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4005132401 = 47710911987
BaseRepresentation
bin1110111010111001…
…0111100001110001
3101100010100210210002
43232232113201301
531200303214101
61501231515345
7201152030564
oct35656274161
911303323702
104005132401
11177587a286
12939388b55
134ba9ca83a
1429dccc4db
1518693ad6b
hexeeb97871

4005132401 has 8 divisors (see below), whose sum is σ = 4091264640. Its totient is φ = 3919038448.

The previous prime is 4005132361. The next prime is 4005132407. The reversal of 4005132401 is 1042315004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4005132401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4005132407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328130 + ... + 340116.

It is an arithmetic number, because the mean of its divisors is an integer number (511408080).

Almost surely, 24005132401 is an apocalyptic number.

It is an amenable number.

4005132401 is a deficient number, since it is larger than the sum of its proper divisors (86132239).

4005132401 is a wasteful number, since it uses less digits than its factorization.

4005132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19143.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4005132401 is about 63286.1153887644. The cubic root of 4005132401 is about 1588.0796933581.

Adding to 4005132401 its reverse (1042315004), we get a palindrome (5047447405).

The spelling of 4005132401 in words is "four billion, five million, one hundred thirty-two thousand, four hundred one".

Divisors: 1 47 7109 11987 334123 563389 85215583 4005132401