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24210140124340 = 22511098429129497
BaseRepresentation
bin1011000000100110111001…
…10011010101010010110100
310011201110121021212120200001
411200103130303111102310
511133124331332434330
6123253552420201044
75046060561432532
oct540233463252264
9104643537776601
1024210140124340
11779450aa41355
122870106b39184
13106801113a8c1
145d9ac4279152
152beb646019ca
hex1604dccd54b4

24210140124340 has 48 divisors (see below), whose sum is σ = 50893568686800. Its totient is φ = 9674101240832.

The previous prime is 24210140124311. The next prime is 24210140124343. The reversal of 24210140124340 is 4342104101242.

It can be written as a sum of positive squares in 8 ways, for example, as 13705825771044 + 10504314353296 = 3702138^2 + 3241036^2 .

It is a super-2 number, since 2×242101401243402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24210140124299 and 24210140124308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24210140124343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186890472 + ... + 187019968.

It is an arithmetic number, because the mean of its divisors is an integer number (1060282680975).

Almost surely, 224210140124340 is an apocalyptic number.

24210140124340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24210140124340 is an abundant number, since it is smaller than the sum of its proper divisors (26683428562460).

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

24210140124340 is a wasteful number, since it uses less digits than its factorization.

24210140124340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139044 (or 139042 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 24210140124340 its reverse (4342104101242), we get a palindrome (28552244225582).

The spelling of 24210140124340 in words is "twenty-four trillion, two hundred ten billion, one hundred forty million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1109 2218 4436 5545 8429 11090 16858 22180 33716 42145 84290 129497 168580 258994 517988 647485 1294970 2589940 9347761 18695522 37391044 46738805 93477610 143612173 186955220 287224346 574448692 718060865 1091530213 1436121730 2183060426 2872243460 4366120852 5457651065 10915302130 21830604260 1210507006217 2421014012434 4842028024868 6052535031085 12105070062170 24210140124340