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14224100140422 = 23217596471217719
BaseRepresentation
bin1100111011111100111001…
…1011111010010110000110
31212100210212222212121210100
43032333032123322112012
53331021424113443142
650130243354504530
72665441314203454
oct316771633722606
955323788777710
1014224100140422
114594452787007
121718886435146
137c2433231b33
143726431b59d4
1519a005044b4c
hexcefce6fa586

14224100140422 has 96 divisors (see below), whose sum is σ = 33236157427200. Its totient is φ = 4380043970304.

The previous prime is 14224100140399. The next prime is 14224100140427. The reversal of 14224100140422 is 22404100142241.

14224100140422 is a `hidden beast` number, since 1 + 4 + 224 + 1 + 0 + 0 + 14 + 0 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224100140427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11072079 + ... + 12289797.

It is an arithmetic number, because the mean of its divisors is an integer number (346209973200).

Almost surely, 214224100140422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224100140422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16618078713600).

14224100140422 is an abundant number, since it is smaller than the sum of its proper divisors (19012057286778).

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

14224100140422 is a wasteful number, since it uses less digits than its factorization.

14224100140422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218450 (or 1218447 counting only the distinct ones).

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

Adding to 14224100140422 its reverse (22404100142241), we get a palindrome (36628200282663).

The spelling of 14224100140422 in words is "fourteen trillion, two hundred twenty-four billion, one hundred million, one hundred forty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 647 1003 1062 1294 1941 2006 3009 3882 5823 6018 9027 10999 11646 18054 21998 32997 38173 65994 76346 98991 114519 197982 229038 343557 648941 687114 1217719 1297882 1946823 2435438 3653157 3893646 5840469 7306314 10959471 11680938 20701223 21918942 41402446 62103669 71845421 124207338 143690842 186311007 215536263 372622014 431072526 646608789 787864193 1221372157 1293217578 1575728386 2363592579 2442744314 3664116471 4727185158 7090777737 7328232942 10992349413 13393691281 14181555474 21984698826 26787382562 40181073843 46483987387 80362147686 92967974774 120543221529 139451962161 241086443058 278903924322 418355886483 790227785579 836711772966 1580455571158 2370683356737 4741366713474 7112050070211 14224100140422