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1344401203201 = 72150611821709
BaseRepresentation
bin10011100100000100100…
…011100110000000000001
311202112010122001021111121
4103210010203212000001
5134011313202000301
62505335343312241
7166062341451400
oct23440443460001
94675118037447
101344401203201
11479180481351
121986792ab681
1399a12c41544
14490d84a5637
1524e86ed23a1
hex139048e6001

1344401203201 has 12 divisors (see below), whose sum is σ = 1563999973140. Its totient is φ = 1152266744160.

The previous prime is 1344401203153. The next prime is 1344401203241. The reversal of 1344401203201 is 1023021044431.

It can be written as a sum of positive squares in 2 ways, for example, as 982477440000 + 361923763201 = 991200^2 + 601601^2 .

It is not a de Polignac number, because 1344401203201 - 29 = 1344401202689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1344401203241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172866 + ... + 1648843.

It is an arithmetic number, because the mean of its divisors is an integer number (130333331095).

Almost surely, 21344401203201 is an apocalyptic number.

It is an amenable number.

1344401203201 is a deficient number, since it is larger than the sum of its proper divisors (219598769939).

1344401203201 is a wasteful number, since it uses less digits than its factorization.

1344401203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836784 (or 1836777 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1344401203201 its reverse (1023021044431), we get a palindrome (2367422247632).

The spelling of 1344401203201 in words is "one trillion, three hundred forty-four billion, four hundred one million, two hundred three thousand, two hundred one".

Divisors: 1 7 49 15061 105427 737989 1821709 12751963 89263741 27436759249 192057314743 1344401203201