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2140243320320 = 29571953118603
BaseRepresentation
bin11111001001010000011…
…100010101111000000000
321120121100020101200102222
4133021100130111320000
5240031204242222240
64315114134030212
7310425140026040
oct37112034257000
97517306350388
102140243320320
117557436160a6
122a69631a8368
13126a9366a591
1475834539720
153aa15263eb5
hex1f250715e00

2140243320320 has 320 divisors, whose sum is σ = 6289845281280. Its totient is φ = 682054483968.

The previous prime is 2140243320277. The next prime is 2140243320337. The reversal of 2140243320320 is 230233420412.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 2140243320320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17986139 + ... + 18104741.

It is an arithmetic number, because the mean of its divisors is an integer number (19655766504).

Almost surely, 22140243320320 is an apocalyptic number.

2140243320320 is a gapful number since it is divisible by the number (20) 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 2140243320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144922640640).

2140243320320 is an abundant number, since it is smaller than the sum of its proper divisors (4149601960960).

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

2140243320320 is a wasteful number, since it uses less digits than its factorization.

2140243320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118705 (or 118689 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 2140243320320 its reverse (230233420412), we get a palindrome (2370476740732).

The spelling of 2140243320320 in words is "two trillion, one hundred forty billion, two hundred forty-three million, three hundred twenty thousand, three hundred twenty".