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1344414141077 = 729131379133391
BaseRepresentation
bin10011100100000101010…
…100111100101010010101
311202112011112101120221012
4103210011110330222111
5134011330010003302
62505340524502005
7166062556435220
oct23440524745225
94675145346835
101344414141077
11479187808807
121986816aa905
1399a158213a7
14490da0b25b7
1524e881daa52
hex1390553ca95

1344414141077 has 32 divisors (see below), whose sum is σ = 1605826252800. Its totient is φ = 1101203812800.

The previous prime is 1344414141067. The next prime is 1344414141127. The reversal of 1344414141077 is 7701414144431.

It is not a de Polignac number, because 1344414141077 - 26 = 1344414141013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344414141017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10012052 + ... + 10145442.

It is an arithmetic number, because the mean of its divisors is an integer number (50182070400).

Almost surely, 21344414141077 is an apocalyptic number.

It is an amenable number.

1344414141077 is a deficient number, since it is larger than the sum of its proper divisors (261412111723).

1344414141077 is a wasteful number, since it uses less digits than its factorization.

1344414141077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133937.

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 1344414141077 in words is "one trillion, three hundred forty-four billion, four hundred fourteen million, one hundred forty-one thousand, seventy-seven".

Divisors: 1 7 29 131 203 379 917 2653 3799 10991 26593 49649 76937 133391 347543 933737 1439821 3868339 10078747 17474221 27078373 50555189 122319547 353886323 506752409 1466100481 3547266863 6622729759 10262703367 46359108313 192059163011 1344414141077