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2142132288 = 26311156939
BaseRepresentation
bin111111110101110…
…0101100001000000
312112021210121001220
41333223211201000
513341341213123
6552321155040
7104040552432
oct17753454100
95467717056
102142132288
119aa1a576a
124b948ba80
13281a500ca
141646d6652
15c80dace3
hex7fae5840

2142132288 has 28 divisors (see below), whose sum is σ = 5667725520. Its totient is φ = 714044032.

The previous prime is 2142132253. The next prime is 2142132359. The reversal of 2142132288 is 8822312412.

2142132288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21421322882 = 9177461478584229888, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5578278 + ... + 5578661.

Almost surely, 22142132288 is an apocalyptic number.

It is an amenable number.

2142132288 is an abundant number, since it is smaller than the sum of its proper divisors (3525593232).

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

2142132288 is a wasteful number, since it uses less digits than its factorization.

2142132288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11156954 (or 11156944 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 2142132288 is about 46283.1749991290. The cubic root of 2142132288 is about 1289.0866053845.

The spelling of 2142132288 in words is "two billion, one hundred forty-two million, one hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11156939 22313878 33470817 44627756 66941634 89255512 133883268 178511024 267766536 357022048 535533072 714044096 1071066144 2142132288