Search a number
-
+
1004014020015 = 3455346774471
BaseRepresentation
bin11101001110000111110…
…01100010010110101111
310112222112110111202210000
432213003321202112233
5112422210042120030
62045123200515343
7132352255234206
oct16470371422657
93488473452700
101004014020015
11357888815606
1214270231bb53
13738a7a88806
14368475aa23d
151b1b3d5a860
hexe9c3e625af

1004014020015 has 40 divisors (see below), whose sum is σ = 1833746400288. Its totient is φ = 525370847040.

The previous prime is 1004014020013. The next prime is 1004014020089. The reversal of 1004014020015 is 5100204104001.

1004014020015 is a `hidden beast` number, since 10 + 0 + 401 + 40 + 200 + 15 = 666.

It is not a de Polignac number, because 1004014020015 - 21 = 1004014020013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1004014020015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004014020013) 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 39 ways as a sum of consecutive naturals, for example, 23365771 + ... + 23408700.

Almost surely, 21004014020015 is an apocalyptic number.

1004014020015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1004014020015 is a deficient number, since it is larger than the sum of its proper divisors (829732380273).

1004014020015 is an equidigital number, since it uses as much as digits as its factorization.

1004014020015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46774541 (or 46774532 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1004014020015 its reverse (5100204104001), we get a palindrome (6104218124016).

The spelling of 1004014020015 in words is "one trillion, four billion, fourteen million, twenty thousand, fifteen".

Divisors: 1 3 5 9 15 27 45 53 81 135 159 265 405 477 795 1431 2385 4293 7155 21465 46774471 140323413 233872355 420970239 701617065 1262910717 2104851195 2479046963 3788732151 6314553585 7437140889 12395234815 18943660755 22311422667 37185704445 66934268001 111557113335 200802804003 334671340005 1004014020015