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313844431005 = 3457110703503
BaseRepresentation
bin1001001000100101001…
…01011111100010011101
31010000002100122222210000
410210102211133202131
520120223133243010
6400102251204513
731450233435060
oct4442245374235
91100070588700
10313844431005
11111111aaa216
12509a9a46739
132379813bb11
1411293ac08d7
15826cd127c0
hex491295f89d

313844431005 has 40 divisors (see below), whose sum is σ = 642965951232. Its totient is φ = 143471738592.

The previous prime is 313844431001. The next prime is 313844431027. The reversal of 313844431005 is 500134448313.

313844431005 is a `hidden beast` number, since 31 + 3 + 84 + 443 + 100 + 5 = 666.

It is not a de Polignac number, because 313844431005 - 22 = 313844431001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313844431001) 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 39 ways as a sum of consecutive naturals, for example, 55348917 + ... + 55354586.

Almost surely, 2313844431005 is an apocalyptic number.

313844431005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313844431005 is an abundant number, since it is smaller than the sum of its proper divisors (329121520227).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313844431005 is a wasteful number, since it uses less digits than its factorization.

313844431005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110703527 (or 110703518 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 313844431005 its reverse (500134448313), we get a palindrome (813978879318).

The spelling of 313844431005 in words is "three hundred thirteen billion, eight hundred forty-four million, four hundred thirty-one thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 110703503 332110509 553517515 774924521 996331527 1660552545 2324773563 2988994581 3874622605 4981657635 6974320689 8966983743 11623867815 14944972905 20922962067 34871603445 44834918715 62768886201 104614810335 313844431005