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2844142868 = 227229661757
BaseRepresentation
bin1010100110000110…
…0010110100010100
321100012202102112202
42221201202310110
521311100032433
61150115504032
7130323546500
oct25141426424
97305672482
102844142868
11122a4986a6
126745b8018
13364314698
141cda35300
15119a58ee8
hexa9862d14

2844142868 has 72 divisors (see below), whose sum is σ = 6006498120. Its totient is φ = 1173553920.

The previous prime is 2844142867. The next prime is 2844142877. The reversal of 2844142868 is 8682414482.

It can be written as a sum of positive squares in 4 ways, for example, as 964226704 + 1879916164 = 31052^2 + 43358^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2844142867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3756746 + ... + 3757502.

It is an arithmetic number, because the mean of its divisors is an integer number (83423585).

Almost surely, 22844142868 is an apocalyptic number.

2844142868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2844142868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003249060).

2844142868 is an abundant number, since it is smaller than the sum of its proper divisors (3162355252).

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

2844142868 is a wasteful number, since it uses less digits than its factorization.

2844142868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1456 counting only the distinct ones).

The product of its digits is 786432, while the sum is 47.

The square root of 2844142868 is about 53330.5059792236. The cubic root of 2844142868 is about 1416.8280165998.

The spelling of 2844142868 in words is "two billion, eight hundred forty-four million, one hundred forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 661 757 812 1322 1421 1514 2644 2842 3028 4627 5299 5684 9254 10598 18508 19169 21196 21953 32389 37093 38338 43906 64778 74186 76676 87812 129556 134183 148372 153671 268366 307342 500377 536732 614684 939281 1000754 1075697 1878562 2001508 2151394 3502639 3757124 4302788 7005278 14010556 14510933 24518473 29021866 49036946 58043732 98073892 101576531 203153062 406306124 711035717 1422071434 2844142868