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23023440142144 = 261327672404017
BaseRepresentation
bin1010011110000100011111…
…11110001001111101000000
310000112000112010111101012121
411033002033332021331000
511004204001134022034
6120544453345134024
74564250211136561
oct517021776117500
9100460463441177
1023023440142144
117377205816512
1226ba11b62a314
13cb014112a820
145984aa296168
1529dd5c37c1b4
hex14f08ff89f40

23023440142144 has 28 divisors (see below), whose sum is σ = 49201534344004. Its totient is φ = 10626203142144.

The previous prime is 23023440142111. The next prime is 23023440142147. The reversal of 23023440142144 is 44124104432032.

It can be written as a sum of positive squares in 2 ways, for example, as 14242411783744 + 8781028358400 = 3773912^2 + 2963280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023440142147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13836201177 + ... + 13836202840.

It is an arithmetic number, because the mean of its divisors is an integer number (1757197655143).

Almost surely, 223023440142144 is an apocalyptic number.

It is an amenable number.

23023440142144 is an abundant number, since it is smaller than the sum of its proper divisors (26178094201860).

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

23023440142144 is a wasteful number, since it uses less digits than its factorization.

23023440142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27672404042 (or 27672404032 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 23023440142144 its reverse (44124104432032), we get a palindrome (67147544574176).

The spelling of 23023440142144 in words is "twenty-three trillion, twenty-three billion, four hundred forty million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 27672404017 55344808034 110689616068 221379232136 359741252221 442758464272 719482504442 885516928544 1438965008884 1771033857088 2877930017768 5755860035536 11511720071072 23023440142144