Search a number
-
+
134800141344 = 253112943102367
BaseRepresentation
bin111110110001010110…
…1101110110000100000
3110212221110020200122120
41331202231232300200
54202032314010334
6141532030504240
712511321203351
oct1754255566040
9425843220576
10134800141344
11521941903a0
1222160365080
13c9334c855b
14674abc3d28
15378e48c949
hex1f62b6ec20

134800141344 has 192 divisors, whose sum is σ = 408620298240. Its totient is φ = 38522373120.

The previous prime is 134800141327. The next prime is 134800141349. The reversal of 134800141344 is 443141008431.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (134800141349) 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 31 ways as a sum of consecutive naturals, for example, 1265649 + ... + 1368015.

It is an arithmetic number, because the mean of its divisors is an integer number (2128230720).

Almost surely, 2134800141344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134800141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204310149120).

134800141344 is an abundant number, since it is smaller than the sum of its proper divisors (273820156896).

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

134800141344 is a wasteful number, since it uses less digits than its factorization.

134800141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102463 (or 102455 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 134800141344 its reverse (443141008431), we get a palindrome (577941149775).

The spelling of 134800141344 in words is "one hundred thirty-four billion, eight hundred million, one hundred forty-one thousand, three hundred forty-four".