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241042343240142 = 232179373942314729
BaseRepresentation
bin110110110011101000001011…
…001111101010000111001110
31011121110102102100020222001100
4312303220023033222013032
5223043214204332141032
62212353153534523530
7101525506653624153
oct6663501317520716
91147412370228040
10241042343240142
116a892535886354
122304b7550665a6
13a4662704a9152
144374723dda22a
151cd00e7abc97c
hexdb3a0b3ea1ce

241042343240142 has 96 divisors (see below), whose sum is σ = 525551783328000. Its totient is φ = 79841444376960.

The previous prime is 241042343240089. The next prime is 241042343240143.

241042343240142 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 42 + 3 + 432 + 40 + 142 = 666.

241042343240142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2410423432401422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241042343240097 and 241042343240106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241042343240143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50971100034 + ... + 50971104762.

It is an arithmetic number, because the mean of its divisors is an integer number (5474497743000).

Almost surely, 2241042343240142 is an apocalyptic number.

241042343240142 is an abundant number, since it is smaller than the sum of its proper divisors (284509440087858).

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

241042343240142 is a wasteful number, since it uses less digits than its factorization.

241042343240142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12886 (or 12883 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 241042343240142 in words is "two hundred forty-one trillion, forty-two billion, three hundred forty-three million, two hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 179 358 537 1074 1611 3222 3739 4231 4729 7478 8462 9458 11217 12693 14187 22434 25386 28374 33651 38079 42561 67302 76158 85122 669281 757349 846491 1338562 1514698 1692982 2007843 2272047 2539473 4015686 4544094 5078946 6023529 6816141 7618419 12047058 13632282 15236838 15819709 17681731 20008399 31639418 35363462 40016798 47459127 53045193 60025197 94918254 106090386 120050394 142377381 159135579 180075591 284754762 318271158 360151182 2831727911 3165029849 3581503421 5663455822 6330059698 7163006842 8495183733 9495089547 10744510263 16990367466 18990179094 21489020526 25485551199 28485268641 32233530789 50971102398 56970537282 64467061578 74811403861 149622807722 224434211583 448868423166 673302634749 1346605269498 13391241291119 26782482582238 40173723873357 80347447746714 120521171620071 241042343240142