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54221401314 = 2323012300073
BaseRepresentation
bin110010011111110110…
…001110110011100010
312011221210010120120200
4302133312032303202
51342021134320224
640524200450030
73626441210133
oct623766166342
9164853116520
1054221401314
1120aa4627373
12a612779916
1351614cc922
1428a5237c8a
1516252a05c9
hexc9fd8ece2

54221401314 has 12 divisors (see below), whose sum is σ = 117479702886. Its totient is φ = 18073800432.

The previous prime is 54221401301. The next prime is 54221401321. The reversal of 54221401314 is 41310412245.

54221401314 is a `hidden beast` number, since 5 + 4 + 221 + 401 + 31 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29215355625 + 25006045689 = 170925^2 + 158133^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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, 1506150019 + ... + 1506150054.

Almost surely, 254221401314 is an apocalyptic number.

54221401314 is an abundant number, since it is smaller than the sum of its proper divisors (63258301572).

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

54221401314 is a wasteful number, since it uses less digits than its factorization.

54221401314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012300081 (or 3012300078 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 54221401314 its reverse (41310412245), we get a palindrome (95531813559).

It can be divided in two parts, 54221 and 401314, that added together give a triangular number (455535 = T954).

The spelling of 54221401314 in words is "fifty-four billion, two hundred twenty-one million, four hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 3012300073 6024600146 9036900219 18073800438 27110700657 54221401314