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4124002441 = 131446121937
BaseRepresentation
bin1111010111001111…
…0100100010001001
3101122102001000211011
43311303310202021
531421221034231
61521115403521
7204124304506
oct36563644211
911572030734
104124002441
11182698a089
129711535a1
1350951a340
142b19d24ad
151920bb9b1
hexf5cf4889

4124002441 has 8 divisors (see below), whose sum is σ = 4441742984. Its totient is φ = 3806334720.

The previous prime is 4124002439. The next prime is 4124002457. The reversal of 4124002441 is 1442004214.

It can be written as a sum of positive squares in 4 ways, for example, as 291897225 + 3832105216 = 17085^2 + 61904^2 .

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 4124002441 - 21 = 4124002439 is a prime.

It is a super-2 number, since 2×41240024412 = 34014792266747916962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4124002471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177025 + ... + 198961.

It is an arithmetic number, because the mean of its divisors is an integer number (555217873).

Almost surely, 24124002441 is an apocalyptic number.

It is an amenable number.

4124002441 is a deficient number, since it is larger than the sum of its proper divisors (317740543).

4124002441 is a wasteful number, since it uses less digits than its factorization.

4124002441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36411.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4124002441 is about 64218.3964374695. The cubic root of 4124002441 is about 1603.6378735755.

Adding to 4124002441 its reverse (1442004214), we get a palindrome (5566006655).

The spelling of 4124002441 in words is "four billion, one hundred twenty-four million, two thousand, four hundred forty-one".

Divisors: 1 13 14461 21937 187993 285181 317230957 4124002441