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2323314021042 = 2337219311490743
BaseRepresentation
bin100001110011110000010…
…011101001001010110010
322020002212202012212012000
4201303300103221022302
5301031121342133132
64535152110314430
7326565613224300
oct41636023511262
98202782185160
102323314021042
11816348218173
123163351b8a16
1313b11a51bab1
14806400a3270
154067c32987c
hex21cf04e92b2

2323314021042 has 192 divisors, whose sum is σ = 6525880934400. Its totient is φ = 608580514080.

The previous prime is 2323314021031. The next prime is 2323314021053. The reversal of 2323314021042 is 2401204133232.

2323314021042 is a `hidden beast` number, since 2 + 323 + 314 + 0 + 21 + 0 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2323314021031) and next prime (2323314021053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2323314020997 and 2323314021015.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 813123 + ... + 2303865.

It is an arithmetic number, because the mean of its divisors is an integer number (33988963200).

Almost surely, 22323314021042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323314021042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262940467200).

2323314021042 is an abundant number, since it is smaller than the sum of its proper divisors (4202566913358).

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

2323314021042 is a wasteful number, since it uses less digits than its factorization.

2323314021042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490818 (or 1490805 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2323314021042 its reverse (2401204133232), we get a palindrome (4724518154274).

The spelling of 2323314021042 in words is "two trillion, three hundred twenty-three billion, three hundred fourteen million, twenty-one thousand, forty-two".