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241541424145142 = 21125922375861143
BaseRepresentation
bin110110111010111000111110…
…110010001110001011110110
31011200020010122011000210222022
4312322320332302032023312
5223124403314040121032
62213414333130433142
7101606535442415342
oct6672707662161366
91150203564023868
10241541424145142
116aa65162a5a100
122311041a2927b2
13a4a13490a6014
14439094b132622
151cdd0a7ba1512
hexdbae3ec8e2f6

241541424145142 has 48 divisors (see below), whose sum is σ = 406809936368640. Its totient is φ = 107446687083120.

The previous prime is 241541424145141. The next prime is 241541424145211.

241541424145142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 241541424145093 and 241541424145102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241541424145141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34746578 + ... + 41114565.

It is an arithmetic number, because the mean of its divisors is an integer number (8475207007680).

Almost surely, 2241541424145142 is an apocalyptic number.

241541424145142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241541424145142 is a deficient number, since it is larger than the sum of its proper divisors (165268512223498).

241541424145142 is a wasteful number, since it uses less digits than its factorization.

241541424145142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75861449 (or 75861438 counting only the distinct ones).

The product of its digits is 819200, while the sum is 44.

The spelling of 241541424145142 in words is "two hundred forty-one trillion, five hundred forty-one billion, four hundred twenty-four million, one hundred forty-five thousand, one hundred forty-two".

Divisors: 1 2 11 22 59 118 121 223 242 446 649 1298 2453 4906 7139 13157 14278 26314 26983 53966 144727 289454 1591997 3183994 75861143 151722286 834472573 1668945146 4475807437 8951614874 9179198303 16917034889 18358396606 33834069778 49233881807 98467763614 186087383779 372174767558 541572699877 998105058451 1083145399754 1996210116902 2046961221569 4093922443138 10979155642961 21958311285922 120770712072571 241541424145142