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134043224040 = 233251124371563
BaseRepresentation
bin111110011010110011…
…0010100011111101000
3110210222200222022022100
41330311212110133220
54144010031132130
6141324551253400
712453500414355
oct1746546243750
9423880868270
10134043224040
11519359a6200
1221b8a97a260
13c84274b3ab
1466b847162c
153747cc5c60
hex1f359947e8

134043224040 has 288 divisors, whose sum is σ = 489987257760. Its totient is φ = 31739178240.

The previous prime is 134043224011. The next prime is 134043224047. The reversal of 134043224040 is 40422340431.

It is a happy number.

134043224040 is a `hidden beast` number, since 1 + 340 + 43 + 2 + 240 + 40 = 666.

It is a super-2 number, since 2×1340432240402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134043223995 and 134043224013.

It is not an unprimeable number, because it can be changed into a prime (134043224047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1837299 + ... + 1908861.

It is an arithmetic number, because the mean of its divisors is an integer number (1701344645).

Almost surely, 2134043224040 is an apocalyptic number.

134043224040 is a gapful number since it is divisible by the number (10) 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 134043224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244993628880).

134043224040 is an abundant number, since it is smaller than the sum of its proper divisors (355944033720).

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

134043224040 is a wasteful number, since it uses less digits than its factorization.

134043224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71645 (or 71627 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 134043224040 its reverse (40422340431), we get a palindrome (174465564471).

The spelling of 134043224040 in words is "one hundred thirty-four billion, forty-three million, two hundred twenty-four thousand, forty".