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204002014041 = 32721727211153
BaseRepresentation
bin1011110111111101110…
…1111011001101011001
3201111120020210001200200
42331333131323031121
511320244003422131
6233414531052413
720511234336300
oct2757735731531
9644506701620
10204002014041
1179575900621
1233653a41109
1316311497517
149c337db437
15548e9962e6
hex2f7f77b359

204002014041 has 36 divisors (see below), whose sum is σ = 362942372052. Its totient is φ = 109715364864.

The previous prime is 204002014037. The next prime is 204002014057. The reversal of 204002014041 is 140410200402.

204002014041 is a `hidden beast` number, since 20 + 40 + 0 + 201 + 404 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88622908416 + 115379105625 = 297696^2 + 339675^2 .

It is not a de Polignac number, because 204002014041 - 22 = 204002014037 is a prime.

It is a super-2 number, since 2×2040020140412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204002014031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13598080 + ... + 13613073.

It is an arithmetic number, because the mean of its divisors is an integer number (10081732557).

Almost surely, 2204002014041 is an apocalyptic number.

204002014041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204002014041 is a deficient number, since it is larger than the sum of its proper divisors (158940358011).

204002014041 is a wasteful number, since it uses less digits than its factorization.

204002014041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27211190 (or 27211180 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 204002014041 its reverse (140410200402), we get a palindrome (344412214443).

The spelling of 204002014041 in words is "two hundred four billion, two million, fourteen thousand, forty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 27211153 81633459 190478071 244900377 462589601 571434213 1333346497 1387768803 1714302639 3238127207 4000039491 4163306409 9714381621 12000118473 22666890449 29143144863 68000671347 204002014041