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204301434429 = 32171335303493
BaseRepresentation
bin1011111001000101010…
…0000111111000111101
3201112100010012012020200
42332101110013320331
511321402131400204
6233504344434113
720521531353111
oct2762124077075
9645303165220
10204301434429
1179709919594
1233718178939
131635b521551
149c6149d741
1554aaddd539
hex2f91507e3d

204301434429 has 12 divisors (see below), whose sum is σ = 312461017596. Its totient is φ = 128189135232.

The previous prime is 204301434419. The next prime is 204301434437. The reversal of 204301434429 is 924434103402.

204301434429 is a `hidden beast` number, since 2 + 0 + 4 + 301 + 4 + 344 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159581873529 + 44719560900 = 399477^2 + 211470^2 .

It is not a de Polignac number, because 204301434429 - 25 = 204301434397 is a prime.

It is a super-2 number, since 2×2043014344292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204301434393 and 204301434402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204301434419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667651594 + ... + 667651899.

It is an arithmetic number, because the mean of its divisors is an integer number (26038418133).

Almost surely, 2204301434429 is an apocalyptic number.

It is an amenable number.

204301434429 is a deficient number, since it is larger than the sum of its proper divisors (108159583167).

204301434429 is a wasteful number, since it uses less digits than its factorization.

204301434429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335303516 (or 1335303513 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 204301434429 in words is "two hundred four billion, three hundred one million, four hundred thirty-four thousand, four hundred twenty-nine".

Divisors: 1 3 9 17 51 153 1335303493 4005910479 12017731437 22700159381 68100478143 204301434429