Search a number
-
+
135434442540510 = 23251504827139339
BaseRepresentation
bin11110110010110101001001…
…110101101000010111011110
3122202112101222011102010110100
4132302311021311220113132
5120222424214242244020
61200013420213521530
740345546512140631
oct3662651165502736
9582471864363410
10135434442540510
113a1764740555a3
12132341289432a6
135a7554a858869
1425630c2181c18
15109ce6232aa90
hex7b2d49d685de

135434442540510 has 24 divisors (see below), whose sum is σ = 352129550605560. Its totient is φ = 36115851344112.

The previous prime is 135434442540503. The next prime is 135434442540571. The reversal of 135434442540510 is 15045244434531.

135434442540510 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 3 + 44 + 42 + 54 + 0 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 752413569580 + ... + 752413569759.

It is an arithmetic number, because the mean of its divisors is an integer number (14672064608565).

Almost surely, 2135434442540510 is an apocalyptic number.

135434442540510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135434442540510 is an abundant number, since it is smaller than the sum of its proper divisors (216695108065050).

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

135434442540510 is a wasteful number, since it uses less digits than its factorization.

135434442540510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504827139352 (or 1504827139349 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 135434442540510 in words is "one hundred thirty-five trillion, four hundred thirty-four billion, four hundred forty-two million, five hundred forty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1504827139339 3009654278678 4514481418017 7524135696695 9028962836034 13543444254051 15048271393390 22572407090085 27086888508102 45144814180170 67717221270255 135434442540510