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14101231411431 = 335388871108823
BaseRepresentation
bin1100110100110011001011…
…1000111010000011100111
31211221001202001200110221000
43031030302320322003213
53322013310220131211
645554003303324343
72653531442221623
oct315146270720347
954831661613830
1014101231411431
11454733157138a
1216b8ab5a506b3
137b39819053b8
1436a708c78183
15196c132ca656
hexcd332e3a0e7

14101231411431 has 32 divisors (see below), whose sum is σ = 21287291857920. Its totient is φ = 9222400785312.

The previous prime is 14101231411429. The next prime is 14101231411469. The reversal of 14101231411431 is 13411413210141.

14101231411431 is a `hidden beast` number, since 1 + 4 + 10 + 1 + 231 + 411 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 14101231411431 - 21 = 14101231411429 is a prime.

It is a super-2 number, since 2×141012314114312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14101231411395 and 14101231411404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101231411231) 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 31 ways as a sum of consecutive naturals, for example, 12162886 + ... + 13271708.

It is an arithmetic number, because the mean of its divisors is an integer number (665227870560).

Almost surely, 214101231411431 is an apocalyptic number.

14101231411431 is a deficient number, since it is larger than the sum of its proper divisors (7186060446489).

14101231411431 is a wasteful number, since it uses less digits than its factorization.

14101231411431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117772 (or 1117766 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 14101231411431 its reverse (13411413210141), we get a palindrome (27512644621572).

The spelling of 14101231411431 in words is "fourteen trillion, one hundred one billion, two hundred thirty-one million, four hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 9 27 53 159 477 1431 8887 26661 79983 239949 471011 1108823 1413033 3326469 4239099 9979407 12717297 29938221 58767619 176302857 528908571 1586725713 9854110001 29562330003 88686990009 266060970027 522267830053 1566803490159 4700410470477 14101231411431