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2982141344 = 257131024087
BaseRepresentation
bin1011000110111111…
…1101110110100000
321200211102110212102
42301233331312200
522101412010334
61211525345532
7133620532430
oct26157756640
97624373772
102982141344
1112a0382a26
126b28682a8
13386aa09a0
142040b82c0
15126c1767e
hexb1bfdda0

2982141344 has 48 divisors (see below), whose sum is σ = 7225964928. Its totient is φ = 1179747072.

The previous prime is 2982141307. The next prime is 2982141353. The reversal of 2982141344 is 4431412892.

It is a junction number, because it is equal to n+sod(n) for n = 2982141298 and 2982141307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509132 + ... + 514955.

It is an arithmetic number, because the mean of its divisors is an integer number (150540936).

Almost surely, 22982141344 is an apocalyptic number.

It is an amenable number.

2982141344 is an abundant number, since it is smaller than the sum of its proper divisors (4243823584).

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

2982141344 is a wasteful number, since it uses less digits than its factorization.

2982141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024117 (or 1024109 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 2982141344 is about 54608.9859272263. The cubic root of 2982141344 is about 1439.3820239281.

The spelling of 2982141344 in words is "two billion, nine hundred eighty-two million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 1024087 2048174 4096348 7168609 8192696 13313131 14337218 16385392 26626262 28674436 32770784 53252524 57348872 93191917 106505048 114697744 186383834 213010096 229395488 372767668 426020192 745535336 1491070672 2982141344