Search a number
-
+
135424141424531 = 1217224349610801
BaseRepresentation
bin11110110010101011100011…
…110101111111011110010011
3122202111102101021001012212022
4132302223203311333132103
5120222242120201041111
61200004554113122055
740345033320120551
oct3662534365773623
9582442337035768
10135424141424531
113a172068374703
1213232132b5932b
135a7459866c66b
1425627c6038bd1
15109ca5ccdd2db
hex7b2ae3d7f793

135424141424531 has 8 divisors (see below), whose sum is σ = 135595847139984. Its totient is φ = 135252534937600.

The previous prime is 135424141424449. The next prime is 135424141424587.

135424141424531 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135424141424531 is a prime.

It is a super-2 number, since 2×1354241414245312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135424141420531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22075670 + ... + 27535131.

It is an arithmetic number, because the mean of its divisors is an integer number (16949480892498).

Almost surely, 2135424141424531 is an apocalyptic number.

135424141424531 is a deficient number, since it is larger than the sum of its proper divisors (171705715453).

135424141424531 is a wasteful number, since it uses less digits than its factorization.

135424141424531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49614261.

The product of its digits is 921600, while the sum is 44.

The spelling of 135424141424531 in words is "one hundred thirty-five trillion, four hundred twenty-four billion, one hundred forty-one million, four hundred twenty-four thousand, five hundred thirty-one".

Divisors: 1 1217 2243 2729731 49610801 60376344817 111277026643 135424141424531