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14042114121222 = 23311591632458139
BaseRepresentation
bin1100110001010110111100…
…1110010101111000000110
31211201102011002001222101000
43030111233032111320012
53320031222203334342
645510505210514130
72646336451441065
oct314255716257006
954642132058330
1014042114121222
114524255387250
1216a9557735946
137ab21ccc99c5
143678db7201dc
151954032db44c
hexcc56f395e06

14042114121222 has 128 divisors (see below), whose sum is σ = 34830860544000. Its totient is φ = 4157399636640.

The previous prime is 14042114121209. The next prime is 14042114121311. The reversal of 14042114121222 is 22212141124041.

14042114121222 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 21 + 1 + 412 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4483429 + ... + 6941567.

It is an arithmetic number, because the mean of its divisors is an integer number (272116098000).

Almost surely, 214042114121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042114121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415430272000).

14042114121222 is an abundant number, since it is smaller than the sum of its proper divisors (20788746422778).

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

14042114121222 is a wasteful number, since it uses less digits than its factorization.

14042114121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458383 (or 2458377 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14042114121222 its reverse (22212141124041), we get a palindrome (36254255245263).

The spelling of 14042114121222 in words is "fourteen trillion, forty-two billion, one hundred fourteen million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 163 177 198 297 326 354 489 531 594 649 978 1062 1298 1467 1593 1793 1947 2934 3186 3586 3894 4401 5379 5841 8802 9617 10758 11682 16137 17523 19234 28851 32274 35046 48411 57702 86553 96822 105787 173106 211574 259659 317361 519318 634722 952083 1904166 2458139 2856249 4916278 5712498 7374417 14748834 22123251 27039529 44246502 54079058 66369753 81118587 132739506 145030201 162237174 243355761 290060402 400676657 435090603 486711522 730067283 801353314 870181206 1202029971 1305271809 1460134566 1595332211 2404059942 2610543618 3190664422 3606089913 3915815427 4407443227 4785996633 7212179826 7831630854 8814886454 9571993266 10818269739 13222329681 14357989899 21636539478 23639922763 26444659362 28715979798 39666989043 43073969697 47279845526 70919768289 79333978086 86147939394 119000967129 141839536578 212759304867 238001934258 260039150393 425518609734 520078300786 638277914601 780117451179 1276555829202 1560234902358 2340352353537 4680704707074 7021057060611 14042114121222