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2042222031441 = 32257561881009
BaseRepresentation
bin11101101101111101111…
…010110011001001010001
321020020022222001021120100
4131231331322303021101
5231424432320001231
64202103413403013
7300355110564444
oct35557572631121
97206288037510
102042222031441
11718113106a49
1228b968039469
1311a771a90227
1470bb61d165b
15381c9ad41e6
hex1db7deb3251

2042222031441 has 12 divisors (see below), whose sum is σ = 2949891069060. Its totient is φ = 1361474522880.

The previous prime is 2042222031433. The next prime is 2042222031557. The reversal of 2042222031441 is 1441302222402.

It is a happy number.

2042222031441 is a `hidden beast` number, since 2 + 0 + 422 + 220 + 3 + 14 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188526166416 + 1853695865025 = 434196^2 + 1361505^2 .

It is not a de Polignac number, because 2042222031441 - 23 = 2042222031433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2042222031431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1877545 + ... + 2758553.

It is an arithmetic number, because the mean of its divisors is an integer number (245824255755).

Almost surely, 22042222031441 is an apocalyptic number.

It is an amenable number.

2042222031441 is a deficient number, since it is larger than the sum of its proper divisors (907669037619).

2042222031441 is a wasteful number, since it uses less digits than its factorization.

2042222031441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138576 (or 1138573 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2042222031441 its reverse (1441302222402), we get a palindrome (3483524253843).

The spelling of 2042222031441 in words is "two trillion, forty-two billion, two hundred twenty-two million, thirty-one thousand, four hundred forty-one".

Divisors: 1 3 9 257561 772683 881009 2318049 2643027 7929081 226913559049 680740677147 2042222031441