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444242314431 = 3389184869877
BaseRepresentation
bin1100111011011101110…
…01111100010010111111
31120110200000021210212000
412131232321330102333
524234302013030211
6540025422313343
744044511240316
oct6355671742277
91513600253760
10444242314431
11161447229023
127211ba28853
1332b79593716
1417703d5d27d
15b850a6c656
hex676ee7c4bf

444242314431 has 16 divisors (see below), whose sum is σ = 665531560800. Its totient is φ = 292833883584.

The previous prime is 444242314391. The next prime is 444242314459. The reversal of 444242314431 is 134413242444.

444242314431 is a `hidden beast` number, since 4 + 442 + 42 + 3 + 144 + 31 = 666.

It is not a de Polignac number, because 444242314431 - 215 = 444242281663 is a prime.

It is a super-2 number, since 2×4442423144312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444242314931) 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, 92432536 + ... + 92437341.

It is an arithmetic number, because the mean of its divisors is an integer number (41595722550).

Almost surely, 2444242314431 is an apocalyptic number.

444242314431 is a deficient number, since it is larger than the sum of its proper divisors (221289246369).

444242314431 is a wasteful number, since it uses less digits than its factorization.

444242314431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184869975 (or 184869969 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 444242314431 its reverse (134413242444), we get a palindrome (578655556875).

The spelling of 444242314431 in words is "four hundred forty-four billion, two hundred forty-two million, three hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 89 267 801 2403 184869877 554609631 1663828893 4991486679 16453419053 49360257159 148080771477 444242314431