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14042153454342 = 23131724871279123
BaseRepresentation
bin1100110001010111000110…
…0100011000101100000110
31211201102020211002022021020
43030111301210120230012
53320031312241014332
645510513133532010
72646340436660646
oct314256144305406
954642224068236
1014042153454342
114524275601862
1216a9568944006
137ab2281bbb40
14367902a3c526
151954069aa82c
hexcc571918b06

14042153454342 has 96 divisors (see below), whose sum is σ = 32194384518912. Its totient is φ = 4058152690176.

The previous prime is 14042153454283. The next prime is 14042153454353. The reversal of 14042153454342 is 24345435124041.

It is a junction number, because it is equal to n+sod(n) for n = 14042153454294 and 14042153454303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10338393 + ... + 11617515.

It is an arithmetic number, because the mean of its divisors is an integer number (335358172072).

Almost surely, 214042153454342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042153454342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16097192259456).

14042153454342 is an abundant number, since it is smaller than the sum of its proper divisors (18152231064570).

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

14042153454342 is a wasteful number, since it uses less digits than its factorization.

14042153454342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279662 (or 1279645 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 14042153454342 its reverse (24345435124041), we get a palindrome (38387588578383).

The spelling of 14042153454342 in words is "fourteen trillion, forty-two billion, one hundred fifty-three million, four hundred fifty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 487 578 663 867 974 1326 1461 1734 2922 3757 6331 7514 8279 11271 12662 16558 18993 22542 24837 37986 49674 107627 140743 215254 281486 322881 422229 645762 844458 1279123 1829659 2558246 3659318 3837369 5488977 7674738 10977954 16628599 21745091 33257198 43490182 49885797 65235273 99771594 130470546 282686183 369666547 565372366 622932901 739333094 848058549 1108999641 1245865802 1696117098 1868798703 2217999282 3737597406 4805665111 8098127713 9611330222 10589859317 14416995333 16196255426 21179718634 24294383139 28833990666 31769577951 48588766278 63539155902 137668171121 180027608389 275336342242 360055216778 413004513363 540082825167 826009026726 1080165650334 2340358909057 4680717818114 7021076727171 14042153454342