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14031402024321 = 3211242199730697
BaseRepresentation
bin1100110000101111000010…
…1110111011110110000001
31211200101111112101001221100
43030023300232323312001
53314342302404234241
645501534225245013
72645510136222633
oct314136056736601
954611445331840
1014031402024321
11451a758710300
1216a7468193769
137aa203926026
143671a2b94a53
15194ec7b6b9b6
hexcc2f0bbbd81

14031402024321 has 72 divisors (see below), whose sum is σ = 22353630469352. Its totient is φ = 8474895475200.

The previous prime is 14031402024307. The next prime is 14031402024329. The reversal of 14031402024321 is 12342020413041.

14031402024321 is a `hidden beast` number, since 1 + 4 + 0 + 314 + 0 + 2 + 0 + 24 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 654080625 + 14030747943696 = 25575^2 + 3745764^2 .

It is not a de Polignac number, because 14031402024321 - 29 = 14031402023809 is a prime.

It is a super-2 number, since 2×140314020243212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14031402024329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457078245 + ... + 457108941.

Almost surely, 214031402024321 is an apocalyptic number.

14031402024321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14031402024321 is a deficient number, since it is larger than the sum of its proper divisors (8322228445031).

14031402024321 is a wasteful number, since it uses less digits than its factorization.

14031402024321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32143 (or 32129 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14031402024321 its reverse (12342020413041), we get a palindrome (26373422437362).

The spelling of 14031402024321 in words is "fourteen trillion, thirty-one billion, four hundred two million, twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 421 997 1089 1263 2991 3789 4631 8973 10967 13893 30697 32901 41679 50941 92091 98703 120637 152823 276273 337667 361911 419737 458469 1013001 1085733 1259211 3039003 3714337 3777633 4617107 11143011 12923437 13851321 30604909 33429033 38770311 41553963 50788177 91814727 116310933 142157807 152364531 275444181 336653999 426473421 457093593 1009961997 1279420263 1563735877 3029885991 3703193989 4691207631 11109581967 12884666689 14073622893 33328745901 38654000067 115962000201 141731333579 425194000737 1275582002211 1559044669369 4677134008107 14031402024321