Search a number
-
+
134344224224 = 2572920681069
BaseRepresentation
bin111110100011110001…
…0100010110111100000
3110211202200100200221022
41331013202202313200
54200114110133344
6141414502545012
712464114031050
oct1750742426740
9424680320838
10134344224224
1151a7a8a3091
1222053738168
13c88cc09502
146706425560
1537644310ee
hex1f478a2de0

134344224224 has 48 divisors (see below), whose sum is σ = 312697778400. Its totient is φ = 55590710784.

The previous prime is 134344224193. The next prime is 134344224227. The reversal of 134344224224 is 422422443431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134344224227) 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 7 ways as a sum of consecutive naturals, for example, 10334039 + ... + 10347030.

It is an arithmetic number, because the mean of its divisors is an integer number (6514537050).

Almost surely, 2134344224224 is an apocalyptic number.

134344224224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134344224224 is an abundant number, since it is smaller than the sum of its proper divisors (178353554176).

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

134344224224 is a wasteful number, since it uses less digits than its factorization.

134344224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20681115 (or 20681107 counting only the distinct ones).

The product of its digits is 147456, while the sum is 35.

Adding to 134344224224 its reverse (422422443431), we get a palindrome (556766667655).

The spelling of 134344224224 in words is "one hundred thirty-four billion, three hundred forty-four million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 20681069 41362138 82724276 144767483 165448552 289534966 330897104 579069932 599751001 661794208 1158139864 1199502002 2316279728 2399004004 4198257007 4632559456 4798008008 8396514014 9596016016 16793028028 19192032032 33586056056 67172112112 134344224224