Search a number
-
+
135414230215050 = 23252300920511589
BaseRepresentation
bin11110110010100010010101…
…000101101110100110001010
3122202110110210112100121102200
4132302202111011232212022
5120222111320413340200
61200000234421341030
740344232601203233
oct3662422505564612
9582413715317380
10135414230215050
113a168941795296
1213230227867776
135a7367919c777
1425621259ca08a
15109c67cb1d800
hex7b289516e98a

135414230215050 has 36 divisors (see below), whose sum is σ = 363812898512310. Its totient is φ = 36110461390560.

The previous prime is 135414230215039. The next prime is 135414230215081. The reversal of 135414230215050 is 50512032414531.

135414230215050 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 142 + 3 + 0 + 2 + 1 + 505 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 123095541194649 + 12318689020401 = 11094843^2 + 3509799^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135414230214996 and 135414230215014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150460255345 + ... + 150460256244.

Almost surely, 2135414230215050 is an apocalyptic number.

135414230215050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135414230215050 is an abundant number, since it is smaller than the sum of its proper divisors (228398668297260).

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

135414230215050 is a wasteful number, since it uses less digits than its factorization.

135414230215050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300920511607 (or 300920511599 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 135414230215050 its reverse (50512032414531), we get a palindrome (185926262629581).

The spelling of 135414230215050 in words is "one hundred thirty-five trillion, four hundred fourteen billion, two hundred thirty million, two hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 300920511589 601841023178 902761534767 1504602557945 1805523069534 2708284604301 3009205115890 4513807673835 5416569208602 7523012789725 9027615347670 13541423021505 15046025579450 22569038369175 27082846043010 45138076738350 67707115107525 135414230215050