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31742224713 = 3217277748973
BaseRepresentation
bin11101100011111110…
…111110100101001001
310000221011121002101100
4131203332332211021
51010002002142323
622325430012013
72202413313123
oct354376764511
9100834532340
1031742224713
1112509727271
12619a4a7009
132cbb3069b4
1417719a2213
15c5ba6d943
hex763fbe949

31742224713 has 24 divisors (see below), whose sum is σ = 48722256648. Its totient is φ = 19844762112.

The previous prime is 31742224711. The next prime is 31742224741.

31742224713 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 12098240064 + 19643984649 = 109992^2 + 140157^2 .

It is not a de Polignac number, because 31742224713 - 21 = 31742224711 is a prime.

It is a super-3 number, since 3×317422247133 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31742224711) 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, 332106 + ... + 416867.

It is an arithmetic number, because the mean of its divisors is an integer number (2030094027).

Almost surely, 231742224713 is an apocalyptic number.

It is an amenable number.

31742224713 is a deficient number, since it is larger than the sum of its proper divisors (16980031935).

31742224713 is a wasteful number, since it uses less digits than its factorization.

31742224713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749273 (or 749270 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The spelling of 31742224713 in words is "thirty-one billion, seven hundred forty-two million, two hundred twenty-four thousand, seven hundred thirteen".

Divisors: 1 3 9 17 51 153 277 831 2493 4709 14127 42381 748973 2246919 6740757 12732541 38197623 114592869 207465521 622396563 1867189689 3526913857 10580741571 31742224713