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442431134001231 = 34201124987280871
BaseRepresentation
bin110010010011000111000011…
…0100101000110100001001111
32011000112000002102201111000220
41210212032012211012201033
5430442242430301014411
64204550020154122423
7162122410642032144
oct14446160645064117
92130460072644026
10442431134001231
11118a76a98a95881
124175614b720413
1315cb40ccca6c3b
147b37ad16503cb
1536239b0b9ab06
hex192638694684f

442431134001231 has 16 divisors (see below), whose sum is σ = 590055421241088. Its totient is φ = 294880469688000.

The previous prime is 442431134001173. The next prime is 442431134001281. The reversal of 442431134001231 is 132100431134244.

It is a happy number.

It is not a de Polignac number, because 442431134001231 - 26 = 442431134001167 is a prime.

It is a super-2 number, since 2×4424311340012312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442431134001192 and 442431134001201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442431134001281) 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, 1575070726 + ... + 1575351596.

It is an arithmetic number, because the mean of its divisors is an integer number (36878463827568).

Almost surely, 2442431134001231 is an apocalyptic number.

442431134001231 is a deficient number, since it is larger than the sum of its proper divisors (147624287239857).

442431134001231 is a wasteful number, since it uses less digits than its factorization.

442431134001231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410062.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 442431134001231 its reverse (132100431134244), we get a palindrome (574531565135475).

The spelling of 442431134001231 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred thirty-four million, one thousand, two hundred thirty-one".

Divisors: 1 3 4201 12603 124987 280871 374961 842613 525070387 1179939071 1575211161 3539817213 35105223677 105315671031 147477044667077 442431134001231