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14331314124401 = 2937173739104471
BaseRepresentation
bin1101000010001100010011…
…1000110011011001110001
31212202001121220220022122212
43100203010320303121301
53334301012403440101
650251414222341505
73006255216060311
oct320430470633161
955661556808585
1014331314124401
11462597023003a
12173560812a895
137cc58b489841
143778d4375441
1519cbcc7661bb
hexd08c4e33671

14331314124401 has 32 divisors (see below), whose sum is σ = 15335068780800. Its totient is φ = 13367091951360.

The previous prime is 14331314124377. The next prime is 14331314124433. The reversal of 14331314124401 is 10442141313341.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14331314124401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14331314124901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137127596 + ... + 137232066.

It is an arithmetic number, because the mean of its divisors is an integer number (479220899400).

Almost surely, 214331314124401 is an apocalyptic number.

It is an amenable number.

14331314124401 is a deficient number, since it is larger than the sum of its proper divisors (1003754656399).

14331314124401 is a wasteful number, since it uses less digits than its factorization.

14331314124401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105449.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 14331314124401 its reverse (10442141313341), we get a palindrome (24773455437742).

The spelling of 14331314124401 in words is "fourteen trillion, three hundred thirty-one billion, three hundred fourteen million, one hundred twenty-four thousand, four hundred one".

Divisors: 1 29 37 173 739 1073 5017 6401 21431 27343 104471 127847 185629 792947 3029659 3707563 3865427 4730339 18073483 77204069 112097383 137179831 524131007 668718871 2238918001 2856550553 13356303937 19392847259 82839966037 387332814173 494183245669 14331314124401