Search a number
-
+
204014014240131 = 32194038729540803
BaseRepresentation
bin101110011000110010110110…
…110110010001010110000011
3222202100112211102120220212100
4232120302312312101112003
5203220031200121141011
62001522424433201443
760654345313355604
oct5630626666212603
9882315742526770
10204014014240131
115a006948449a57
121aa6b348700283
1389ab592610ca4
14385448c2a5dab
15188bd15541d56
hexb98cb6d91583

204014014240131 has 24 divisors (see below), whose sum is σ = 310204437907520. Its totient is φ = 128847761593776.

The previous prime is 204014014240123. The next prime is 204014014240133. The reversal of 204014014240131 is 131042410410402.

204014014240131 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 1 + 401 + 4 + 240 + 13 + 1 = 666.

204014014240131 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 204014014240131 - 23 = 204014014240123 is a prime.

It is a super-2 number, since 2×2040140142401312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204014014240095 and 204014014240104.

It is not an unprimeable number, because it can be changed into a prime (204014014240133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7864225 + ... + 21676578.

Almost surely, 2204014014240131 is an apocalyptic number.

204014014240131 is a deficient number, since it is larger than the sum of its proper divisors (106190423667389).

204014014240131 is a wasteful number, since it uses less digits than its factorization.

204014014240131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29581215 (or 29581212 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 204014014240131 its reverse (131042410410402), we get a palindrome (335056424650533).

The spelling of 204014014240131 in words is "two hundred four trillion, fourteen billion, fourteen million, two hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 9 19 57 171 40387 121161 363483 767353 2302059 6906177 29540803 88622409 265867227 561275257 1683825771 5051477313 1193064410761 3579193232283 10737579696849 22668223804459 68004671413377 204014014240131