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202444232441 = 113110114514051
BaseRepresentation
bin1011110010001010011…
…1011101011011111001
3201100112200112120001212
42330202213131123321
511304101210414231
6233000202252505
720424520404053
oct2744247353371
9640480476055
10202444232441
1178946545210
123329a1b7135
1316123823c69
149b269768d3
1553ecd3642b
hex2f229dd6f9

202444232441 has 32 divisors (see below), whose sum is σ = 230445084672. Its totient is φ = 176175000000.

The previous prime is 202444232423. The next prime is 202444232467. The reversal of 202444232441 is 144232444202.

It is a cyclic number.

It is not a de Polignac number, because 202444232441 - 222 = 202440038137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202444232398 and 202444232407.

It is not an unprimeable number, because it can be changed into a prime (202444232401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49971866 + ... + 49975916.

It is an arithmetic number, because the mean of its divisors is an integer number (7201408896).

Almost surely, 2202444232441 is an apocalyptic number.

It is an amenable number.

202444232441 is a deficient number, since it is larger than the sum of its proper divisors (28000852231).

202444232441 is a wasteful number, since it uses less digits than its factorization.

202444232441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645.

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 202444232441 its reverse (144232444202), we get a palindrome (346676676643).

The spelling of 202444232441 in words is "two hundred two billion, four hundred forty-four million, two hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 11 31 101 341 1111 1451 3131 4051 15961 34441 44561 44981 125581 146551 409151 494791 1381391 1612061 4500661 4543081 5878001 12683681 49973891 64658011 139520491 182218031 593678101 2004398341 6530459111 18404021131 202444232441