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24142413105 = 3252323326003
BaseRepresentation
bin10110011110111111…
…111111110100110001
32022022112012122202100
4112132333333310301
5343420424204410
615031343411013
71513162061016
oct263677776461
968275178670
1024142413105
11a269843328
1248192b3a69
13237996cb55
14125050b70d
159647728c0
hex59efffd31

24142413105 has 24 divisors (see below), whose sum is σ = 43666279488. Its totient is φ = 12316129056.

The previous prime is 24142413083. The next prime is 24142413109. The reversal of 24142413105 is 50131424142.

24142413105 is a `hidden beast` number, since 2 + 4 + 142 + 413 + 105 = 666.

It is not a de Polignac number, because 24142413105 - 210 = 24142412081 is a prime.

It is a super-2 number, since 2×241424131052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24142413109) 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, 11661967 + ... + 11664036.

It is an arithmetic number, because the mean of its divisors is an integer number (1819428312).

Almost surely, 224142413105 is an apocalyptic number.

It is an amenable number.

24142413105 is a deficient number, since it is larger than the sum of its proper divisors (19523866383).

24142413105 is a wasteful number, since it uses less digits than its factorization.

24142413105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23326037 (or 23326034 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 24142413105 its reverse (50131424142), we get a palindrome (74273837247).

The spelling of 24142413105 in words is "twenty-four billion, one hundred forty-two million, four hundred thirteen thousand, one hundred five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 23326003 69978009 116630015 209934027 349890045 536498069 1049670135 1609494207 2682490345 4828482621 8047471035 24142413105