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24234314412 = 223711237116061
BaseRepresentation
bin10110100100011110…
…100100101010101100
32022112221010201122110
4112210132210222230
5344112441030122
615044425244020
71515356162610
oct264436445254
968487121573
1024234314412
11a306703120
124844033610
132392a09319
14125c7d1340
1596c87790c
hex5a47a4aac

24234314412 has 192 divisors, whose sum is σ = 74605805568. Its totient is φ = 5935776000.

The previous prime is 24234314411. The next prime is 24234314441. The reversal of 24234314412 is 21441343242.

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

It is a self number, because there is not a number n which added to its sum of digits gives 24234314412.

It is not an unprimeable number, because it can be changed into a prime (24234314411) 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 63 ways as a sum of consecutive naturals, for example, 1500862 + ... + 1516922.

It is an arithmetic number, because the mean of its divisors is an integer number (388571904).

Almost surely, 224234314412 is an apocalyptic number.

24234314412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24234314412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37302902784).

24234314412 is an abundant number, since it is smaller than the sum of its proper divisors (50371491156).

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

24234314412 is a wasteful number, since it uses less digits than its factorization.

24234314412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16180 (or 16178 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 24234314412 its reverse (21441343242), we get a palindrome (45675657654).

The spelling of 24234314412 in words is "twenty-four billion, two hundred thirty-four million, three hundred fourteen thousand, four hundred twelve".