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24307205142 = 23114171126517
BaseRepresentation
bin10110101000110100…
…101000010000010110
32022202000021221221010
4112220310220100112
5344240121031032
615055551433050
71520232556203
oct265064502026
968660257833
1024307205142
11a343868aa0
124864525786
1323a4b4a82c
141268366caa
15973e74ccc
hex5a8d28416

24307205142 has 64 divisors (see below), whose sum is σ = 55093022208. Its totient is φ = 7084896000.

The previous prime is 24307205129. The next prime is 24307205171. The reversal of 24307205142 is 24150270342.

24307205142 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128868 + ... + 255384.

It is an arithmetic number, because the mean of its divisors is an integer number (860828472).

Almost surely, 224307205142 is an apocalyptic number.

24307205142 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 24307205142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27546511104).

24307205142 is an abundant number, since it is smaller than the sum of its proper divisors (30785817066).

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

24307205142 is a wasteful number, since it uses less digits than its factorization.

24307205142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126645.

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 24307205142 its reverse (24150270342), we get a palindrome (48457475484).

The spelling of 24307205142 in words is "twenty-four billion, three hundred seven million, two hundred five thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 71 82 123 142 213 246 426 451 781 902 1353 1562 2343 2706 2911 4686 5822 8733 17466 32021 64042 96063 126517 192126 253034 379551 759102 1391687 2783374 4175061 5187197 8350122 8982707 10374394 15561591 17965414 26948121 31123182 53896242 57059167 98809777 114118334 171177501 197619554 296429331 342355002 368290987 592858662 736581974 1104872961 2209745922 4051200857 8102401714 12153602571 24307205142