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32311141009 = 72256792
BaseRepresentation
bin11110000101111001…
…001110001010010001
310002101211010000211021
4132011321032022101
51012133123003014
622502111515441
72222462111200
oct360571161221
9102354100737
1032311141009
1112780884524
126318b28b81
13307c13b264
1417c7377237
15c9199b624
hex785e4e291

32311141009 has 9 divisors (see below), whose sum is σ = 37587893097. Its totient is φ = 27694185204.

The previous prime is 32311140977. The next prime is 32311141061. The reversal of 32311141009 is 90014111323.

The square root of 32311141009 is 179753.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 32311141009 - 25 = 32311140977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32311141099) 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 8 ways as a sum of consecutive naturals, for example, 1245432 + ... + 1271110.

Almost surely, 232311141009 is an apocalyptic number.

32311141009 is the 179753-rd square number.

32311141009 is the 89877-th centered octagonal number.

It is an amenable number.

32311141009 is a deficient number, since it is larger than the sum of its proper divisors (5276752088).

32311141009 is an frugal number, since it uses more digits than its factorization.

32311141009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51372 (or 25686 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Multiplying 32311141009 by its sum of digits (25), we get a square (807778525225 = 8987652).

The spelling of 32311141009 in words is "thirty-two billion, three hundred eleven million, one hundred forty-one thousand, nine".

Divisors: 1 7 49 25679 179753 1258271 659411041 4615877287 32311141009