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23343432230144 = 28137014252473
BaseRepresentation
bin1010100111011000100001…
…11111000110010100000000
310001122121110221001200222102
411103230100333012110000
511024424322122331034
6121351454050125532
74626336004044125
oct523542077062400
9101577427050872
1023343432230144
11748a991a28394
1227501442808a8
131004378ac39b0
145a9b8462074c
152a7339c4297e
hex153b10fc6500

23343432230144 has 36 divisors (see below), whose sum is σ = 50179962198996. Its totient is φ = 10773891796992.

The previous prime is 23343432230143. The next prime is 23343432230147. The reversal of 23343432230144 is 44103223434332.

It can be written as a sum of positive squares in 2 ways, for example, as 1721973817600 + 21621458412544 = 1312240^2 + 4649888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23343432230098 and 23343432230107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23343432230141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3507122909 + ... + 3507129564.

It is an arithmetic number, because the mean of its divisors is an integer number (1393887838861).

Almost surely, 223343432230144 is an apocalyptic number.

It is an amenable number.

23343432230144 is an abundant number, since it is smaller than the sum of its proper divisors (26836529968852).

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

23343432230144 is an equidigital number, since it uses as much as digits as its factorization.

23343432230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014252502 (or 7014252488 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 23343432230144 its reverse (44103223434332), we get a palindrome (67446655664476).

The spelling of 23343432230144 in words is "twenty-three trillion, three hundred forty-three billion, four hundred thirty-two million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 7014252473 14028504946 28057009892 56114019784 91185282149 112228039568 182370564298 224456079136 364741128596 448912158272 729482257192 897824316544 1458964514384 1795648633088 2917929028768 5835858057536 11671716115072 23343432230144