Search a number
-
+
2914432047 = 323110445993
BaseRepresentation
bin1010110110110110…
…1011010000101111
321112010000111011200
42231231223100233
521432043311142
61201110220543
7132136156302
oct25555532057
97463014150
102914432047
111266136a2a
12694054753
13375a54a07
141d90d0b39
15120ce064c
hexadb6b42f

2914432047 has 12 divisors (see below), whose sum is σ = 4345533504. Its totient is φ = 1880278560.

The previous prime is 2914432019. The next prime is 2914432067. The reversal of 2914432047 is 7402344192.

2914432047 is a `hidden beast` number, since 2 + 9 + 1 + 443 + 204 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2914432047 is a prime.

It is a super-2 number, since 2×29144320472 = 16987828313161220418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2914432067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5222718 + ... + 5223275.

It is an arithmetic number, because the mean of its divisors is an integer number (362127792).

Almost surely, 22914432047 is an apocalyptic number.

2914432047 is a deficient number, since it is larger than the sum of its proper divisors (1431101457).

2914432047 is a wasteful number, since it uses less digits than its factorization.

2914432047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10446030 (or 10446027 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2914432047 is about 53985.4799645238. The cubic root of 2914432047 is about 1428.4048339641.

The spelling of 2914432047 in words is "two billion, nine hundred fourteen million, four hundred thirty-two thousand, forty-seven".

Divisors: 1 3 9 31 93 279 10445993 31337979 94013937 323825783 971477349 2914432047