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14234043400031 = 7131943613138593
BaseRepresentation
bin1100111100100001111100…
…0110011011111101011111
31212101202112221212112201202
43033020133012123331133
53331202310102300111
650135010153230115
72666242602415520
oct317103706337537
955352487775652
1014234043400031
114598695467134
12171a7a040233b
137c3359243bc0
14372d079a8847
1519a3d7e45b3b
hexcf21f19bf5f

14234043400031 has 64 divisors (see below), whose sum is σ = 19179069127680. Its totient is φ = 10250390384640.

The previous prime is 14234043400001. The next prime is 14234043400063. The reversal of 14234043400031 is 13000434043241.

It is a happy number.

It is not a de Polignac number, because 14234043400031 - 230 = 14232969658207 is a prime.

It is a super-2 number, since 2×142340434000312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14234043399967 and 14234043400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14234043400001) 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, 2965871 + ... + 6104463.

It is an arithmetic number, because the mean of its divisors is an integer number (299672955120).

Almost surely, 214234043400031 is an apocalyptic number.

14234043400031 is a deficient number, since it is larger than the sum of its proper divisors (4945025727649).

14234043400031 is a wasteful number, since it uses less digits than its factorization.

14234043400031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138736.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 14234043400031 its reverse (13000434043241), we get a palindrome (27234477443272).

The spelling of 14234043400031 in words is "fourteen trillion, two hundred thirty-four billion, forty-three million, four hundred thousand, thirty-one".

Divisors: 1 7 13 19 43 61 91 133 247 301 427 559 793 817 1159 1729 2623 3913 5551 5719 8113 10621 15067 18361 34099 49837 74347 105469 238693 348859 647881 3138593 4535167 21970151 40801709 59633267 134959499 191454173 285611963 417432869 775232471 944716493 1340179211 1754473487 2488904249 2564230481 3637629287 5426627297 8232529439 12281314409 17422329743 17949613367 25463405009 33334996253 47289180731 57627706073 107022882707 156418059341 233344973771 331024265117 749160178949 1094926415387 2033434771433 14234043400031