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24140355304142 = 27113591507728961
BaseRepresentation
bin1010111110100100111010…
…10011010111101011001110
310011110210110212102101222202
411133102131103113223032
511131003421424213032
6123201532013241502
75041040336312330
oct537223523275316
9104423425371882
1024140355304142
11776795a260030
12285a690193292
13106156c46399c
145d6584077450
152bce2cd47d62
hex15f49d4d7ace

24140355304142 has 64 divisors (see below), whose sum is σ = 45275919252480. Its totient is φ = 9378188620800.

The previous prime is 24140355304141. The next prime is 24140355304147.

24140355304142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24140355304096 and 24140355304105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24140355304141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833532542 + ... + 833561502.

It is an arithmetic number, because the mean of its divisors is an integer number (707436238320).

Almost surely, 224140355304142 is an apocalyptic number.

24140355304142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24140355304142 is a deficient number, since it is larger than the sum of its proper divisors (21135563948338).

24140355304142 is a wasteful number, since it uses less digits than its factorization.

24140355304142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44417.

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 2414035 and 5304142, that added together give a palindrome (7718177).

The spelling of 24140355304142 in words is "twenty-four trillion, one hundred forty billion, three hundred fifty-five million, three hundred four thousand, one hundred forty-two".

Divisors: 1 2 7 11 14 22 77 154 359 718 2513 3949 5026 7898 15077 27643 28961 30154 55286 57922 105539 165847 202727 211078 318571 331694 405454 637142 1160929 2229997 2321858 4459994 5412643 10396999 10825286 20793998 37888501 59539073 72778993 75777002 114366989 119078146 145557986 228733978 416773511 436644997 800568923 833547022 873289994 1601137846 3056514979 4803094967 6113029958 9606189934 33621664769 67243329538 156755553923 313511107846 1097288877461 1724311093153 2194577754922 3448622186306 12070177652071 24140355304142