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241342243142 = 271113823146477
BaseRepresentation
bin1110000011000100011…
…1100110000101000110
3212001221120000020102212
43200301013212011012
512423232103240032
6302512053503422
723302454135060
oct3406107460506
9761846006385
10241342243142
119339744a3a0
123a935041b72
13199b24aa240
14b976a48730
156427be2bb2
hex38311e6146

241342243142 has 64 divisors (see below), whose sum is σ = 486653819904. Its totient is φ = 86690355840.

The previous prime is 241342243141. The next prime is 241342243147.

It is a happy number.

241342243142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 241342243099 and 241342243108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241342243141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1574408 + ... + 1720884.

It is an arithmetic number, because the mean of its divisors is an integer number (7603965936).

Almost surely, 2241342243142 is an apocalyptic number.

241342243142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241342243142 is an abundant number, since it is smaller than the sum of its proper divisors (245311576762).

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

241342243142 is a wasteful number, since it uses less digits than its factorization.

241342243142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147333.

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 241342 and 243142, that added together give a palindrome (484484).

The spelling of 241342243142 in words is "two hundred forty-one billion, three hundred forty-two million, two hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 823 1001 1646 2002 5761 9053 10699 11522 18106 21398 63371 74893 117689 126742 146477 149786 235378 292954 823823 1025339 1611247 1647646 1904201 2050678 3222494 3808402 11278729 13329407 20946211 22557458 26658814 41892422 120550571 146623477 241101142 293246954 843853997 1326056281 1567157423 1687707994 2652112562 3134314846 9282393967 10970101961 17238731653 18564787934 21940203922 34477463306 120671121571 241342243142