Search a number
-
+
2142331104 = 25389250741
BaseRepresentation
bin111111110110001…
…0110000011100000
312112022011200210110
41333230112003200
513341414043404
6552325331320
7104042341164
oct17754260340
95468150713
102142331104
119aa321081
124b9566b40
13281abc754
14164748ca4
15c8129b89
hex7fb160e0

2142331104 has 48 divisors (see below), whose sum is σ = 5686828560. Its totient is φ = 706083840.

The previous prime is 2142331033. The next prime is 2142331153. The reversal of 2142331104 is 4011332412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116827 + ... + 133914.

It is an arithmetic number, because the mean of its divisors is an integer number (118475595).

Almost surely, 22142331104 is an apocalyptic number.

2142331104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142331104 is an abundant number, since it is smaller than the sum of its proper divisors (3544497456).

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

2142331104 is a wasteful number, since it uses less digits than its factorization.

2142331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250843 (or 250835 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2142331104 is about 46285.3227708309. The cubic root of 2142331104 is about 1289.1264851366.

Adding to 2142331104 its reverse (4011332412), we get a palindrome (6153663516).

The spelling of 2142331104 in words is "two billion, one hundred forty-two million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 250741 501482 752223 1002964 1504446 2005928 3008892 4011856 6017784 8023712 12035568 22315949 24071136 44631898 66947847 89263796 133895694 178527592 267791388 357055184 535582776 714110368 1071165552 2142331104