Search a number
-
+
40166275446740 = 2252008313772337
BaseRepresentation
bin10010010000111111100001…
…00101000111011111010100
312021012212011210111212212202
421020133300211013133110
520231041013003243430
6221232044320104032
711313626515033022
oct1110376045073724
9167185153455782
1040166275446740
11118864703a2253
1246085b0465018
1319548819b2181
149cc0b561d712
15499c3c5a0d45
hex2487f09477d4

40166275446740 has 12 divisors (see below), whose sum is σ = 84349178438196. Its totient is φ = 16066510178688.

The previous prime is 40166275446691. The next prime is 40166275446799. The reversal of 40166275446740 is 4764457266104.

40166275446740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4816734426436 + 35349541020304 = 2194706^2 + 5945548^2 .

It is a super-3 number, since 3×401662754467403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1004156886149 + ... + 1004156886188.

It is an arithmetic number, because the mean of its divisors is an integer number (7029098203183).

Almost surely, 240166275446740 is an apocalyptic number.

It is an amenable number.

40166275446740 is an abundant number, since it is smaller than the sum of its proper divisors (44182902991456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40166275446740 is a wasteful number, since it uses less digits than its factorization.

40166275446740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008313772346 (or 2008313772344 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 56.

The spelling of 40166275446740 in words is "forty trillion, one hundred sixty-six billion, two hundred seventy-five million, four hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 2008313772337 4016627544674 8033255089348 10041568861685 20083137723370 40166275446740