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144340215435315 = 3253207560343007
BaseRepresentation
bin100000110100011011010011…
…010001001001000000110011
3200221001210022210022001110200
4200310123103101021000303
5122404332230122412230
61230552551330330243
742255144044550624
oct4064332321110063
9627053283261420
10144340215435315
1141a9a383742969
1214232126129983
1362702bac1a0b3
1427901647b9a4b
1511a49484e5160
hex8346d3449033

144340215435315 has 12 divisors (see below), whose sum is σ = 250189706754624. Its totient is φ = 76981448232144.

The previous prime is 144340215435289. The next prime is 144340215435329. The reversal of 144340215435315 is 513534512043441.

144340215435315 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 40 + 2 + 1 + 543 + 53 + 15 = 666.

It is not a de Polignac number, because 144340215435315 - 215 = 144340215402547 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3207560343007 = 144340215435315 / (1 + 4 + 4 + 3 + 4 + 0 + 2 + 1 + 5 + 4 + 3 + 5 + 3 + 1 + 5).

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 11 ways as a sum of consecutive naturals, for example, 1603780171459 + ... + 1603780171548.

It is an arithmetic number, because the mean of its divisors is an integer number (20849142229552).

Almost surely, 2144340215435315 is an apocalyptic number.

144340215435315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144340215435315 is a deficient number, since it is larger than the sum of its proper divisors (105849491319309).

144340215435315 is a wasteful number, since it uses less digits than its factorization.

144340215435315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207560343018 (or 3207560343015 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 144340215435315 its reverse (513534512043441), we get a palindrome (657874727478756).

The spelling of 144340215435315 in words is "one hundred forty-four trillion, three hundred forty billion, two hundred fifteen million, four hundred thirty-five thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 45 3207560343007 9622681029021 16037801715035 28868043087063 48113405145105 144340215435315