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2142414112 = 2543236209
BaseRepresentation
bin111111110110010…
…1010010100100000
312112022022220122211
41333230222110200
513341424222422
6552331211504
7104043135166
oct17754522440
95468286584
102142414112
119aa378483
124b95a6b94
13281b1b477
1416476b236
15c8144577
hex7fb2a520

2142414112 has 36 divisors (see below), whose sum is σ = 4318368390. Its totient is φ = 1046266368.

The previous prime is 2142414107. The next prime is 2142414133. The reversal of 2142414112 is 2114142412.

It can be written as a sum of positive squares in only one way, i.e., 2046295696 + 96118416 = 45236^2 + 9804^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41064 + ... + 77272.

Almost surely, 22142414112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159184195).

2142414112 is an abundant number, since it is smaller than the sum of its proper divisors (2175954278).

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

2142414112 is an equidigital number, since it uses as much as digits as its factorization.

2142414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36305 (or 36254 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 2142414112 is about 46286.2194610880. The cubic root of 2142414112 is about 1289.1431346683.

Adding to 2142414112 its reverse (2114142412), we get a palindrome (4256556524).

The spelling of 2142414112 in words is "two billion, one hundred forty-two million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 1849 3698 7396 14792 29584 36209 59168 72418 144836 289672 579344 1158688 1556987 3113974 6227948 12455896 24911792 49823584 66950441 133900882 267801764 535603528 1071207056 2142414112