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2014013661 = 311219436791
BaseRepresentation
bin111100000001011…
…0110100011011101
312012100201111100120
41320002312203131
513111041414121
6531503145153
7100623555642
oct17002664335
95170644316
102014013661
11943949300
124825a51b9
13261342a7a
141516a5dc9
15bbc2ebc6
hex780b68dd

2014013661 has 48 divisors (see below), whose sum is σ = 3179742720. Its totient is φ = 1129312800.

The previous prime is 2014013641. The next prime is 2014013671. The reversal of 2014013661 is 1663104102.

2014013661 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2014013661 - 218 = 2013751517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014013641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293176 + ... + 299966.

It is an arithmetic number, because the mean of its divisors is an integer number (66244640).

Almost surely, 22014013661 is an apocalyptic number.

It is an amenable number.

2014013661 is a deficient number, since it is larger than the sum of its proper divisors (1165729059).

2014013661 is a wasteful number, since it uses less digits than its factorization.

2014013661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2014013661 is about 44877.7635472179. The cubic root of 2014013661 is about 1262.8568879745.

Adding to 2014013661 its reverse (1663104102), we get a palindrome (3677117763).

The spelling of 2014013661 in words is "two billion, fourteen million, thirteen thousand, six hundred sixty-one".

Divisors: 1 3 11 19 33 43 57 121 129 209 363 473 627 817 1419 2299 2451 5203 6791 6897 8987 15609 20373 26961 74701 98857 129029 224103 292013 296571 387087 821711 876039 1419319 2465133 3212143 4257957 5548247 9636429 15612509 16644741 35333573 46837527 61030717 106000719 183092151 671337887 2014013661