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2114440000 = 265452861
BaseRepresentation
bin111111000000111…
…1100101101000000
312110100200200101121
41332001330231000
513312244040000
6545451442024
7103253305051
oct17601745500
95410620347
102114440000
11995601082
124b0156314
132790a563a
14160b68728
15c596ab1a
hex7e07cb40

2114440000 has 70 divisors (see below), whose sum is σ = 5243223194. Its totient is φ = 845760000.

The previous prime is 2114439959. The next prime is 2114440007. The reversal of 2114440000 is 444112.

2114440000 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 5 ways, for example, as 660695616 + 1453744384 = 25704^2 + 38128^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114440007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13570 + ... + 66430.

Almost surely, 22114440000 is an apocalyptic number.

2114440000 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 2114440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621611597).

2114440000 is an abundant number, since it is smaller than the sum of its proper divisors (3128783194).

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

2114440000 is an frugal number, since it uses more digits than its factorization.

2114440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52893 (or 52868 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2114440000 is about 45983.0403518515. The cubic root of 2114440000 is about 1283.5076317300.

Adding to 2114440000 its reverse (444112), we get a palindrome (2114884112).

The spelling of 2114440000 in words is "two billion, one hundred fourteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 52861 105722 211444 264305 422888 528610 845776 1057220 1321525 1691552 2114440 2643050 3383104 4228880 5286100 6607625 8457760 10572200 13215250 16915520 21144400 26430500 33038125 42288800 52861000 66076250 84577600 105722000 132152500 211444000 264305000 422888000 528610000 1057220000 2114440000