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1344320340000 = 25354114574457
BaseRepresentation
bin10011100011111111101…
…111001000000000100000
311202111220222220000001020
4103203333233020000200
5134011132001340000
62505323334205440
7166060340231541
oct23437757100040
94674828800036
101344320340000
11479139870660
121986561b3880
13999cc26b2b1
14490cb8564c8
1524e7ed5cba0
hex138ffbc8020

1344320340000 has 480 divisors, whose sum is σ = 4822123876416. Its totient is φ = 325109760000.

The previous prime is 1344320339953. The next prime is 1344320340023. The reversal of 1344320340000 is 430234431.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 79 ways as a sum of consecutive naturals, for example, 301617772 + ... + 301622228.

Almost surely, 21344320340000 is an apocalyptic number.

1344320340000 is a gapful number since it is divisible by the number (10) 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 1344320340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411061938208).

1344320340000 is an abundant number, since it is smaller than the sum of its proper divisors (3477803536416).

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

1344320340000 is a wasteful number, since it uses less digits than its factorization.

1344320340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1344320340000 its reverse (430234431), we get a palindrome (1344750574431).

The spelling of 1344320340000 in words is "one trillion, three hundred forty-four billion, three hundred twenty million, three hundred forty thousand".