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442405438629 = 37211273596437
BaseRepresentation
bin1100111000000010110…
…10110100010010100101
31120021220222212211221220
412130001122310102211
524222021243014004
6535123243530553
743651135116300
oct6340132642245
91507828784856
10442405438629
11160694378050
12718a8829a59
1332945b61b6b
14175ac007b37
15b79467cdd9
hex67016b44a5

442405438629 has 24 divisors (see below), whose sum is σ = 748559854368. Its totient is φ = 229821006240.

The previous prime is 442405438613. The next prime is 442405438681. The reversal of 442405438629 is 926834504244.

It is not a de Polignac number, because 442405438629 - 24 = 442405438613 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442405438609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136796602 + ... + 136799835.

It is an arithmetic number, because the mean of its divisors is an integer number (31189993932).

Almost surely, 2442405438629 is an apocalyptic number.

442405438629 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

442405438629 is a deficient number, since it is larger than the sum of its proper divisors (306154415739).

442405438629 is a wasteful number, since it uses less digits than its factorization.

442405438629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273596465 (or 273596458 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 442405438629 in words is "four hundred forty-two billion, four hundred five million, four hundred thirty-eight thousand, six hundred twenty-nine".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 273596437 820789311 1915175059 3009560807 5745525177 9028682421 13406225413 21066925649 40218676239 63200776947 147468479543 442405438629