Search a number
-
+
134324054400 = 27352127710957
BaseRepresentation
bin111110100011001010…
…1100110100110000000
3110211201021101222010210
41331012111212212000
54200043424220100
6141412502354120
712463450423644
oct1750625464600
9424637358123
10134324054400
1151a6a477208
1222048a2b940
13c8889969c3
146703894c24
153762799c50
hex1f46566980

134324054400 has 192 divisors, whose sum is σ = 442816724880. Its totient is φ = 35788431360.

The previous prime is 134324054357. The next prime is 134324054407. The reversal of 134324054400 is 4450423431.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134324054407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12253722 + ... + 12264678.

Almost surely, 2134324054400 is an apocalyptic number.

134324054400 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 134324054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221408362440).

134324054400 is an abundant number, since it is smaller than the sum of its proper divisors (308492670480).

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

134324054400 is a wasteful number, since it uses less digits than its factorization.

134324054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12261 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 134324054400 its reverse (4450423431), we get a palindrome (138774477831).

The spelling of 134324054400 in words is "one hundred thirty-four billion, three hundred twenty-four million, fifty-four thousand, four hundred".