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4130115441 = 383197269313
BaseRepresentation
bin1111011000101100…
…1000111101110001
3101122211112121021120
43312023020331301
531424302143231
61521454412453
7204230254614
oct36613107561
911584477246
104130115441
11182a384951
12973201129
1350a87a8ba
142b274417b
151928c7d96
hexf62c8f71

4130115441 has 32 divisors (see below), whose sum is σ = 5640243840. Its totient is φ = 2687752704.

The previous prime is 4130115433. The next prime is 4130115449. The reversal of 4130115441 is 1445110314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4130115433) and next prime (4130115449).

It is not a de Polignac number, because 4130115441 - 23 = 4130115433 is a prime.

It is a super-3 number, since 3×41301154413 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4130115449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13195101 + ... + 13195413.

It is an arithmetic number, because the mean of its divisors is an integer number (176257620).

Almost surely, 24130115441 is an apocalyptic number.

It is an amenable number.

4130115441 is a deficient number, since it is larger than the sum of its proper divisors (1510128399).

4130115441 is a wasteful number, since it uses less digits than its factorization.

4130115441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 4130115441 is about 64265.9742087522. The cubic root of 4130115441 is about 1604.4298387252.

Adding to 4130115441 its reverse (1445110314), we get a palindrome (5575225755).

The spelling of 4130115441 in words is "four billion, one hundred thirty million, one hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 83 197 249 269 313 591 807 939 16351 22327 25979 49053 52993 61661 66981 77937 84197 158979 184983 252591 4398419 5117863 6988351 13195257 15353589 16586809 20965053 49760427 1376705147 4130115441