Search a number
-
+
40014153146133 = 344276211155233
BaseRepresentation
bin10010001100100100001010…
…11000100101111100010101
312020200022112010120022220000
421012102011120211330111
520221042441201134013
6221034125335201513
711266633005564315
oct1106220530457425
9166608463508800
1040014153146133
11118279a8314261
1245a3016b16299
13194341a83754a
149c49a4059445
15495cd7501973
hex246485625f15

40014153146133 has 20 divisors (see below), whose sum is σ = 59774420299308. Its totient is φ = 26676016623360.

The previous prime is 40014153146083. The next prime is 40014153146173. The reversal of 40014153146133 is 33164135141004.

40014153146133 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 4 + 1 + 5 + 31 + 4 + 613 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20175386856804 + 19838766289329 = 4491702^2 + 4454073^2 .

It is not a de Polignac number, because 40014153146133 - 212 = 40014153142037 is a prime.

It is a super-2 number, since 2×400141531461332 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40014153146173) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34059685 + ... + 35214917.

Almost surely, 240014153146133 is an apocalyptic number.

It is an amenable number.

40014153146133 is a deficient number, since it is larger than the sum of its proper divisors (19760267153175).

40014153146133 is a wasteful number, since it uses less digits than its factorization.

40014153146133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582866 (or 1582857 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 40014153146133 its reverse (33164135141004), we get a palindrome (73178288287137).

The spelling of 40014153146133 in words is "forty trillion, fourteen billion, one hundred fifty-three million, one hundred forty-six thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 427621 1155233 1282863 3465699 3848589 10397097 11545767 31191291 34637301 93573873 494001890693 1482005672079 4446017016237 13338051048711 40014153146133