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14142882672 = 2432563917417
BaseRepresentation
bin11010010101111101…
…10100001101110000
31100111122022212202100
431022332310031300
5212431034221142
610255215020400
71010321343042
oct151276641560
940448285670
1014142882672
115aa831a096
1228a850a700
1314450b8339
1498246ba92
1557b958b4c
hex34afb4370

14142882672 has 60 divisors (see below), whose sum is σ = 39589720560. Its totient is φ = 4713187584.

The previous prime is 14142882647. The next prime is 14142882727. The reversal of 14142882672 is 27628824141.

14142882672 is a `hidden beast` number, since 141 + 428 + 82 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×141428826722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 803308 + ... + 820724.

It is an arithmetic number, because the mean of its divisors is an integer number (659828676).

Almost surely, 214142882672 is an apocalyptic number.

14142882672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14142882672 is an abundant number, since it is smaller than the sum of its proper divisors (25446837888).

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

14142882672 is a wasteful number, since it uses less digits than its factorization.

14142882672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23070 (or 23061 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 14142882672 in words is "fourteen billion, one hundred forty-two million, eight hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5639 11278 16917 17417 22556 33834 34834 45112 50751 52251 67668 69668 90224 101502 104502 135336 139336 156753 203004 209004 270672 278672 313506 406008 418008 627012 812016 836016 1254024 2508048 98214463 196428926 294643389 392857852 589286778 785715704 883930167 1178573556 1571431408 1767860334 2357147112 3535720668 4714294224 7071441336 14142882672