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2014443414 = 232297095443
BaseRepresentation
bin111100000010001…
…1111011110010110
312012101112022212100
41320010133132112
513111144142124
6531520302530
7100630325604
oct17004373626
95171468770
102014443414
11944112175
12482771a46
13261463569
14151778874
15bbcb71c9
hex7811f796

2014443414 has 48 divisors (see below), whose sum is σ = 4522330800. Its totient is φ = 647293248.

The previous prime is 2014443413. The next prime is 2014443419. The reversal of 2014443414 is 4143444102.

2014443414 is a `hidden beast` number, since 201 + 4 + 4 + 43 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014443413) 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 23 ways as a sum of consecutive naturals, for example, 367377 + ... + 372819.

It is an arithmetic number, because the mean of its divisors is an integer number (94215225).

Almost surely, 22014443414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014443414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261165400).

2014443414 is an abundant number, since it is smaller than the sum of its proper divisors (2507887386).

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

2014443414 is a wasteful number, since it uses less digits than its factorization.

2014443414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2014443414 is about 44882.5513312245. The cubic root of 2014443414 is about 1262.9467049652.

Adding to 2014443414 its reverse (4143444102), we get a palindrome (6157887516).

The spelling of 2014443414 in words is "two billion, fourteen million, four hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 709 1418 2127 4254 5443 6381 10886 12762 16329 20561 32658 41122 48987 61683 97974 123366 157847 185049 315694 370098 473541 947082 1420623 2841246 3859087 7718174 11577261 23154522 34731783 69463566 111913523 223827046 335740569 671481138 1007221707 2014443414