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40290146082189 = 3253188944714513
BaseRepresentation
bin10010010100100110001111…
…10110000101110110001101
312021122200220112222011000200
421022103013312011312031
520240103204344112224
6221405012041444113
711325603244045623
oct1112230766056615
9167580815864020
1040290146082189
1111923a56113043
1246286004a0639
131963462a65773
149d40a6a43513
1549d08c2765c9
hex24a4c7d85d8d

40290146082189 has 24 divisors (see below), whose sum is σ = 59326322884920. Its totient is φ = 26339351580672.

The previous prime is 40290146082181. The next prime is 40290146082223. The reversal of 40290146082189 is 98128064109204.

It is a happy number.

40290146082189 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 0 + 1 + 4 + 608 + 21 + 8 + 9 = 666.

40290146082189 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 4 ways, for example, as 5004764059689 + 35285382022500 = 2237133^2 + 5940150^2 .

It is not a de Polignac number, because 40290146082189 - 23 = 40290146082181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40290146082181) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21456204 + ... + 23258309.

It is an arithmetic number, because the mean of its divisors is an integer number (2471930120205).

Almost surely, 240290146082189 is an apocalyptic number.

It is an amenable number.

40290146082189 is a deficient number, since it is larger than the sum of its proper divisors (19036176802731).

40290146082189 is a wasteful number, since it uses less digits than its factorization.

40290146082189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44716461 (or 44716458 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 40290146082189 in words is "forty trillion, two hundred ninety billion, one hundred forty-six million, eighty-two thousand, one hundred eighty-nine".

Divisors: 1 3 9 53 159 477 1889 5667 17001 100117 300351 901053 44714513 134143539 402430617 2369869189 7109607567 21328822701 84465715057 253397145171 760191435513 4476682898021 13430048694063 40290146082189