4815831 219922949 659768847 1080351421 3241054263 148008144677 444024434031