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241124101041042 = 23250815167510247
BaseRepresentation
bin110110110100110100010100…
…011000111010101110010010
31011121202020110011222120120100
4312310310110120322232102
5223101034124331303132
62212454514404153230
7101534433001515552
oct6664642430725622
91147666404876510
10241124101041042
116a91417aa4424a
1223063571698816
13a470b9c84752b
14437867c3c5162
151cd22d055b37c
hexdb4d1463ab92

241124101041042 has 48 divisors (see below), whose sum is σ = 522640527881472. Its totient is φ = 80343171881280.

The previous prime is 241124101040959. The next prime is 241124101041053. The reversal of 241124101041042 is 240140101421142.

241124101041042 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 241 + 0 + 1 + 0 + 410 + 4 + 2 = 666.

241124101041042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241124101040997 and 241124101041015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472308363 + ... + 472818609.

It is an arithmetic number, because the mean of its divisors is an integer number (10888344330864).

Almost surely, 2241124101041042 is an apocalyptic number.

241124101041042 is an abundant number, since it is smaller than the sum of its proper divisors (281516426840430).

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

241124101041042 is a wasteful number, since it uses less digits than its factorization.

241124101041042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520503 (or 520500 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 241124101041042 its reverse (240140101421142), we get a palindrome (481264202462184).

The spelling of 241124101041042 in words is "two hundred forty-one trillion, one hundred twenty-four billion, one hundred one million, forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 5081 5167 10162 10334 15243 15501 30486 31002 45729 46503 91458 93006 510247 1020494 1530741 3061482 4592223 9184446 26253527 52507054 78760581 157521162 236281743 472563486 2592565007 2636446249 5185130014 5272892498 7777695021 7909338747 15555390042 15818677494 23333085063 23728016241 46666170126 47456032482 13395783391169 26791566782338 40187350173507 80374700347014 120562050520521 241124101041042