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1344223034145 = 325172270977377
BaseRepresentation
bin10011100011111001111…
…011111011101100100001
311202111200012210100111200
4103203321323323230201
5134010432044043040
62505305540431413
7166055046160155
oct23437173735441
94674605710450
101344223034145
1147909994a2a2
121986296a8569
13999b505bb74
14490bc967065
1524e7653b630
hex138f9efbb21

1344223034145 has 48 divisors (see below), whose sum is σ = 2467185149520. Its totient is φ = 674708815872.

The previous prime is 1344223034137. The next prime is 1344223034173. The reversal of 1344223034145 is 5414303224431.

1344223034145 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 2 + 230 + 3 + 414 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 160150435344 + 1184072598801 = 400188^2 + 1088151^2 .

It is not a de Polignac number, because 1344223034145 - 23 = 1344223034137 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17333697 + ... + 17411073.

It is an arithmetic number, because the mean of its divisors is an integer number (51399690615).

Almost surely, 21344223034145 is an apocalyptic number.

1344223034145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1344223034145 is a deficient number, since it is larger than the sum of its proper divisors (1122962115375).

1344223034145 is a wasteful number, since it uses less digits than its factorization.

1344223034145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100114 (or 100111 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1344223034145 its reverse (5414303224431), we get a palindrome (6758526258576).

The spelling of 1344223034145 in words is "one trillion, three hundred forty-four billion, two hundred twenty-three million, thirty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 22709 68127 77377 113545 204381 232131 340635 386053 386885 696393 1021905 1158159 1160655 1315409 1930265 3474477 3481965 3946227 5790795 6577045 11838681 17372385 19731135 59193405 1757154293 5271462879 8785771465 15814388637 26357314395 29871622981 79071943185 89614868943 149358114905 268844606829 448074344715 1344223034145