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414143422461 = 3246015935829
BaseRepresentation
bin1100000011011001101…
…11110001111111111101
31110120222100220200012100
412001230313301333331
523241131204004321
6514131014455313
741630601002556
oct6015467617775
91416870820170
10414143422461
1114a70118aa9a
126831b964539
1330090885282
141608a73132d
15ab8d40c326
hex606cdf1ffd

414143422461 has 6 divisors (see below), whose sum is σ = 598207165790. Its totient is φ = 276095614968.

The previous prime is 414143422453. The next prime is 414143422463. The reversal of 414143422461 is 164224341414.

414143422461 is a `hidden beast` number, since 4 + 14 + 143 + 42 + 2 + 461 = 666.

It can be written as a sum of positive squares in only one way, i.e., 267775200900 + 146368221561 = 517470^2 + 382581^2 .

It is not a de Polignac number, because 414143422461 - 23 = 414143422453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414143422463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23007967906 + ... + 23007967923.

Almost surely, 2414143422461 is an apocalyptic number.

It is an amenable number.

414143422461 is a deficient number, since it is larger than the sum of its proper divisors (184063743329).

414143422461 is a wasteful number, since it uses less digits than its factorization.

414143422461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46015935835 (or 46015935832 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 414143422461 its reverse (164224341414), we get a palindrome (578367763875).

The spelling of 414143422461 in words is "four hundred fourteen billion, one hundred forty-three million, four hundred twenty-two thousand, four hundred sixty-one".

Divisors: 1 3 9 46015935829 138047807487 414143422461