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214011141140 = 22510700557057
BaseRepresentation
bin1100011101010000001…
…1101101110000010100
3202110101210201101211202
43013110003231300110
512001243323004030
6242152041252032
721314252453666
oct3072403556024
9673353641752
10214011141140
1182841789995
1235587a94018
131724802c134
14a502c58536
155878558745
hex31d40edc14

214011141140 has 12 divisors (see below), whose sum is σ = 449423396436. Its totient is φ = 85604456448.

The previous prime is 214011141139. The next prime is 214011141151. The reversal of 214011141140 is 41141110412.

It can be written as a sum of positive squares in 2 ways, for example, as 124702209424 + 89308931716 = 353132^2 + 298846^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10700557057 = 214011141140 / (2 + 1 + 4 + 0 + 1 + 1 + 1 + 4 + 1 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5350278509 + ... + 5350278548.

It is an arithmetic number, because the mean of its divisors is an integer number (37451949703).

Almost surely, 2214011141140 is an apocalyptic number.

214011141140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214011141140 is an abundant number, since it is smaller than the sum of its proper divisors (235412255296).

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

214011141140 is a wasteful number, since it uses less digits than its factorization.

214011141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700557066 (or 10700557064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 214011141140 its reverse (41141110412), we get a palindrome (255152251552).

The spelling of 214011141140 in words is "two hundred fourteen billion, eleven million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 10700557057 21401114114 42802228228 53502785285 107005570570 214011141140