Search a number
-
+
253142243311132 = 22767092841147431
BaseRepresentation
bin111001100011101101000101…
…011111010111111000011100
31020012022011101011221111021001
4321203231011133113320130
5231134440303241424012
62254215535142120044
7104214631526350030
oct7143550537277034
91205264334844231
10253142243311132
1173728027a4309a
12244847b5120024
13ab33298a8b076
1446722156661c0
151e3ec26089357
hexe63b457d7e1c

253142243311132 has 48 divisors (see below), whose sum is σ = 506388448867840. Its totient is φ = 108467257204800.

The previous prime is 253142243311121. The next prime is 253142243311183. The reversal of 253142243311132 is 231113342241352.

It is a junction number, because it is equal to n+sod(n) for n = 253142243311091 and 253142243311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5337039457 + ... + 5337086887.

Almost surely, 2253142243311132 is an apocalyptic number.

It is an amenable number.

253142243311132 is an abundant number, since it is smaller than the sum of its proper divisors (253246205556708).

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

253142243311132 is a wasteful number, since it uses less digits than its factorization.

253142243311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82562 (or 82560 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

Adding to 253142243311132 its reverse (231113342241352), we get a palindrome (484255585552484).

The spelling of 253142243311132 in words is "two hundred fifty-three trillion, one hundred forty-two billion, two hundred forty-three million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 6709 13418 26836 28411 46963 47431 56822 93926 94862 113644 187852 189724 198877 332017 397754 664034 795508 1328068 190609399 318214579 381218798 636429158 762437596 1272858316 1334265793 1347562141 2227502053 2668531586 2695124282 4455004106 5337063172 5390248564 8910008212 9432934987 18865869974 37731739948 9040794403969 18081588807938 36163177615876 63285560827783 126571121655566 253142243311132