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405134147101 = 412733301477
BaseRepresentation
bin1011110010100111110…
…00000111111000011101
31102201201111101001210011
411321103320013320131
523114203320201401
6510041022443221
741161413300625
oct5712370077035
91381644331704
10405134147101
111468a8734082
1266626733511
132c2862081c8
1415873dc3885
15a8124ec451
hex5e53e07e1d

405134147101 has 12 divisors (see below), whose sum is σ = 420945047956. Its totient is φ = 389838286080.

The previous prime is 405134147057. The next prime is 405134147111. The reversal of 405134147101 is 101741431504.

It can be written as a sum of positive squares in 6 ways, for example, as 174662141476 + 230472005625 = 417926^2 + 480075^2 .

It is not a de Polignac number, because 405134147101 - 237 = 267695193629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405134147111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1528026 + ... + 1773451.

Almost surely, 2405134147101 is an apocalyptic number.

405134147101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

405134147101 is a deficient number, since it is larger than the sum of its proper divisors (15810900855).

405134147101 is an equidigital number, since it uses as much as digits as its factorization.

405134147101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301632 (or 3301591 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 405134147101 its reverse (101741431504), we get a palindrome (506875578605).

The spelling of 405134147101 in words is "four hundred five billion, one hundred thirty-four million, one hundred forty-seven thousand, one hundred one".

Divisors: 1 41 73 1681 2993 122713 3301477 135360557 241007821 5549782837 9881320661 405134147101