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434212233132 = 223195335932823
BaseRepresentation
bin1100101000110010001…
…00001101111110101100
31112111202222220212221110
412110121010031332230
524103231312430012
6531250243032020
743241120040636
oct6243104157654
91474688825843
10434212233132
1115816a538537
12701a096b610
1331c3b5a3282
1417031c09a56
15b46521b73c
hex651910dfac

434212233132 has 48 divisors (see below), whose sum is σ = 1086608597760. Its totient is φ = 134532485568.

The previous prime is 434212233131. The next prime is 434212233149. The reversal of 434212233132 is 231332212434.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 434212233132.

It is not an unprimeable number, because it can be changed into a prime (434212233131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17954328 + ... + 17978495.

It is an arithmetic number, because the mean of its divisors is an integer number (22637679120).

Almost surely, 2434212233132 is an apocalyptic number.

It is an amenable number.

434212233132 is an abundant number, since it is smaller than the sum of its proper divisors (652396364628).

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

434212233132 is a wasteful number, since it uses less digits than its factorization.

434212233132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35932902 (or 35932900 counting only the distinct ones).

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

Adding to 434212233132 its reverse (231332212434), we get a palindrome (665544445566).

The spelling of 434212233132 in words is "four hundred thirty-four billion, two hundred twelve million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 2014 3021 4028 6042 12084 35932823 71865646 107798469 143731292 215596938 431193876 682723637 1365447274 1904439619 2048170911 2730894548 3808879238 4096341822 5713318857 7617758476 8192683644 11426637714 22853275428 36184352761 72368705522 108553058283 144737411044 217106116566 434212233132