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24132142023 = 31110310636679
BaseRepresentation
bin10110011110011000…
…110100001111000111
32022021210212211110220
4112132120310033013
5343410312021043
615030335315423
71513005552123
oct263630641707
968253784426
1024132142023
11a263a68530
12481597bb73
1323777b4aa2
14124cdd6583
159638e4483
hex59e6343c7

24132142023 has 32 divisors (see below), whose sum is σ = 35480739840. Its totient is φ = 14467753440.

The previous prime is 24132141977. The next prime is 24132142033. The reversal of 24132142023 is 32024123142.

It is a happy number.

It is not a de Polignac number, because 24132142023 - 234 = 6952272839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 24132141984 and 24132142002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24132142033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3609798 + ... + 3616476.

It is an arithmetic number, because the mean of its divisors is an integer number (1108773120).

Almost surely, 224132142023 is an apocalyptic number.

24132142023 is a deficient number, since it is larger than the sum of its proper divisors (11348597817).

24132142023 is a wasteful number, since it uses less digits than its factorization.

24132142023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 24132142023 its reverse (32024123142), we get a palindrome (56156265165).

The spelling of 24132142023 in words is "twenty-four billion, one hundred thirty-two million, one hundred forty-two thousand, twenty-three".

Divisors: 1 3 11 33 103 309 1063 1133 3189 3399 6679 11693 20037 35079 73469 109489 220407 328467 687937 1204379 2063811 3613137 7099777 7567307 21299331 22701921 78097547 234292641 731277031 2193831093 8044047341 24132142023