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14070229446 = 23713129119961
BaseRepresentation
bin11010001101010011…
…01010100111000110
31100022120121201021010
431012221222213012
5212303434320241
610244101503050
71005446656050
oct150651524706
940276551233
1014070229446
115a703066a9
122888111a86
13143302ac70
149769588d0
155753a6d16
hex346a6a9c6

14070229446 has 64 divisors (see below), whose sum is σ = 34662974976. Its totient is φ = 3707769600.

The previous prime is 14070229421. The next prime is 14070229487. The reversal of 14070229446 is 64492207041.

14070229446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 694906 + ... + 714866.

It is an arithmetic number, because the mean of its divisors is an integer number (541608984).

Almost surely, 214070229446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14070229446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17331487488).

14070229446 is an abundant number, since it is smaller than the sum of its proper divisors (20592745530).

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

14070229446 is a wasteful number, since it uses less digits than its factorization.

14070229446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21277.

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 14070229446 in words is "fourteen billion, seventy million, two hundred twenty-nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1291 2582 3873 7746 9037 16783 18074 19961 27111 33566 39922 50349 54222 59883 100698 117481 119766 139727 234962 259493 279454 352443 419181 518986 704886 778479 838362 1556958 1816451 3632902 5449353 10898706 25769651 51539302 77308953 154617906 180387557 335005463 360775114 541162671 670010926 1005016389 1082325342 2010032778 2345038241 4690076482 7035114723 14070229446