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202441041441 = 3222493449049
BaseRepresentation
bin1011110010001001101…
…1010010011000100001
3201100112110112102211200
42330202123102120201
511304044401311231
6233000010031413
720424451313622
oct2744233223041
9640473472750
10202441041441
1178944765821
1233299118569
1316122c776b2
149b26385a49
1553ec905be6
hex2f226d2621

202441041441 has 6 divisors (see below), whose sum is σ = 292414837650. Its totient is φ = 134960694288.

The previous prime is 202441041431. The next prime is 202441041461. The reversal of 202441041441 is 144140144202.

It is a happy number.

202441041441 is a `hidden beast` number, since 2 + 0 + 244 + 1 + 0 + 414 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173576390625 + 28864650816 = 416625^2 + 169896^2 .

It is not a de Polignac number, because 202441041441 - 217 = 202440910369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202441041431) 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 5 ways as a sum of consecutive naturals, for example, 11246724516 + ... + 11246724533.

It is an arithmetic number, because the mean of its divisors is an integer number (48735806275).

Almost surely, 2202441041441 is an apocalyptic number.

It is an amenable number.

202441041441 is a deficient number, since it is larger than the sum of its proper divisors (89973796209).

202441041441 is a wasteful number, since it uses less digits than its factorization.

202441041441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22493449055 (or 22493449052 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 202441041441 its reverse (144140144202), we get a palindrome (346581185643).

The spelling of 202441041441 in words is "two hundred two billion, four hundred forty-one million, forty-one thousand, four hundred forty-one".

Divisors: 1 3 9 22493449049 67480347147 202441041441