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134831501046 = 23311271509571
BaseRepresentation
bin111110110010010010…
…1010110111011110110
3110220000122020221002000
41331210211112323312
54202113331013141
6141535111000130
712512151564144
oct1754445267366
9426018227060
10134831501046
11521aa95a400
122216a969046
13c939b583a8
146751028594
1537920d45b6
hex1f64956ef6

134831501046 has 192 divisors, whose sum is σ = 335221286400. Its totient is φ = 40133016000.

The previous prime is 134831501041. The next prime is 134831501059. The reversal of 134831501046 is 640105138431.

134831501046 is a `hidden beast` number, since 1 + 34 + 83 + 1 + 501 + 0 + 46 = 666.

It is a super-3 number, since 3×1348315010463 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134831501046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134831501041) by changing a digit.

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, 236131941 + ... + 236132511.

It is an arithmetic number, because the mean of its divisors is an integer number (1745944200).

Almost surely, 2134831501046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134831501046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167610643200).

134831501046 is an abundant number, since it is smaller than the sum of its proper divisors (200389785354).

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

134831501046 is a wasteful number, since it uses less digits than its factorization.

134831501046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 134831501046 its reverse (640105138431), we get a palindrome (774936639477).

The spelling of 134831501046 in words is "one hundred thirty-four billion, eight hundred thirty-one million, five hundred one thousand, forty-six".