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2140320230412 = 2237132616313917
BaseRepresentation
bin11111001001010101000…
…001101110110000001100
321120121112121010010020220
4133021111001232300030
5240031333434333122
64315125522311340
7310430062532520
oct37112501566014
97517477103226
102140320230412
11755782a76861
122a6984ab8550
13126aa6588400
1475840839d80
153aa1bda725c
hex1f25506ec0c

2140320230412 has 288 divisors, whose sum is σ = 6293211208704. Its totient is φ = 554204851200.

The previous prime is 2140320230393. The next prime is 2140320230467.

It is a happy number.

2140320230412 is nontrivially palindromic in base 10.

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, 546416278 + ... + 546420194.

It is an arithmetic number, because the mean of its divisors is an integer number (21851427808).

Almost surely, 22140320230412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140320230412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146605604352).

2140320230412 is an abundant number, since it is smaller than the sum of its proper divisors (4152890978292).

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

2140320230412 is a wasteful number, since it uses less digits than its factorization.

2140320230412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2140320 and 230412, that added together give a palindrome (2370732).

The spelling of 2140320230412 in words is "two trillion, one hundred forty billion, three hundred twenty million, two hundred thirty thousand, four hundred twelve".