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144075714305 = 564164217001
BaseRepresentation
bin1000011000101110010…
…1001110111100000001
3111202212212212121200212
42012023211032330001
54330031340324210
6150104254323505
713260221236205
oct2061345167401
9452785777625
10144075714305
1156113a91676
1223b0a7b9595
13107810a3173
146d8aa50b05
153b33950805
hex218b94ef01

144075714305 has 16 divisors (see below), whose sum is σ = 173212283088. Its totient is φ = 115046400000.

The previous prime is 144075714287. The next prime is 144075714311. The reversal of 144075714305 is 503417570441.

It can be written as a sum of positive squares in 8 ways, for example, as 10679824 + 144065034481 = 3268^2 + 379559^2 .

It is not a de Polignac number, because 144075714305 - 224 = 144058937089 is a prime.

It is a super-2 number, since 2×1440757143052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20575805 + ... + 20582805.

It is an arithmetic number, because the mean of its divisors is an integer number (10825767693).

Almost surely, 2144075714305 is an apocalyptic number.

It is an amenable number.

144075714305 is a deficient number, since it is larger than the sum of its proper divisors (29136568783).

144075714305 is an equidigital number, since it uses as much as digits as its factorization.

144075714305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14068.

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 144075714305 in words is "one hundred forty-four billion, seventy-five million, seven hundred fourteen thousand, three hundred five".

Divisors: 1 5 641 3205 6421 7001 32105 35005 4115861 4487641 20579305 22438205 44953421 224767105 28815142861 144075714305