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144000516676 = 22172111612
BaseRepresentation
bin1000011000011100011…
…0011000001001000100
3111202200122101011221111
42012013012120021010
54324403113013201
6150053010454404
713255316124142
oct2060706301104
9452618334844
10144000516676
11560855a0575
1223aa9594404
131076b634923
146d80a78592
153b2c049b51
hex2187198244

144000516676 has 27 divisors (see below), whose sum is σ = 267720449367. Its totient is φ = 67758877440.

The previous prime is 144000516629. The next prime is 144000516679. The reversal of 144000516676 is 676615000441.

The square root of 144000516676 is 379474.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16248600900 + 127751915776 = 127470^2 + 357424^2 .

It is a super-2 number, since 2×1440005166762 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144000516679) 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 8 ways as a sum of consecutive naturals, for example, 12896536 + ... + 12907696.

Almost surely, 2144000516676 is an apocalyptic number.

144000516676 is the 379474-th square number.

It is an amenable number.

144000516676 is a deficient number, since it is larger than the sum of its proper divisors (123719932691).

144000516676 is an frugal number, since it uses more digits than its factorization.

144000516676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22360 (or 11180 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 144000516676 in words is "one hundred forty-four billion, five hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 4 17 34 68 289 578 1156 11161 22322 44644 189737 379474 758948 3225529 6451058 12902116 124567921 249135842 498271684 2117654657 4235309314 8470618628 36000129169 72000258338 144000516676