Search a number
-
+
2114011144 = 237232956597
BaseRepresentation
bin111111000000001…
…0100000000001000
312110022212220010001
41332000110000020
513312141324034
6545434332344
7103246540540
oct17600240010
95408786101
102114011144
11995338953
124abb8a0b4
13278c8538b
14160a96320
15c58d3a14
hex7e014008

2114011144 has 64 divisors (see below), whose sum is σ = 4890067200. Its totient is φ = 836715264.

The previous prime is 2114011129. The next prime is 2114011147. The reversal of 2114011144 is 4411104112.

It is not an unprimeable number, because it can be changed into a prime (2114011147) 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, 9054 + ... + 65650.

It is an arithmetic number, because the mean of its divisors is an integer number (76407300).

Almost surely, 22114011144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445033600).

2114011144 is an abundant number, since it is smaller than the sum of its proper divisors (2776056056).

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

2114011144 is a wasteful number, since it uses less digits than its factorization.

2114011144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56662 (or 56658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 2114011144 is about 45978.3769178513. The cubic root of 2114011144 is about 1283.4208511219.

Adding to 2114011144 its reverse (4411104112), we get a palindrome (6525115256).

The spelling of 2114011144 in words is "two billion, one hundred fourteen million, eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 161 184 203 232 322 406 644 667 812 1288 1334 1624 2668 4669 5336 9338 18676 37352 56597 113194 226388 396179 452776 792358 1301731 1584716 1641313 2603462 3169432 3282626 5206924 6565252 9112117 10413848 11489191 13130504 18224234 22978382 36448468 37750199 45956764 72896936 75500398 91913528 151000796 264251393 302001592 528502786 1057005572 2114011144