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2144132793 = 321167731991
BaseRepresentation
bin111111111001100…
…1101111010111001
312112102120020020200
41333303031322321
513342344222133
6552432112413
7104063554005
oct17763157271
95472506220
102144132793
11a00341780
124ba095709
132822a083a
14164a97705
15c8383913
hex7fccdeb9

2144132793 has 24 divisors (see below), whose sum is σ = 3383729856. Its totient is φ = 1297514400.

The previous prime is 2144132791. The next prime is 2144132801. The reversal of 2144132793 is 3972314412.

It is a happy number.

2144132793 is a `hidden beast` number, since 214 + 413 + 27 + 9 + 3 = 666.

It is not a de Polignac number, because 2144132793 - 21 = 2144132791 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2144132791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51028 + ... + 83018.

It is an arithmetic number, because the mean of its divisors is an integer number (140988744).

Almost surely, 22144132793 is an apocalyptic number.

It is an amenable number.

2144132793 is a deficient number, since it is larger than the sum of its proper divisors (1239597063).

2144132793 is a wasteful number, since it uses less digits than its factorization.

2144132793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32685 (or 32682 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2144132793 is about 46304.7815349560. The cubic root of 2144132793 is about 1289.4877667032.

The spelling of 2144132793 in words is "two billion, one hundred forty-four million, one hundred thirty-two thousand, seven hundred ninety-three".

Divisors: 1 3 9 11 33 99 677 2031 6093 7447 22341 31991 67023 95973 287919 351901 1055703 3167109 21657907 64973721 194921163 238236977 714710931 2144132793