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241351424153142 = 2361786783822311
BaseRepresentation
bin110110111000001000000001…
…111001110001011000110110
31011122112222012201112011120120
4312320020001321301120312
5223113300204040400032
62213151151423312410
7101560031166215532
oct6670100171613066
91148488181464516
10241351424153142
116a9a1622a08a26
122309b63374b706
13a489459777b54
1443856851b6bc2
151cd81875dc62c
hexdb8201e71636

241351424153142 has 32 divisors (see below), whose sum is σ = 490678379407104. Its totient is φ = 79121554855200.

The previous prime is 241351424153101. The next prime is 241351424153249.

241351424153142 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2413514241531423 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241351424153094 and 241351424153103.

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, 39031834 + ... + 44790477.

It is an arithmetic number, because the mean of its divisors is an integer number (15333699356472).

Almost surely, 2241351424153142 is an apocalyptic number.

241351424153142 is an abundant number, since it is smaller than the sum of its proper divisors (249326955253962).

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

241351424153142 is a wasteful number, since it uses less digits than its factorization.

241351424153142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83830244.

The product of its digits is 460800, while the sum is 42.

The spelling of 241351424153142 in words is "two hundred forty-one trillion, three hundred fifty-one billion, four hundred twenty-four million, one hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 61 122 183 366 7867 15734 23601 47202 479887 959774 1439661 2879322 83822311 167644622 251466933 502933866 5113160971 10226321942 15339482913 30678965826 659430120637 1318860241274 1978290361911 3956580723822 40225237358857 80450474717714 120675712076571 241351424153142