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42212514321 = 3210337453737
BaseRepresentation
bin100111010100000011…
…111101101000010001
311000221212021220120100
4213110003331220101
51142422400424241
631220412403013
73023031310605
oct472403755021
9130855256510
1042212514321
11169a195587a
128220a76469
133c99576033
142086385505
151170d769b6
hex9d40fda11

42212514321 has 12 divisors (see below), whose sum is σ = 60979664772. Its totient is φ = 28138891776.

The previous prime is 42212514317. The next prime is 42212514371. The reversal of 42212514321 is 12341521224.

42212514321 is a `hidden beast` number, since 4 + 221 + 2 + 5 + 1 + 432 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2517530625 + 39694983696 = 50175^2 + 199236^2 .

It is not a de Polignac number, because 42212514321 - 22 = 42212514317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42212514371) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 133836 + ... + 319901.

It is an arithmetic number, because the mean of its divisors is an integer number (5081638731).

Almost surely, 242212514321 is an apocalyptic number.

It is an amenable number.

42212514321 is a deficient number, since it is larger than the sum of its proper divisors (18767150451).

42212514321 is a wasteful number, since it uses less digits than its factorization.

42212514321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464080 (or 464077 counting only the distinct ones).

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

The spelling of 42212514321 in words is "forty-two billion, two hundred twelve million, five hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 10337 31011 93033 453737 1361211 4083633 4690279369 14070838107 42212514321