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12240143106642 = 23211105158819129
BaseRepresentation
bin1011001000011110000101…
…1000011100001001010010
31121100010221121200220012100
42302013201120130021102
53101020303113403032
642011013310141230
72402215104516603
oct262074130341122
947303847626170
1012240143106642
11399a0197581a0
12145827b1b1816
136aa3186186a9
143045d727ddaa
151635da6e897c
hexb21e161c252

12240143106642 has 48 divisors (see below), whose sum is σ = 28958775187680. Its totient is φ = 3705605064000.

The previous prime is 12240143106637. The next prime is 12240143106647. The reversal of 12240143106642 is 24660134104221.

12240143106642 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 0 + 1 + 4 + 3 + 1 + 0 + 6 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (12240143106637) and next prime (12240143106647).

It is a super-2 number, since 2×122401431066422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12240143106597 and 12240143106606.

It is not an unprimeable number, because it can be changed into a prime (12240143106647) 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, 29201467 + ... + 29617662.

It is an arithmetic number, because the mean of its divisors is an integer number (603307816410).

Almost surely, 212240143106642 is an apocalyptic number.

12240143106642 is an abundant number, since it is smaller than the sum of its proper divisors (16718632081038).

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

12240143106642 is a wasteful number, since it uses less digits than its factorization.

12240143106642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58820199 (or 58820196 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12240143106642 in words is "twelve trillion, two hundred forty billion, one hundred forty-three million, one hundred six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1051 2102 3153 6306 9459 11561 18918 23122 34683 69366 104049 208098 58819129 117638258 176457387 352914774 529372161 647010419 1058744322 1294020838 1941031257 3882062514 5823093771 11646187542 61818904579 123637809158 185456713737 370913427474 556370141211 680007950369 1112740282422 1360015900738 2040023851107 4080047702214 6120071553321 12240143106642