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24142413132 = 22321634114249
BaseRepresentation
bin10110011110111111…
…111111110101001100
32022022112012122210100
4112132333333311030
5343420424210012
615031343411100
71513162061055
oct263677776514
968275178710
1024142413132
11a269843352
1248192b3a90
13237996cb76
14125050b72c
159647728dc
hex59efffd4c

24142413132 has 36 divisors (see below), whose sum is σ = 61401067000. Its totient is φ = 7998098112.

The previous prime is 24142413109. The next prime is 24142413149. The reversal of 24142413132 is 23131424142.

24142413132 is a `hidden beast` number, since 2 + 414 + 241 + 3 + 1 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×241424131322 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 24142413096 and 24142413105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2051257 + ... + 2062992.

Almost surely, 224142413132 is an apocalyptic number.

It is an amenable number.

24142413132 is an abundant number, since it is smaller than the sum of its proper divisors (37258653868).

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

24142413132 is a wasteful number, since it uses less digits than its factorization.

24142413132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114422 (or 4114417 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 24142413132 its reverse (23131424142), we get a palindrome (47273837274).

The spelling of 24142413132 in words is "twenty-four billion, one hundred forty-two million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 978 1467 1956 2934 5868 4114249 8228498 12342747 16456996 24685494 37028241 49370988 74056482 148112964 670622587 1341245174 2011867761 2682490348 4023735522 6035603283 8047471044 12071206566 24142413132