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204421242431 = 7349190144017
BaseRepresentation
bin1011111001100001110…
…1001001111000111111
3201112122110122001221002
42332120131021320333
511322123314224211
6233524304400515
720524514614430
oct2763035117077
9645573561832
10204421242431
117977050a06a
123375031613b
131637a2abc63
149c73369487
1554b66a703b
hex2f98749e3f

204421242431 has 16 divisors (see below), whose sum is σ = 234422260800. Its totient is φ = 174620275200.

The previous prime is 204421242419. The next prime is 204421242451. The reversal of 204421242431 is 134242124402.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-204421242431 is a prime.

It is a super-2 number, since 2×2044212424312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204421242394 and 204421242403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204421242451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4622135 + ... + 4666151.

It is an arithmetic number, because the mean of its divisors is an integer number (14651391300).

Almost surely, 2204421242431 is an apocalyptic number.

204421242431 is a deficient number, since it is larger than the sum of its proper divisors (30001018369).

204421242431 is a wasteful number, since it uses less digits than its factorization.

204421242431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46274.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 204421242431 its reverse (134242124402), we get a palindrome (338663366833).

The spelling of 204421242431 in words is "two hundred four billion, four hundred twenty-one million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 7 349 1901 2443 13307 44017 308119 663449 4644143 15361933 83676317 107533531 585734219 29203034633 204421242431