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341131314636 = 223272319976257
BaseRepresentation
bin1001111011011010000…
…00101100010111001100
31012121112000202022011200
410331231000230113030
521042114104032021
6420414043545500
733434360221500
oct4755500542714
91177460668150
10341131314636
11121744808812
125614422b290
13262263a72c8
1412721a80300
158d18665126
hex4f6d02c5cc

341131314636 has 216 divisors, whose sum is σ = 1036650416256. Its totient is φ = 94212357120.

The previous prime is 341131314631. The next prime is 341131314697. The reversal of 341131314636 is 636413131143.

341131314636 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 3 + 1 + 3 + 14 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 341131314636.

It is not an unprimeable number, because it can be changed into a prime (341131314631) 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 71 ways as a sum of consecutive naturals, for example, 54516820 + ... + 54523076.

Almost surely, 2341131314636 is an apocalyptic number.

341131314636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341131314636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518325208128).

341131314636 is an abundant number, since it is smaller than the sum of its proper divisors (695519101620).

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

341131314636 is a wasteful number, since it uses less digits than its factorization.

341131314636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7297 counting only the distinct ones).

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

Adding to 341131314636 its reverse (636413131143), we get a palindrome (977544445779).

The spelling of 341131314636 in words is "three hundred forty-one billion, one hundred thirty-one million, three hundred fourteen thousand, six hundred thirty-six".