Search a number
-
+
1344159919872 = 2836711891051
BaseRepresentation
bin10011100011110110001…
…011001010111100000000
311202111111211000211000000
4103203312023022330000
5134010314414413442
62505255404000000
7166053351542430
oct23436613127400
94674454024000
101344159919872
11479067261640
12198610530000
13999a4c61543
14490b44182c0
1524e70c20d4c
hex138f62caf00

1344159919872 has 1008 divisors, whose sum is σ = 5076571933440. Its totient is φ = 344881152000.

The previous prime is 1344159919867. The next prime is 1344159919897. The reversal of 1344159919872 is 2789199514431.

1344159919872 is a `hidden beast` number, since 1 + 34 + 4 + 1 + 599 + 1 + 9 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 1278933747 + ... + 1278934797.

It is an arithmetic number, because the mean of its divisors is an integer number (5036281680).

Almost surely, 21344159919872 is an apocalyptic number.

1344159919872 is a gapful number since it is divisible by the number (12) 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 1344159919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538285966720).

1344159919872 is an abundant number, since it is smaller than the sum of its proper divisors (3732412013568).

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

1344159919872 is an equidigital number, since it uses as much as digits as its factorization.

1344159919872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1163 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 1344159919872 in words is "one trillion, three hundred forty-four billion, one hundred fifty-nine million, nine hundred nineteen thousand, eight hundred seventy-two".