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442431342221131 = 291031187124784299
BaseRepresentation
bin110010010011000111001001…
…0111111011001011101001011
32011000112000121221112011001001
41210212032102333121131023
5430442243342102034011
64204550052553035431
7162122416050623224
oct14446162277313513
92130460557464031
10442431342221131
11118a7709558253a
12417561a93b5b77
1315cb413417b793
147b37b1117224b
1536239c40ca7c1
hex1926392fd974b

442431342221131 has 16 divisors (see below), whose sum is σ = 462520495008000. Its totient is φ = 422671370734368.

The previous prime is 442431342221111. The next prime is 442431342221153. The reversal of 442431342221131 is 131122243134244.

It is a cyclic number.

It is not a de Polignac number, because 442431342221131 - 221 = 442431340123979 is a prime.

It is a super-2 number, since 2×4424313422211312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442431342221111) 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, 58846581 + ... + 65937718.

It is an arithmetic number, because the mean of its divisors is an integer number (28907530938000).

Almost surely, 2442431342221131 is an apocalyptic number.

442431342221131 is a deficient number, since it is larger than the sum of its proper divisors (20089152786869).

442431342221131 is a wasteful number, since it uses less digits than its factorization.

442431342221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124785618.

The product of its digits is 110592, while the sum is 37.

Adding to 442431342221131 its reverse (131122243134244), we get a palindrome (573553585355375).

The spelling of 442431342221131 in words is "four hundred forty-two trillion, four hundred thirty-one billion, three hundred forty-two million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 29 103 1187 2987 34423 122261 3545569 124784299 3618744671 12852782797 148118962913 372730701113 4295449924477 15256253180039 442431342221131