Search a number
-
+
2135144739 = 37137821043
BaseRepresentation
bin111111101000011…
…1011100100100011
312111210122120221210
41333100323210203
513333044112424
6551511321203
7103624300530
oct17720734443
95453576853
102135144739
119a6262932
124b7080203
13280474770
141637d7d87
15c76aa729
hex7f43b923

2135144739 has 16 divisors (see below), whose sum is σ = 3503827712. Its totient is φ = 1126230048.

The previous prime is 2135144689. The next prime is 2135144743. The reversal of 2135144739 is 9374415312.

It is not a de Polignac number, because 2135144739 - 27 = 2135144611 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2135144697 and 2135144706.

It is not an unprimeable number, because it can be changed into a prime (2135144789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3910249 + ... + 3910794.

It is an arithmetic number, because the mean of its divisors is an integer number (218989232).

Almost surely, 22135144739 is an apocalyptic number.

2135144739 is a deficient number, since it is larger than the sum of its proper divisors (1368682973).

2135144739 is a wasteful number, since it uses less digits than its factorization.

2135144739 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821066.

The product of its digits is 90720, while the sum is 39.

The square root of 2135144739 is about 46207.6264159933. The cubic root of 2135144739 is about 1287.6834290956.

The spelling of 2135144739 in words is "two billion, one hundred thirty-five million, one hundred forty-four thousand, seven hundred thirty-nine".

Divisors: 1 3 7 13 21 39 91 273 7821043 23463129 54747301 101673559 164241903 305020677 711714913 2135144739