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414411141241 = 25711531398521
BaseRepresentation
bin1100000011111001101…
…01000011000001111001
31110121200000200012022201
412001330311003001321
523242203223004431
6514213340550201
741640331403026
oct6017465030171
91417600605281
10414411141241
1114a829316089
1268395552361
133010418c956
14160b410054d
15aba6b91461
hex607cd43079

414411141241 has 8 divisors (see below), whose sum is σ = 416384752104. Its totient is φ = 412440330240.

The previous prime is 414411141239. The next prime is 414411141247. The reversal of 414411141241 is 142141114414.

It can be written as a sum of positive squares in 4 ways, for example, as 152877090025 + 261534051216 = 390995^2 + 511404^2 .

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 414411141241 - 21 = 414411141239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414411141247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402940 + ... + 995581.

It is an arithmetic number, because the mean of its divisors is an integer number (52048094013).

Almost surely, 2414411141241 is an apocalyptic number.

It is an amenable number.

414411141241 is a deficient number, since it is larger than the sum of its proper divisors (1973610863).

414411141241 is a wasteful number, since it uses less digits than its factorization.

414411141241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399931.

The product of its digits is 2048, while the sum is 28.

Adding to 414411141241 its reverse (142141114414), we get a palindrome (556552255655).

The spelling of 414411141241 in words is "four hundred fourteen billion, four hundred eleven million, one hundred forty-one thousand, two hundred forty-one".

Divisors: 1 257 1153 296321 1398521 359419897 1612494713 414411141241