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134383200336 = 243471167101199
BaseRepresentation
bin111110100100111011…
…1001110100001010000
3110211212101200220010000
41331021313032201100
54200204044402321
6141422414210000
712465066233040
oct1751167164120
9424771626100
10134383200336
1151a9a8a4450
12220647b3900
13c898004cb8
14670b68d720
153767a7e826
hex1f49dce850

134383200336 has 800 divisors, whose sum is σ = 499525171200. Its totient is φ = 33872256000.

The previous prime is 134383200331. The next prime is 134383200373. The reversal of 134383200336 is 633002383431.

134383200336 is a `hidden beast` number, since 1 + 3 + 43 + 83 + 200 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134383200336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134383200331) 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 159 ways as a sum of consecutive naturals, for example, 675292365 + ... + 675292563.

It is an arithmetic number, because the mean of its divisors is an integer number (624406464).

Almost surely, 2134383200336 is an apocalyptic number.

134383200336 is a gapful number since it is divisible by the number (16) 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 134383200336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249762585600).

134383200336 is an abundant number, since it is smaller than the sum of its proper divisors (365141970864).

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

134383200336 is a wasteful number, since it uses less digits than its factorization.

134383200336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 134383200336 its reverse (633002383431), we get a palindrome (767385583767).

The spelling of 134383200336 in words is "one hundred thirty-four billion, three hundred eighty-three million, two hundred thousand, three hundred thirty-six".