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130241141442 = 232191378633221
BaseRepresentation
bin111100101001011111…
…0100001101011000010
3110110011201200111111100
41321102332201223002
54113213213011232
6135455411355230
712260332302426
oct1712276415302
9413151614440
10130241141442
1150264802285
12212a95b2b16
13c387b35089
14643751ab86
1535c40e7c7c
hex1e52fa1ac2

130241141442 has 96 divisors (see below), whose sum is σ = 299649093120. Its totient is φ = 40768600320.

The previous prime is 130241141399. The next prime is 130241141483. The reversal of 130241141442 is 244141142031.

130241141442 is a `hidden beast` number, since 1 + 3 + 0 + 241 + 1 + 414 + 4 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40433392 + ... + 40436612.

It is an arithmetic number, because the mean of its divisors is an integer number (3121344720).

Almost surely, 2130241141442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130241141442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149824546560).

130241141442 is an abundant number, since it is smaller than the sum of its proper divisors (169407951678).

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

130241141442 is a wasteful number, since it uses less digits than its factorization.

130241141442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 130241141442 its reverse (244141142031), we get a palindrome (374382283473).

The spelling of 130241141442 in words is "one hundred thirty billion, two hundred forty-one million, one hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 137 171 274 342 411 822 863 1233 1726 2466 2589 2603 3221 5178 5206 6442 7767 7809 9663 15534 15618 16397 19326 23427 28989 32794 46854 49191 57978 61199 98382 118231 122398 147573 183597 236462 295146 354693 367194 441277 550791 709386 882554 1064079 1101582 1323831 2128158 2246389 2647662 2779723 3971493 4492778 5559446 6739167 7942986 8339169 8384263 13478334 16678338 16768526 20217501 25017507 25152789 40435002 50035014 50305578 52814737 75458367 105629474 150916734 158444211 316888422 380822051 475332633 761644102 950665266 1142466153 2284932306 3427398459 6854796918 7235618969 14471237938 21706856907 43413713814 65120570721 130241141442