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2143414140 = 22357131163239
BaseRepresentation
bin111111111000001…
…1110011101111100
312112101012201102220
41333300132131330
513342203223030
6552404445340
7104054501550
oct17760363574
95471181386
102143414140
119aa9a084a
124b99a9850
132820ab6ba
1416494b860
15c8290a10
hex7fc1e77c

2143414140 has 192 divisors, whose sum is σ = 6982778880. Its totient is φ = 481178880.

The previous prime is 2143414139. The next prime is 2143414151. The reversal of 2143414140 is 414143412.

It is a self number, because there is not a number n which added to its sum of digits gives 2143414140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8968141 + ... + 8968379.

It is an arithmetic number, because the mean of its divisors is an integer number (36368640).

Almost surely, 22143414140 is an apocalyptic number.

2143414140 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 2143414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491389440).

2143414140 is an abundant number, since it is smaller than the sum of its proper divisors (4839364740).

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

2143414140 is a wasteful number, since it uses less digits than its factorization.

2143414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2143414140 is about 46297.0208544783. The cubic root of 2143414140 is about 1289.3436839287.

Adding to 2143414140 its reverse (414143412), we get a palindrome (2557557552).

The spelling of 2143414140 in words is "two billion, one hundred forty-three million, four hundred fourteen thousand, one hundred forty".