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2129043840 = 273571114401
BaseRepresentation
bin111111011100110…
…1010000110000000
312111101011122002120
41332321222012000
513330013400330
6551132444240
7103521400620
oct17671520600
95441148076
102129043840
119a2876170
124b5019680
1327c119871
14162a8a880
15c6da2c10
hex7ee6a180

2129043840 has 256 divisors, whose sum is σ = 8461463040. Its totient is φ = 442368000.

The previous prime is 2129043799. The next prime is 2129043853. The reversal of 2129043840 is 483409212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140640 + ... + 155040.

It is an arithmetic number, because the mean of its divisors is an integer number (33052590).

Almost surely, 22129043840 is an apocalyptic number.

2129043840 is a gapful number since it is divisible by the number (20) 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 2129043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230731520).

2129043840 is an abundant number, since it is smaller than the sum of its proper divisors (6332419200).

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

2129043840 is a wasteful number, since it uses less digits than its factorization.

2129043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14441 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2129043840 is about 46141.5630424458. The cubic root of 2129043840 is about 1286.4557963225.

The spelling of 2129043840 in words is "two billion, one hundred twenty-nine million, forty-three thousand, eight hundred forty".