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31434332477 = 1719370913513
BaseRepresentation
bin11101010001101000…
…011101100100111101
310000010201020112122012
4131101220131210331
51003334142114402
622235110501005
72161654263122
oct352150354475
9100121215565
1031434332477
1112370952279
126113364765
132c6c5a4842
141742b36749
15c3ea01452
hex751a1d93d

31434332477 has 16 divisors (see below), whose sum is σ = 33505530480. Its totient is φ = 29388275712.

The previous prime is 31434332453. The next prime is 31434332491. The reversal of 31434332477 is 77423343413.

It can be written as a sum of positive squares in 8 ways, for example, as 1002925561 + 30431406916 = 31669^2 + 174446^2 .

It is a cyclic number.

It is not a de Polignac number, because 31434332477 - 218 = 31434070333 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 (31434332977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319473 + ... + 2332985.

It is an arithmetic number, because the mean of its divisors is an integer number (2094095655).

Almost surely, 231434332477 is an apocalyptic number.

It is an amenable number.

31434332477 is a deficient number, since it is larger than the sum of its proper divisors (2071198003).

31434332477 is a wasteful number, since it uses less digits than its factorization.

31434332477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14432.

The product of its digits is 508032, while the sum is 41.

The spelling of 31434332477 in words is "thirty-one billion, four hundred thirty-four million, three hundred thirty-two thousand, four hundred seventy-seven".

Divisors: 1 17 193 709 3281 12053 13513 136837 229721 2326229 2608009 9580717 44336153 162872189 1849078381 31434332477