Search a number
-
+
2144013354 = 23375671993
BaseRepresentation
bin111111111001011…
…0000110000101010
312112102100011102000
41333302300300222
513342331411404
6552425351430
7104062545540
oct17762606052
95472304360
102144013354
11a0026aa6a
124ba038576
1328225b372
14164a65d90
15c835d339
hex7fcb0c2a

2144013354 has 32 divisors (see below), whose sum is σ = 5445114240. Its totient is φ = 612575136.

The previous prime is 2144013353. The next prime is 2144013367. The reversal of 2144013354 is 4533104412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2144013353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835619 + ... + 2836374.

It is an arithmetic number, because the mean of its divisors is an integer number (170159820).

Almost surely, 22144013354 is an apocalyptic number.

2144013354 is an abundant number, since it is smaller than the sum of its proper divisors (3301100886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2144013354 is a wasteful number, since it uses less digits than its factorization.

2144013354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672011 (or 5672005 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2144013354 is about 46303.4918121733. The cubic root of 2144013354 is about 1289.4638226033.

Adding to 2144013354 its reverse (4533104412), we get a palindrome (6677117766).

The spelling of 2144013354 in words is "two billion, one hundred forty-four million, thirteen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 5671993 11343986 17015979 34031958 39703951 51047937 79407902 102095874 119111853 153143811 238223706 306287622 357335559 714671118 1072006677 2144013354