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23312143202304 = 21131117294571531
BaseRepresentation
bin1010100110011110010000…
…00000111011100000000000
310001112121201100020101211110
411103033020000323200000
511023421232124433204
6121325241205443320
74624150432513455
oct523171000734000
9101477640211743
1023312143202304
1174786961006a0
122746071710540
131001430665b38
145a8456d0d82c
152a6607d94889
hex1533c803b800

23312143202304 has 768 divisors, whose sum is σ = 74475451814400. Its totient is φ = 6401241907200.

The previous prime is 23312143202281. The next prime is 23312143202311. The reversal of 23312143202304 is 40320234121332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15226742019 + ... + 15226743549.

It is an arithmetic number, because the mean of its divisors is an integer number (96973244550).

Almost surely, 223312143202304 is an apocalyptic number.

23312143202304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23312143202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37237725907200).

23312143202304 is an abundant number, since it is smaller than the sum of its proper divisors (51163308612096).

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

23312143202304 is a wasteful number, since it uses less digits than its factorization.

23312143202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 23312143202304 its reverse (40320234121332), we get a palindrome (63632377323636).

The spelling of 23312143202304 in words is "twenty-three trillion, three hundred twelve billion, one hundred forty-three million, two hundred two thousand, three hundred four".