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4100306004 = 2232113897389
BaseRepresentation
bin1111010001100101…
…1011010001010100
3101120202110010102100
43310121123101110
531344134243004
61514511442100
7203416011624
oct36431332124
911522403370
104100306004
111814574653
12965226330
13504641592
142ac7c4884
1518ee8a739
hexf465b454

4100306004 has 18 divisors (see below), whose sum is σ = 10364662490. Its totient is φ = 1366768656.

The previous prime is 4100305987. The next prime is 4100306009. The reversal of 4100306004 is 4006030014.

4100306004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3925273104 + 175032900 = 62652^2 + 13230^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100306009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56948659 + ... + 56948730.

Almost surely, 24100306004 is an apocalyptic number.

It is an amenable number.

4100306004 is an abundant number, since it is smaller than the sum of its proper divisors (6264356486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4100306004 is a wasteful number, since it uses less digits than its factorization.

4100306004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113897399 (or 113897394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4100306004 is about 64033.6318195368. The cubic root of 4100306004 is about 1600.5604812442.

Adding to 4100306004 its reverse (4006030014), we get a palindrome (8106336018).

The spelling of 4100306004 in words is "four billion, one hundred million, three hundred six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 113897389 227794778 341692167 455589556 683384334 1025076501 1366768668 2050153002 4100306004