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40162325141 = 557109765729
BaseRepresentation
bin100101011001110111…
…000111001010010101
310211122222111111201202
4211121313013022111
51124223023401031
630241134002245
72621155062641
oct453167071225
9124588444652
1040162325141
111603a649354
12794a346385
133a308a8443
141d2dd83c21
1510a0d9d2cb
hex959dc7295

40162325141 has 8 divisors (see below), whose sum is σ = 40271719320. Its totient is φ = 40053065728.

The previous prime is 40162325111. The next prime is 40162325221. The reversal of 40162325141 is 14152326104.

It can be written as a sum of positive squares in 4 ways, for example, as 1221222916 + 38941102225 = 34946^2 + 197335^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40162325141 - 210 = 40162324117 is a prime.

It is a super-3 number, since 3×401623251413 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40162325111) 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 7 ways as a sum of consecutive naturals, for example, 578165 + ... + 643893.

It is an arithmetic number, because the mean of its divisors is an integer number (5033964915).

Almost surely, 240162325141 is an apocalyptic number.

It is an amenable number.

40162325141 is a deficient number, since it is larger than the sum of its proper divisors (109394179).

40162325141 is a wasteful number, since it uses less digits than its factorization.

40162325141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67383.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 40162325141 in words is "forty billion, one hundred sixty-two million, three hundred twenty-five thousand, one hundred forty-one".

Divisors: 1 557 1097 65729 611029 36611053 72104713 40162325141