Search a number
-
+
2145142673 = 29374148761
BaseRepresentation
bin111111111011100…
…0100011110010001
312112111110112112122
41333313010132101
513343124031143
6552505504025
7104105261162
oct17767043621
95474415478
102145142673
11a00971493
124ba4a2015
132825653bb
14164c7b769
15c84d2c68
hex7fdc4791

2145142673 has 16 divisors (see below), whose sum is σ = 2334724560. Its totient is φ = 1966003200.

The previous prime is 2145142669. The next prime is 2145142691. The reversal of 2145142673 is 3762415412.

It can be written as a sum of positive squares in 8 ways, for example, as 146337409 + 1998805264 = 12097^2 + 44708^2 .

It is a cyclic number.

It is not a de Polignac number, because 2145142673 - 22 = 2145142669 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2145142613) 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 15 ways as a sum of consecutive naturals, for example, 19613 + ... + 68373.

It is an arithmetic number, because the mean of its divisors is an integer number (145920285).

Almost surely, 22145142673 is an apocalyptic number.

It is an amenable number.

2145142673 is a deficient number, since it is larger than the sum of its proper divisors (189581887).

2145142673 is a wasteful number, since it uses less digits than its factorization.

2145142673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48868.

The product of its digits is 40320, while the sum is 35.

The square root of 2145142673 is about 46315.6849566105. The cubic root of 2145142673 is about 1289.6901831946.

The spelling of 2145142673 in words is "two billion, one hundred forty-five million, one hundred forty-two thousand, six hundred seventy-three".

Divisors: 1 29 37 41 1073 1189 1517 43993 48761 1414069 1804157 1999201 52320553 57976829 73970437 2145142673