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14224002140124 = 22327592131744879
BaseRepresentation
bin1100111011111100100010…
…0110000100011111011100
31212100210122011110200122200
43032333020212010133130
53331021224021440444
650130225534211500
72665436014210350
oct316771046043734
955323564420580
1014224002140124
114594402430a27
121718859653b90
137c2418b3b5aa
14372634185460
15199eeb637969
hexcefc89847dc

14224002140124 has 144 divisors (see below), whose sum is σ = 41790920371200. Its totient is φ = 3994842814848.

The previous prime is 14224002140071. The next prime is 14224002140143. The reversal of 14224002140124 is 42104120042241.

14224002140124 is a `hidden beast` number, since 1 + 4 + 22 + 400 + 214 + 0 + 1 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316918717 + ... + 316963595.

It is an arithmetic number, because the mean of its divisors is an integer number (290214724800).

Almost surely, 214224002140124 is an apocalyptic number.

14224002140124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224002140124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20895460185600).

14224002140124 is an abundant number, since it is smaller than the sum of its proper divisors (27566918231076).

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

14224002140124 is a wasteful number, since it uses less digits than its factorization.

14224002140124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66272 (or 66267 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14224002140124 its reverse (42104120042241), we get a palindrome (56328122182365).

The spelling of 14224002140124 in words is "fourteen trillion, two hundred twenty-four billion, two million, one hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 14868 21317 42634 44879 63951 85268 89758 127902 134637 149219 179516 191853 255804 269274 298438 314153 383706 403911 447657 538548 596876 628306 767412 807822 895314 942459 1256612 1257703 1342971 1615644 1790628 1884918 2515406 2647861 2685942 2827377 3769836 3773109 5030812 5295722 5371884 5654754 7546218 7943583 8803921 10591444 11309508 11319327 15092436 15887166 17607842 18535027 22638654 23830749 26411763 31774332 35215684 37070054 45277308 47661498 52823526 55605081 74140108 79235289 95322996 105647052 111210162 158470578 166815243 222420324 316941156 333630486 667260972 956685643 1913371286 2870056929 3826742572 5740113858 6696799501 8610170787 11480227716 13393599002 17220341574 20090398503 26787198004 34440683148 40180797006 56444452937 60271195509 80361594012 112888905874 120542391018 169333358811 225777811748 241084782036 338666717622 395111170559 508000076433 677333435244 790222341118 1016000152866 1185333511677 1580444682236 2032000305732 2370667023354 3556000535031 4741334046708 7112001070062 14224002140124