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202144422411 = 32711934313803
BaseRepresentation
bin1011110001000010111…
…1110001101000001011
3201022202210101122000200
42330100233301220023
511302442433004121
6232510332303243
720414220145251
oct2742057615013
9638683348020
10202144422411
1178802290528
1233215911b23
13160a6691789
149ad8c125d1
1553d1863a26
hex2f10bf1a0b

202144422411 has 48 divisors (see below), whose sum is σ = 298402071552. Its totient is φ = 131835110400.

The previous prime is 202144422313. The next prime is 202144422439. The reversal of 202144422411 is 114224441202.

202144422411 is a `hidden beast` number, since 2 + 0 + 214 + 442 + 2 + 4 + 1 + 1 = 666.

202144422411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202144422411 - 211 = 202144420363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202144420411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53152036 + ... + 53155838.

It is an arithmetic number, because the mean of its divisors is an integer number (6216709824).

Almost surely, 2202144422411 is an apocalyptic number.

202144422411 is a deficient number, since it is larger than the sum of its proper divisors (96257649141).

202144422411 is a wasteful number, since it uses less digits than its factorization.

202144422411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4501 counting only the distinct ones).

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

Adding to 202144422411 its reverse (114224441202), we get a palindrome (316368863613).

The spelling of 202144422411 in words is "two hundred two billion, one hundred forty-four million, four hundred twenty-two thousand, four hundred eleven".

Divisors: 1 3 9 71 193 213 431 579 639 1293 1737 3803 3879 11409 13703 30601 34227 41109 83183 91803 123327 249549 270013 275409 733979 748647 810039 1639093 2201937 2430117 4917279 5905993 6605811 14751837 17717979 52112509 53153937 116375603 156337527 316344949 349126809 469012581 949034847 1047380427 2847104541 22460491379 67381474137 202144422411