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14224013554842 = 2337135861493873
BaseRepresentation
bin1100111011111100100101…
…0001100111010010011010
31212100210122221221121201000
43032333021101213102122
53331021234432223332
650130231023005430
72665436213221410
oct316771121472232
955323587847630
1014224013554842
114594408917a83
121718861439876
137c241b307070
143726358b72b0
15199eec63eb7c
hexcefc946749a

14224013554842 has 128 divisors (see below), whose sum is σ = 38910001374720. Its totient is φ = 3750740536320.

The previous prime is 14224013554801. The next prime is 14224013554843. The reversal of 14224013554842 is 24845531042241.

14224013554842 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 4 + 0 + 13 + 554 + 84 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (14224013554843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28554018 + ... + 29047890.

It is an arithmetic number, because the mean of its divisors is an integer number (303984385740).

Almost surely, 214224013554842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224013554842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19455000687360).

14224013554842 is an abundant number, since it is smaller than the sum of its proper divisors (24685987819878).

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

14224013554842 is a wasteful number, since it uses less digits than its factorization.

14224013554842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499765 (or 499759 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 14224013554842 in words is "fourteen trillion, two hundred twenty-four billion, thirteen million, five hundred fifty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 5861 11722 17583 35166 41027 52749 76193 82054 105498 123081 152386 158247 228579 246162 316494 369243 457158 493873 533351 685737 738486 987746 1066702 1107729 1371474 1481619 1600053 2057211 2215458 2963238 3200106 3457111 4114422 4444857 4800159 6420349 6914222 8889714 9600318 10371333 12840698 13334571 14400477 19261047 20742666 26669142 28800954 31113999 38522094 44942443 57783141 62227998 89884886 93341997 115566282 134827329 173349423 186683994 269654658 346698846 404481987 808963974 1213445961 2426891922 2894589653 5789179306 8683768959 17367537918 20262127571 26051306877 37629665489 40524255142 52102613754 60786382713 75259330978 78153920631 112888996467 121572765426 156307841262 182359148139 225777992934 263407658423 338666989401 364718296278 526815316846 547077444417 677333978802 790222975269 1016000968203 1094154888834 1580445950538 2032001936406 2370668925807 4741337851614 7112006777421 14224013554842