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14042022243444 = 223213258411161113
BaseRepresentation
bin1100110001010110100110…
…1111110110110001110100
31211201101220200012002202100
43030111221233312301310
53320031030143242234
645510452125342100
72646334254464616
oct314255157666164
954641820162670
1014042022243444
1145242085330a8
1216a9530a07930
137ab206c6b160
143678cd444db6
151953ea1dd399
hexcc569bf6c74

14042022243444 has 72 divisors (see below), whose sum is σ = 38227017176712. Its totient is φ = 4320451307520.

The previous prime is 14042022243401. The next prime is 14042022243449. The reversal of 14042022243444 is 44434222024041.

14042022243444 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 202 + 2 + 2 + 4 + 3 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 377081964900 + 13664940278544 = 614070^2 + 3696612^2 .

It is a super-2 number, since 2×140420222434442 (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 = 14042022243399 and 14042022243408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042022243449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11513032 + ... + 12674144.

It is an arithmetic number, because the mean of its divisors is an integer number (530930794121).

Almost surely, 214042022243444 is an apocalyptic number.

It is an amenable number.

14042022243444 is an abundant number, since it is smaller than the sum of its proper divisors (24184994933268).

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

14042022243444 is a wasteful number, since it uses less digits than its factorization.

14042022243444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186977 (or 1186972 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 14042022243444 its reverse (44434222024041), we get a palindrome (58476244267485).

The spelling of 14042022243444 in words is "fourteen trillion, forty-two billion, twenty-two million, two hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 25841 51682 77523 103364 155046 232569 310092 335933 465138 671866 930276 1007799 1161113 1343732 2015598 2322226 3023397 3483339 4031196 4644452 6046794 6966678 10450017 12093588 13933356 15094469 20900034 30188938 41800068 45283407 60377876 90566814 135850221 181133628 271700442 543400884 30004321033 60008642066 90012963099 120017284132 180025926198 270038889297 360051852396 390056173429 540077778594 780112346858 1080155557188 1170168520287 1560224693716 2340337040574 3510505560861 4680674081148 7021011121722 14042022243444