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23144312010042 = 2323493684226681
BaseRepresentation
bin1010100001100101101000…
…11111101111010100111010
310000221120111220020110121200
411100302310133233110322
511013144022333310132
6121120203344515030
74606056425102106
oct520626437572472
9100846456213550
1023144312010042
1174134a1838913
12271963331ba76
13cbb664b3b852
145a0295314906
152a2083b53d7c
hex150cb47ef53a

23144312010042 has 24 divisors (see below), whose sum is σ = 50289694209300. Its totient is φ = 7692665307840.

The previous prime is 23144312010019. The next prime is 23144312010119. The reversal of 23144312010042 is 24001021344132.

23144312010042 is a `hidden beast` number, since 23 + 1 + 4 + 431 + 201 + 0 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22974756653601 + 169555356441 = 4793199^2 + 411771^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23144312009988 and 23144312010015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1842107059 + ... + 1842119622.

Almost surely, 223144312010042 is an apocalyptic number.

23144312010042 is an abundant number, since it is smaller than the sum of its proper divisors (27145382199258).

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

23144312010042 is a wasteful number, since it uses less digits than its factorization.

23144312010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684227038 (or 3684227035 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 23144312010042 its reverse (24001021344132), we get a palindrome (47145333354174).

The spelling of 23144312010042 in words is "twenty-three trillion, one hundred forty-four billion, three hundred twelve million, ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 349 698 1047 2094 3141 6282 3684226681 7368453362 11052680043 22105360086 33158040129 66316080258 1285795111669 2571590223338 3857385335007 7714770670014 11572156005021 23144312010042