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412431202431 = 32547755911083
BaseRepresentation
bin1100000000001101101…
…00001011100001111111
31110102120001001212212200
412000012310023201333
523224124341434211
6513245052002543
741540300243463
oct6000664134177
91412501055780
10412431202431
11149a02730816
1267b22460453
132cb79c1a821
1415d671884a3
15aadce42b56
hex6006d0b87f

412431202431 has 24 divisors (see below), whose sum is σ = 596955864960. Its totient is φ = 274390408656.

The previous prime is 412431202423. The next prime is 412431202471. The reversal of 412431202431 is 134202134214.

412431202431 is a `hidden beast` number, since 4 + 1 + 24 + 3 + 1 + 202 + 431 = 666.

It is not a de Polignac number, because 412431202431 - 23 = 412431202423 is a prime.

It is a super-2 number, since 2×4124312024312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412431202395 and 412431202404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412431202411) 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, 37207416 + ... + 37218498.

It is an arithmetic number, because the mean of its divisors is an integer number (24873161040).

Almost surely, 2412431202431 is an apocalyptic number.

412431202431 is a deficient number, since it is larger than the sum of its proper divisors (184524662529).

412431202431 is a wasteful number, since it uses less digits than its factorization.

412431202431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19195 (or 19192 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 412431202431 its reverse (134202134214), we get a palindrome (546633336645).

The spelling of 412431202431 in words is "four hundred twelve billion, four hundred thirty-one million, two hundred two thousand, four hundred thirty-one".

Divisors: 1 3 9 547 1641 4923 7559 11083 22677 33249 68031 99747 4134773 6062401 12404319 18187203 37212957 54561609 83776397 251329191 753987573 45825689159 137477067477 412431202431