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42145365321 = 326177589657
BaseRepresentation
bin100111010000000011…
…110011110101001001
311000210011221101110100
4213100003303311021
51142303203142241
631210013240013
73021254460123
oct472003636511
9130704841410
1042145365321
1116967a61834
128202493009
133c886950b7
14207b4a6213
15116a0109b6
hex9d00f3d49

42145365321 has 12 divisors (see below), whose sum is σ = 60975312372. Its totient is φ = 28051368576.

The previous prime is 42145365307. The next prime is 42145365331. The reversal of 42145365321 is 12356354124.

42145365321 is a `hidden beast` number, since 42 + 14 + 536 + 53 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1792590921 + 40352774400 = 42339^2 + 200880^2 .

It is not a de Polignac number, because 42145365321 - 227 = 42011147593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42145365331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3789276 + ... + 3800381.

It is an arithmetic number, because the mean of its divisors is an integer number (5081276031).

Almost surely, 242145365321 is an apocalyptic number.

It is an amenable number.

42145365321 is a deficient number, since it is larger than the sum of its proper divisors (18829947051).

42145365321 is a wasteful number, since it uses less digits than its factorization.

42145365321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590280 (or 7590277 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 42145365321 in words is "forty-two billion, one hundred forty-five million, three hundred sixty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 617 1851 5553 7589657 22768971 68306913 4682818369 14048455107 42145365321