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13418281431 = 3210388716319
BaseRepresentation
bin11000111111100101…
…01011100111010111
31021122010212022201100
430133302223213113
5204440040001211
610055252201143
7653342340012
oct143762534727
937563768640
1013418281431
1157662a7495
1227259091b3
13135ac443c9
1491412c379
15538027156
hex31fcab9d7

13418281431 has 24 divisors (see below), whose sum is σ = 19593400320. Its totient is φ = 8848141776.

The previous prime is 13418281427. The next prime is 13418281439.

13418281431 is a `hidden beast` number, since 1 + 341 + 8 + 281 + 4 + 31 = 666.

13418281431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13418281431 - 22 = 13418281427 is a prime.

It is a super-2 number, since 2×134182814312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13418281439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814090 + ... + 830408.

It is an arithmetic number, because the mean of its divisors is an integer number (816391680).

Almost surely, 213418281431 is an apocalyptic number.

13418281431 is a deficient number, since it is larger than the sum of its proper divisors (6175118889).

13418281431 is a wasteful number, since it uses less digits than its factorization.

13418281431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17315 (or 17312 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

It can be divided in two parts, 13418 and 281431, that added together give a square (294849 = 5432).

The spelling of 13418281431 in words is "thirteen billion, four hundred eighteen million, two hundred eighty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 103 309 887 927 2661 7983 16319 48957 91361 146871 274083 822249 1680857 5042571 14474953 15127713 43424859 130274577 1490920159 4472760477 13418281431