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134053333344 = 2535729163521
BaseRepresentation
bin111110011011000110…
…0111000100101100000
3110211000101222220200000
41330312030320211200
54144020123131334
6141325552100000
712453652350510
oct1746614704540
9424011886600
10134053333344
11519406804a7
1221b92234600
13c84487a928
1466b9943840
153748b21299
hex1f36338960

134053333344 has 576 divisors, whose sum is σ = 471159037440. Its totient is φ = 36682813440.

The previous prime is 134053333339. The next prime is 134053333361. The reversal of 134053333344 is 443333350431.

134053333344 is a `hidden beast` number, since 13 + 40 + 533 + 3 + 33 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134053333299 and 134053333308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257299804 + ... + 257300324.

It is an arithmetic number, because the mean of its divisors is an integer number (817984440).

Almost surely, 2134053333344 is an apocalyptic number.

134053333344 is a gapful number since it is divisible by the number (14) 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 134053333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235579518720).

134053333344 is an abundant number, since it is smaller than the sum of its proper divisors (337105704096).

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

134053333344 is a wasteful number, since it uses less digits than its factorization.

134053333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 134053333344 its reverse (443333350431), we get a palindrome (577386683775).

The spelling of 134053333344 in words is "one hundred thirty-four billion, fifty-three million, three hundred thirty-three thousand, three hundred forty-four".