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24142122124142 = 2112937840316809
BaseRepresentation
bin1010111110101000001101…
…00111010000001101101110
310011110222001000000011101112
411133110012213100031232
511131021031230433032
6123202423210312022
75041132202115131
oct537240647201556
9104428030004345
1024142122124142
117768686612050
12285aaa3a28612
1310617915074c9
145d66b0994218
152bced2eea1b2
hex15f5069d036e

24142122124142 has 16 divisors (see below), whose sum is σ = 40867542154800. Its totient is φ = 10595288706240.

The previous prime is 24142122124067. The next prime is 24142122124259.

24142122124142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24142122124099 and 24142122124108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18920157767 + ... + 18920159042.

It is an arithmetic number, because the mean of its divisors is an integer number (2554221384675).

Almost surely, 224142122124142 is an apocalyptic number.

24142122124142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24142122124142 is a deficient number, since it is larger than the sum of its proper divisors (16725420030658).

24142122124142 is a wasteful number, since it uses less digits than its factorization.

24142122124142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37840316851.

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 2414212 and 2124142, that added together give a palindrome (4538354).

The spelling of 24142122124142 in words is "twenty-four trillion, one hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 11 22 29 58 319 638 37840316809 75680633618 416243484899 832486969798 1097369187461 2194738374922 12071061062071 24142122124142