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2141322440 = 235109491129
BaseRepresentation
bin111111110100001…
…1111110011001000
312112020021110011112
41333220133303020
513341134304230
6552251545452
7104030640365
oct17750376310
95466243145
102141322440
119a97a2274
124b915b288
132818285ca
1416456546c
15c7ecad95
hex7fa1fcc8

2141322440 has 32 divisors (see below), whose sum is σ = 4862187000. Its totient is φ = 848669184.

The previous prime is 2141322373. The next prime is 2141322451. The reversal of 2141322440 is 442231412.

It can be written as a sum of positive squares in 4 ways, for example, as 2070796036 + 70526404 = 45506^2 + 8398^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241205 + ... + 249924.

Almost surely, 22141322440 is an apocalyptic number.

2141322440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141322440 is an abundant number, since it is smaller than the sum of its proper divisors (2720864560).

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

2141322440 is a wasteful number, since it uses less digits than its factorization.

2141322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491249 (or 491245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2141322440 is about 46274.4253340871. The cubic root of 2141322440 is about 1288.9241355249.

Adding to 2141322440 its reverse (442231412), we get a palindrome (2583553852).

The spelling of 2141322440 in words is "two billion, one hundred forty-one million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 491129 982258 1964516 2455645 3929032 4911290 9822580 19645160 53533061 107066122 214132244 267665305 428264488 535330610 1070661220 2141322440