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14223126164 = 22131095774349
BaseRepresentation
bin11010011111100001…
…11010111010010100
31100201020022200010112
431033300322322110
5213112110014124
610311202542152
71012314402062
oct151760727224
940636280115
1014223126164
116039647225
12290b367958
1314589024b0
1498cd99032
15583a0990e
hex34fc3ae94

14223126164 has 48 divisors (see below), whose sum is σ = 27104154000. Its totient is φ = 6491529216.

The previous prime is 14223126133. The next prime is 14223126263. The reversal of 14223126164 is 46162132241.

It can be written as a sum of positive squares in 8 ways, for example, as 52128400 + 14170997764 = 7220^2 + 119042^2 .

It is a super-2 number, since 2×142231261642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14223126164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3268262 + ... + 3272610.

It is an arithmetic number, because the mean of its divisors is an integer number (564669875).

Almost surely, 214223126164 is an apocalyptic number.

It is an amenable number.

14223126164 is a deficient number, since it is larger than the sum of its proper divisors (12881027836).

14223126164 is a wasteful number, since it uses less digits than its factorization.

14223126164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5050 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 14223126164 in words is "fourteen billion, two hundred twenty-three million, one hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 52 109 218 436 577 1154 1417 2308 2834 4349 5668 7501 8698 15002 17396 30004 56537 62893 113074 125786 226148 251572 474041 817609 948082 1635218 1896164 2509373 3270436 5018746 6162533 10037492 12325066 24650132 32621849 65243698 130487396 273521657 547043314 1094086628 3555781541 7111563082 14223126164