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1344007700129 is a prime number
BaseRepresentation
bin10011100011101101000…
…110011111111010100001
311202111010012121020202202
4103203231012133322201
5134010011432401004
62505232325222545
7166046522646203
oct23435506377241
94674105536682
101344007700129
11478a993436a6
12198589561a55
139997c5661a3
144909c112773
1524e626a3b1e
hex138ed19fea1

1344007700129 has 2 divisors, whose sum is σ = 1344007700130. Its totient is φ = 1344007700128.

The previous prime is 1344007700083. The next prime is 1344007700149. The reversal of 1344007700129 is 9210077004431.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 943511109025 + 400496591104 = 971345^2 + 632848^2 .

It is a cyclic number.

It is not a de Polignac number, because 1344007700129 - 224 = 1343990922913 is a prime.

It is a super-3 number, since 3×13440077001293 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1344007700092 and 1344007700101.

It is not a weakly prime, because it can be changed into another prime (1344007700149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 672003850064 + 672003850065.

It is an arithmetic number, because the mean of its divisors is an integer number (672003850065).

Almost surely, 21344007700129 is an apocalyptic number.

It is an amenable number.

1344007700129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1344007700129 is an equidigital number, since it uses as much as digits as its factorization.

1344007700129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 1344007700129 in words is "one trillion, three hundred forty-four billion, seven million, seven hundred thousand, one hundred twenty-nine".