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2134144420 = 225281433877
BaseRepresentation
bin111111100110100…
…0111010110100100
312111201202202202221
41333031013112210
513332320110140
6551434042124
7103612633252
oct17715072644
95451682687
102134144420
119a573a321
124b6879344
132801b4365
141636175d2
15c755e14a
hex7f3475a4

2134144420 has 48 divisors (see below), whose sum is σ = 4513179888. Its totient is φ = 847687680.

The previous prime is 2134144417. The next prime is 2134144459. The reversal of 2134144420 is 244414312.

It can be written as a sum of positive squares in 8 ways, for example, as 443556 + 2133700864 = 666^2 + 46192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433022 + ... + 2433898.

It is an arithmetic number, because the mean of its divisors is an integer number (94024581).

Almost surely, 22134144420 is an apocalyptic number.

2134144420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134144420 is an abundant number, since it is smaller than the sum of its proper divisors (2379035468).

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

2134144420 is a wasteful number, since it uses less digits than its factorization.

2134144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2134144420 is about 46196.8009714959. The cubic root of 2134144420 is about 1287.4823037125.

Adding to 2134144420 its reverse (244414312), we get a palindrome (2378558732).

The spelling of 2134144420 in words is "two billion, one hundred thirty-four million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 281 433 562 866 877 1124 1405 1732 1754 2165 2810 3508 4330 4385 5620 8660 8770 17540 121673 243346 246437 379741 486692 492874 608365 759482 985748 1216730 1232185 1518964 1898705 2433460 2464370 3797410 4928740 7594820 106707221 213414442 426828884 533536105 1067072210 2134144420