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2143411400 = 2352132373491
BaseRepresentation
bin111111111000001…
…1101110011001000
312112101012120200102
41333300131303020
513342203131100
6552404424532
7104054460554
oct17760356310
95471176612
102143411400
119aa999789
124b99a8148
132820aa390
1416494a864
15c828ecd5
hex7fc1dcc8

2143411400 has 192 divisors, whose sum is σ = 5688385920. Its totient is φ = 745113600.

The previous prime is 2143411397. The next prime is 2143411421. The reversal of 2143411400 is 41143412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4365155 + ... + 4365645.

It is an arithmetic number, because the mean of its divisors is an integer number (29627010).

Almost surely, 22143411400 is an apocalyptic number.

2143411400 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 2143411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844192960).

2143411400 is an abundant number, since it is smaller than the sum of its proper divisors (3544974520).

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

2143411400 is a wasteful number, since it uses less digits than its factorization.

2143411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2143411400 is about 46296.9912629320. The cubic root of 2143411400 is about 1289.3431345243.

Adding to 2143411400 its reverse (41143412), we get a palindrome (2184554812).

The spelling of 2143411400 in words is "two billion, one hundred forty-three million, four hundred eleven thousand, four hundred".