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23913192018144 = 25311134340509961
BaseRepresentation
bin1010110111111101110010…
…10100001101000011100000
310010200002010110121211011210
411123332321110031003200
511113243204124040034
6122505322503510120
75015446122245562
oct533767124150340
9103602113554153
1023913192018144
11768a58952a040
122822653758340
131046009692920
145c95945ab332
152b7084d378e9
hex15bfb950d0e0

23913192018144 has 192 divisors, whose sum is σ = 75461309054208. Its totient is φ = 6533446348800.

The previous prime is 23913192018109. The next prime is 23913192018151. The reversal of 23913192018144 is 44181029131932.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 23913192018093 and 23913192018102.

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 31 ways as a sum of consecutive naturals, for example, 19664677 + ... + 20845284.

It is an arithmetic number, because the mean of its divisors is an integer number (393027651324).

Almost surely, 223913192018144 is an apocalyptic number.

23913192018144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23913192018144 is an abundant number, since it is smaller than the sum of its proper divisors (51548117036064).

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

23913192018144 is a wasteful number, since it uses less digits than its factorization.

23913192018144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40510041 (or 40510033 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 23913192018144 in words is "twenty-three trillion, nine hundred thirteen billion, one hundred ninety-two million, eighteen thousand, one hundred forty-four".