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1431552551341 = 112531997111781
BaseRepresentation
bin10100110101001111001…
…011100110100110101101
312001212002100200110220111
4110311033023212212231
5141423304423120331
63013351323220021
7205266130625443
oct24651713464655
95055070613814
101431552551341
11502133105100
121b1540077611
13a4cc18309b3
144d404d16b93
1527388213db1
hex14d4f2e69ad

1431552551341 has 24 divisors (see below), whose sum is σ = 1604031011352. Its totient is φ = 1276205673600.

The previous prime is 1431552551323. The next prime is 1431552551431.

1431552551341 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 380201726025 + 1051350825316 = 616605^2 + 1025354^2 .

It is not a de Polignac number, because 1431552551341 - 227 = 1431418333613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1431552551294 and 1431552551303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431552551311) 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 23 ways as a sum of consecutive naturals, for example, 12750871 + ... + 12862651.

It is an arithmetic number, because the mean of its divisors is an integer number (66834625473).

Almost surely, 21431552551341 is an apocalyptic number.

1431552551341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1431552551341 is a deficient number, since it is larger than the sum of its proper divisors (172478460011).

1431552551341 is a wasteful number, since it uses less digits than its factorization.

1431552551341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113853 (or 113842 counting only the distinct ones).

The product of its digits is 180000, while the sum is 40.

The spelling of 1431552551341 in words is "one trillion, four hundred thirty-one billion, five hundred fifty-two million, five hundred fifty-one thousand, three hundred forty-one".

Divisors: 1 11 53 121 583 1997 6413 21967 105841 111781 241637 1164251 1229591 5924393 12806761 13525501 65168323 223226657 716851553 2455493227 11831012821 27010425497 130141141031 1431552551341