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204430420410141 = 32329811125973031
BaseRepresentation
bin101110011110110110101010…
…100101101111111100011101
3222210211100122111021002011110
4232132312222211233330131
5203243342000111111031
62002442012202412233
761026416251410222
oct5636665245577435
9883740574232143
10204430420410141
115a1574aa916742
121ab17b9a201079
138a0b923bc7323
14386a6b1329949
151897a87412c46
hexb9edaa96ff1d

204430420410141 has 32 divisors (see below), whose sum is σ = 294595493713920. Its totient is φ = 125711006097600.

The previous prime is 204430420410089. The next prime is 204430420410149. The reversal of 204430420410141 is 141014024034402.

It is a happy number.

It is not a de Polignac number, because 204430420410141 - 214 = 204430420393757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204430420410099 and 204430420410108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204430420410149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61363705 + ... + 64609326.

It is an arithmetic number, because the mean of its divisors is an integer number (9206109178560).

Almost surely, 2204430420410141 is an apocalyptic number.

It is an amenable number.

204430420410141 is a deficient number, since it is larger than the sum of its proper divisors (90165073303779).

204430420410141 is a wasteful number, since it uses less digits than its factorization.

204430420410141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125973897.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 204430420410141 its reverse (141014024034402), we get a palindrome (345444444444543).

The spelling of 204430420410141 in words is "two hundred four trillion, four hundred thirty billion, four hundred twenty million, four hundred ten thousand, one hundred forty-one".

Divisors: 1 3 23 29 69 87 667 811 2001 2433 18653 23519 55959 70557 540937 1622811 125973031 377919093 2897379713 3653217899 8692139139 10959653697 84024011677 102164128141 252072035031 306492384423 2349774947243 2962759716089 7049324841729 8888279148267 68143473470047 204430420410141