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241010242010142 = 231122314433479579
BaseRepresentation
bin110110110011001010010001…
…110111001011110000011110
31011121100100120011010111222220
4312303022101313023300132
5223042202433423311032
62212330324322050210
7101523262320646263
oct6663122167136036
91147310504114886
10241010242010142
116a87a962544100
12230454964a9966
13a4632259b53b7
144372d5a8a526a
151cce36978712c
hexdb3291dcbc1e

241010242010142 has 48 divisors (see below), whose sum is σ = 552860001832320. Its totient is φ = 69858041157520.

The previous prime is 241010242010117. The next prime is 241010242010147.

It is a happy number.

241010242010142 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241010242010147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7216723092 + ... + 7216756487.

It is an arithmetic number, because the mean of its divisors is an integer number (11517916704840).

Almost surely, 2241010242010142 is an apocalyptic number.

241010242010142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241010242010142 is an abundant number, since it is smaller than the sum of its proper divisors (311849759822178).

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

241010242010142 is a wasteful number, since it uses less digits than its factorization.

241010242010142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14433479629 (or 14433479618 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 241010242010142 in words is "two hundred forty-one trillion, ten billion, two hundred forty-two million, ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1518 2783 5566 8349 16698 14433479579 28866959158 43300438737 86600877474 158768275369 317536550738 331970030317 476304826107 663940060634 952609652214 995910090951 1746451029059 1991820181902 3492902058118 3651670333487 5239353087177 7303340666974 10478706174354 10955011000461 21910022000922 40168373668357 80336747336714 120505121005071 241010242010142