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131414422214141 = 1141291384528191
BaseRepresentation
bin11101111000010101001101…
…111101000101010111111101
3122020022002121000221110201222
4131320111031331011113331
5114211043214041323031
61143254541354443125
736452243614152203
oct3570251575052775
9566262530843658
10131414422214141
11389665a8411460
12128a4bb41334a5
1358434330b9681
1424646c5d89073
15102d5cd93be7b
hex77854df455fd

131414422214141 has 8 divisors (see below), whose sum is σ = 146857802208768. Its totient is φ = 116553811276000.

The previous prime is 131414422214129. The next prime is 131414422214149. The reversal of 131414422214141 is 141412224414131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131414422214141 - 210 = 131414422213117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414422214149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145692263645 + ... + 145692264546.

It is an arithmetic number, because the mean of its divisors is an integer number (18357225276096).

Almost surely, 2131414422214141 is an apocalyptic number.

131414422214141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131414422214141 is a deficient number, since it is larger than the sum of its proper divisors (15443379994627).

131414422214141 is a wasteful number, since it uses less digits than its factorization.

131414422214141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291384528243.

The product of its digits is 24576, while the sum is 35.

Adding to 131414422214141 its reverse (141412224414131), we get a palindrome (272826646628272).

The spelling of 131414422214141 in words is "one hundred thirty-one trillion, four hundred fourteen billion, four hundred twenty-two million, two hundred fourteen thousand, one hundred forty-one".

Divisors: 1 11 41 451 291384528191 3205229810101 11946765655831 131414422214141