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24113132142 = 23111919797609
BaseRepresentation
bin10110011101010000…
…010011001001101110
32022020111010000211020
4112131100103021232
5343340430212032
615024420035010
71512355145541
oct263520231156
968214100736
1024113132142
11a254264090
12480b532a66
13237388a238
14124a688858
15961ddbb2c
hex59d41326e

24113132142 has 64 divisors (see below), whose sum is σ = 55661126400. Its totient is φ = 6887220480.

The previous prime is 24113132111. The next prime is 24113132143. The reversal of 24113132142 is 24123131142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24113132143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198234 + ... + 295842.

It is an arithmetic number, because the mean of its divisors is an integer number (869705100).

Almost surely, 224113132142 is an apocalyptic number.

24113132142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24113132142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27830563200).

24113132142 is an abundant number, since it is smaller than the sum of its proper divisors (31547994258).

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

24113132142 is a wasteful number, since it uses less digits than its factorization.

24113132142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97841.

The product of its digits is 1152, while the sum is 24.

Adding to 24113132142 its reverse (24123131142), we get a palindrome (48236263284).

The spelling of 24113132142 in words is "twenty-four billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 197 209 394 418 591 627 1182 1254 2167 3743 4334 6501 7486 11229 13002 22458 41173 82346 97609 123519 195218 247038 292827 585654 1073699 1854571 2147398 3221097 3709142 5563713 6442194 11127426 19228973 20400281 38457946 40800562 57686919 61200843 115373838 122401686 211518703 365350487 423037406 634556109 730700974 1096051461 1269112218 2192102922 4018855357 8037710714 12056566071 24113132142