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14022134313444 = 223223105116113173
BaseRepresentation
bin1100110000001100100001…
…0101011011000111100100
31211122111120122112120122100
43030003020111123013210
53314214312341012234
645453402442132100
72645031363043455
oct314031025330744
954574518476570
1014022134313444
114516832299a14
1216a57004b1030
137a9387871b3a
14366963db312c
15194b3420d399
hexcc0c855b1e4

14022134313444 has 72 divisors (see below), whose sum is σ = 37021112960832. Its totient is φ = 4466571278400.

The previous prime is 14022134313409. The next prime is 14022134313457. The reversal of 14022134313444 is 44431343122041.

14022134313444 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 213 + 431 + 3 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×140221343134442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14022134313399 and 14022134313408.

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 23 ways as a sum of consecutive naturals, for example, 7186359 + ... + 8926814.

It is an arithmetic number, because the mean of its divisors is an integer number (514182124456).

Almost surely, 214022134313444 is an apocalyptic number.

It is an amenable number.

14022134313444 is an abundant number, since it is smaller than the sum of its proper divisors (22998978647388).

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

14022134313444 is a wasteful number, since it uses less digits than its factorization.

14022134313444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16114257 (or 16114252 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14022134313444 its reverse (44431343122041), we get a palindrome (58453477435485).

The spelling of 14022134313444 in words is "fourteen trillion, twenty-two billion, one hundred thirty-four million, three hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1051 2102 3153 4204 6306 9459 12612 18918 24173 37836 48346 72519 96692 145038 217557 290076 435114 870228 16113173 32226346 48339519 64452692 96679038 145018557 193358076 290037114 370602979 580074228 741205958 1111808937 1482411916 2223617874 3335426811 4447235748 6670853622 13341707244 16934944823 33869889646 50804834469 67739779292 101609668938 152414503407 203219337876 304829006814 389503730929 609658013628 779007461858 1168511192787 1558014923716 2337022385574 3505533578361 4674044771148 7011067156722 14022134313444