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132341334432 = 2533340941263
BaseRepresentation
bin111101101000000101…
…0001000000110100000
3110122121002120100122220
41323100022020012200
54132013340200212
6140444034031040
712363353532156
oct1732012100640
9418532510586
10132341334432
115114226236a
1221794a18480
13c630c8ca18
1465964173d6
15369869c38c
hex1ed02881a0

132341334432 has 48 divisors (see below), whose sum is σ = 347414820480. Its totient is φ = 44111388672.

The previous prime is 132341334421. The next prime is 132341334481. The reversal of 132341334432 is 234433143231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 132341334393 and 132341334402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3186633 + ... + 3227895.

It is an arithmetic number, because the mean of its divisors is an integer number (7237808760).

Almost surely, 2132341334432 is an apocalyptic number.

132341334432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132341334432 is an abundant number, since it is smaller than the sum of its proper divisors (215073486048).

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

132341334432 is a wasteful number, since it uses less digits than its factorization.

132341334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74685 (or 74677 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 132341334432 its reverse (234433143231), we get a palindrome (366774477663).

The spelling of 132341334432 in words is "one hundred thirty-two billion, three hundred forty-one million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 33409 41263 66818 82526 100227 123789 133636 165052 200454 247578 267272 330104 400908 495156 534544 660208 801816 990312 1069088 1320416 1603632 1980624 3207264 3961248 1378555567 2757111134 4135666701 5514222268 8271333402 11028444536 16542666804 22056889072 33085333608 44113778144 66170667216 132341334432