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231513450034041 = 347267409865321
BaseRepresentation
bin110100101000111101101100…
…111100110011001101111001
31010100201110200101120110220000
4310220331230330303031321
5220321104021202042131
62140215451035223213
766523203054030600
oct6450755474631571
91110643611513800
10231513450034041
11678493370013aa
1221b70a35ba7b09
139c248174c5746
14412544ca72a37
151bb72e1e0cce6
hexd28f6cf33379

231513450034041 has 60 divisors (see below), whose sum is σ = 402311362469940. Its totient is φ = 132291284590080.

The previous prime is 231513450033937. The next prime is 231513450034099. The reversal of 231513450034041 is 140430054315132.

231513450034041 is a `hidden beast` number, since 2 + 3 + 1 + 51 + 34 + 500 + 34 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67821154329600 + 163692295704441 = 8235360^2 + 12794229^2 .

It is not a de Polignac number, because 231513450034041 - 211 = 231513450031993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231513450033987 and 231513450034005.

It is not an unprimeable number, because it can be changed into a prime (231513454034041) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 267113661 + ... + 267978981.

It is an arithmetic number, because the mean of its divisors is an integer number (6705189374499).

Almost surely, 2231513450034041 is an apocalyptic number.

231513450034041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

231513450034041 is a deficient number, since it is larger than the sum of its proper divisors (170797912435899).

231513450034041 is an equidigital number, since it uses as much as digits as its factorization.

231513450034041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932756 (or 932740 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 231513450034041 in words is "two hundred thirty-one trillion, five hundred thirteen billion, four hundred fifty million, thirty-four thousand, forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 67409 202227 471863 606681 865321 1415589 1820043 2595963 3303041 4246767 5460129 6057247 7787889 9909123 12740301 18171741 23363667 29727369 38220903 42400729 54515223 70091001 89182107 127202187 163545669 267546321 381606561 490637007 1144819683 3434459049 58330423289 174991269867 408312963023 524973809601 1224938889069 1574921428803 2858190741161 3674816667207 4724764286409 8574572223483 11024450001621 25723716670449 33073350004863 77171150011347 231513450034041