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3322141046334 = 232112310728324091
BaseRepresentation
bin110000010101111111000…
…010010111011000111110
3102202121000201110222212100
4300111333002113120332
5413412221101440314
611022100500045530
7462005515654065
oct60257702273076
912677021428770
103322141046334
111070a04015880
12457a2a3938a6
131b1379796156
14b6b148131dc
155b63aae2c09
hex3057f09763e

3322141046334 has 192 divisors, whose sum is σ = 8299884423168. Its totient is φ = 950529729600.

The previous prime is 3322141046309. The next prime is 3322141046351. The reversal of 3322141046334 is 4336401412233.

It is a happy number.

3322141046334 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 1 + 4 + 10 + 4 + 633 + 4 = 666.

It is a super-2 number, since 2×33221410463342 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137887629 + ... + 137911719.

It is an arithmetic number, because the mean of its divisors is an integer number (43228564704).

Almost surely, 23322141046334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322141046334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149942211584).

3322141046334 is an abundant number, since it is smaller than the sum of its proper divisors (4977743376834).

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

3322141046334 is a wasteful number, since it uses less digits than its factorization.

3322141046334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24523 (or 24520 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 3322141046334 its reverse (4336401412233), we get a palindrome (7658542458567).

The spelling of 3322141046334 in words is "three trillion, three hundred twenty-two billion, one hundred forty-one million, forty-six thousand, three hundred thirty-four".