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4280106444327 = 337311395255527
BaseRepresentation
bin111110010010001010001…
…110010110011000100111
3120011011200222101101121000
4332102022032112120213
51030111124222204302
613034130451124343
7621141012334050
oct76221216263047
916134628341530
104280106444327
11140020156206a
1259161aba36b3
132507c630b50c
1410b230387727
1576506e2731c
hex3e48a396627

4280106444327 has 64 divisors (see below), whose sum is σ = 7534324940800. Its totient is φ = 2349850785120.

The previous prime is 4280106444301. The next prime is 4280106444371. The reversal of 4280106444327 is 7234446010824.

4280106444327 is a `hidden beast` number, since 4 + 2 + 80 + 106 + 4 + 443 + 27 = 666.

4280106444327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4280106444327 - 211 = 4280106442279 is a prime.

It is a super-2 number, since 2×42801064443272 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280106444377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1813363 + ... + 3442164.

It is an arithmetic number, because the mean of its divisors is an integer number (117723827200).

Almost surely, 24280106444327 is an apocalyptic number.

4280106444327 is a deficient number, since it is larger than the sum of its proper divisors (3254218496473).

4280106444327 is a wasteful number, since it uses less digits than its factorization.

4280106444327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255713 (or 5255707 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4280106444327 in words is "four trillion, two hundred eighty billion, one hundred six million, four hundred forty-four thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 21 27 31 63 93 139 189 217 279 417 651 837 973 1251 1953 2919 3753 4309 5859 8757 12927 26271 30163 38781 90489 116343 271467 814401 5255527 15766581 36788689 47299743 110366067 141899229 162921337 331098201 488764011 730518253 993294603 1140449359 1466292033 2191554759 3421348077 4398876099 5113627771 6574664277 10264044231 15340883313 19723992831 22646065843 30792132693 46022649939 67938197529 138067949817 158522460901 203814592587 475567382703 611443777761 1426702148109 4280106444327