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34132133244 = 22311967267401
BaseRepresentation
bin11111110010011011…
…110000010101111100
310021002201122000120010
4133302123300111330
51024400311230434
623402522023220
72315553226356
oct376233602574
9107081560503
1034132133244
1113525776990
126746947b10
1332ac49b261
14191b1560d6
15d4b79e9e9
hex7f26f057c

34132133244 has 48 divisors (see below), whose sum is σ = 86971965696. Its totient is φ = 10332336000.

The previous prime is 34132133227. The next prime is 34132133279. The reversal of 34132133244 is 44233123143.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6057 + ... + 261344.

It is an arithmetic number, because the mean of its divisors is an integer number (1811915952).

Almost surely, 234132133244 is an apocalyptic number.

It is an amenable number.

34132133244 is an abundant number, since it is smaller than the sum of its proper divisors (52839832452).

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

34132133244 is a wasteful number, since it uses less digits than its factorization.

34132133244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268386 (or 268384 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 34132133244 its reverse (44233123143), we get a palindrome (78365256387).

The spelling of 34132133244 in words is "thirty-four billion, one hundred thirty-two million, one hundred thirty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 967 1934 2901 3868 5802 10637 11604 21274 31911 42548 63822 127644 267401 534802 802203 1069604 1604406 2941411 3208812 5882822 8824233 11765644 17648466 35296932 258576767 517153534 775730301 1034307068 1551460602 2844344437 3102921204 5688688874 8533033311 11377377748 17066066622 34132133244