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2125344144 = 243711432311
BaseRepresentation
bin111111010101110…
…0010110110010000
312111010012200001210
41332223202312100
513323042003034
6550521300120
7103445061420
oct17653426620
95433180053
102125344144
119a0779570
124b3934640
1327b4228b1
141623a6480
15c68c18e9
hex7eae2d90

2125344144 has 240 divisors, whose sum is σ = 7030692864. Its totient is φ = 537465600.

The previous prime is 2125344139. The next prime is 2125344209. The reversal of 2125344144 is 4414435212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6833749 + ... + 6834059.

Almost surely, 22125344144 is an apocalyptic number.

2125344144 is a gapful number since it is divisible by the number (24) 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 2125344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515346432).

2125344144 is an abundant number, since it is smaller than the sum of its proper divisors (4905348720).

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

2125344144 is a wasteful number, since it uses less digits than its factorization.

2125344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 377 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 2125344144 is about 46101.4549011200. The cubic root of 2125344144 is about 1285.7101948089.

Adding to 2125344144 its reverse (4414435212), we get a palindrome (6539779356).

The spelling of 2125344144 in words is "two billion, one hundred twenty-five million, three hundred forty-four thousand, one hundred forty-four".