Search a number
-
+
135403381368 = 23321880602519
BaseRepresentation
bin111111000011010101…
…0111010001001111000
3110221111111100110101200
41332012222322021320
54204301231200433
6142111540214200
712532264515543
oct1760652721170
9427444313350
10135403381368
1152473751572
12222aa39a360
13c9cb489b08
1467a6d7185a
1537c73ea613
hex1f86aba278

135403381368 has 24 divisors (see below), whose sum is σ = 366717491400. Its totient is φ = 45134460432.

The previous prime is 135403381361. The next prime is 135403381369. The reversal of 135403381368 is 863183304531.

135403381368 is a `hidden beast` number, since 1 + 3 + 540 + 3 + 38 + 13 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135403381361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 940301188 + ... + 940301331.

It is an arithmetic number, because the mean of its divisors is an integer number (15279895475).

Almost surely, 2135403381368 is an apocalyptic number.

135403381368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135403381368 is an abundant number, since it is smaller than the sum of its proper divisors (231314110032).

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

135403381368 is a wasteful number, since it uses less digits than its factorization.

135403381368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880602531 (or 1880602524 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 135403381368 its reverse (863183304531), we get a palindrome (998586685899).

The spelling of 135403381368 in words is "one hundred thirty-five billion, four hundred three million, three hundred eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1880602519 3761205038 5641807557 7522410076 11283615114 15044820152 16925422671 22567230228 33850845342 45134460456 67701690684 135403381368