Search a number
-
+
132544423155000 = 23354173433711777
BaseRepresentation
bin11110001000110001100111…
…010000100101010100111000
3122101022010022202001221110110
4132020301213100211110320
5114333101434311430000
61145522022320344320
736630006236524503
oct3610614720452470
9571263282057413
10132544423155000
113926185749934a
1212a47bb71750a0
1358c5b684c904c
1424a3281a6413a
15104cbb8150850
hex788c67425538

132544423155000 has 320 divisors, whose sum is σ = 416593634988960. Its totient is φ = 35129786368000.

The previous prime is 132544423154999. The next prime is 132544423155031. The reversal of 132544423155000 is 551324445231.

132544423155000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132544423155000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11254509112 + ... + 11254520888.

Almost surely, 2132544423155000 is an apocalyptic number.

132544423155000 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 132544423155000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208296817494480).

132544423155000 is an abundant number, since it is smaller than the sum of its proper divisors (284049211833960).

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

132544423155000 is a wasteful number, since it uses less digits than its factorization.

132544423155000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316 (or 16297 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 132544423155000 in words is "one hundred thirty-two trillion, five hundred forty-four billion, four hundred twenty-three million, one hundred fifty-five thousand".