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314314631748 = 223213251662497
BaseRepresentation
bin1001001001011101001…
…11001010101001000100
31010001022010102122221100
410210232213022221010
520122204021203443
6400221045220100
731465003200525
oct4445647125104
91101263378840
10314314631748
11111333462a77
1250abb401630
132384168c400
14112da31a84c
1582992413d3
hex492e9caa44

314314631748 has 54 divisors (see below), whose sum is σ = 860335579194. Its totient is φ = 96712192512.

The previous prime is 314314631717. The next prime is 314314631749. The reversal of 314314631748 is 847136413413.

314314631748 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 1 + 4 + 631 + 7 + 4 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8496783684 + 305817848064 = 92178^2 + 553008^2 .

It is not an unprimeable number, because it can be changed into a prime (314314631749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25825165 + ... + 25837332.

Almost surely, 2314314631748 is an apocalyptic number.

It is an amenable number.

314314631748 is an abundant number, since it is smaller than the sum of its proper divisors (546020947446).

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

314314631748 is a wasteful number, since it uses less digits than its factorization.

314314631748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51662533 (or 51662515 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 314314631748 in words is "three hundred fourteen billion, three hundred fourteen million, six hundred thirty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 51662497 103324994 154987491 206649988 309974982 464962473 619949964 671612461 929924946 1343224922 1859849892 2014837383 2686449844 4029674766 6044512149 8059349532 8730961993 12089024298 17461923986 24178048596 26192885979 34923847972 52385771958 78578657937 104771543916 157157315874 314314631748