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341620131366 = 2351941712179
BaseRepresentation
bin1001111100010100010…
…01011000011000100110
31012122210002112202200000
410332022021120120212
521044114223200431
6420534345002130
733452444130243
oct4761211303046
91178702482600
10341620131366
11121975726a88
125625ba83346
13262a3745087
141276a9645ca
158d4651e9e6
hex4f8a258626

341620131366 has 288 divisors, whose sum is σ = 844209475200. Its totient is φ = 103186742400.

The previous prime is 341620131361. The next prime is 341620131373. The reversal of 341620131366 is 663131026143.

341620131366 is a `hidden beast` number, since 3 + 4 + 1 + 620 + 13 + 13 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 341620131366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341620131361) 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 143 ways as a sum of consecutive naturals, for example, 1908492265 + ... + 1908492443.

It is an arithmetic number, because the mean of its divisors is an integer number (2931282900).

Almost surely, 2341620131366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341620131366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422104737600).

341620131366 is an abundant number, since it is smaller than the sum of its proper divisors (502589343834).

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

341620131366 is a wasteful number, since it uses less digits than its factorization.

341620131366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 341620131366 in words is "three hundred forty-one billion, six hundred twenty million, one hundred thirty-one thousand, three hundred sixty-six".