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4042188801 = 32731968917
BaseRepresentation
bin1111000011101110…
…1110100000000001
3101102201002110121100
43300323232200001
531234300020201
61505034045013
7202112016000
oct36073564001
911381073540
104042188801
11179478a302
12949879769
134c55a35c1
142a4bb6c37
15189d0a886
hexf0eee801

4042188801 has 48 divisors (see below), whose sum is σ = 7167472000. Its totient is φ = 2188220832.

The previous prime is 4042188781. The next prime is 4042188803. The reversal of 4042188801 is 1088812404.

It is a happy number.

It is not a de Polignac number, because 4042188801 - 26 = 4042188737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4042188803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24195 + ... + 93111.

Almost surely, 24042188801 is an apocalyptic number.

It is an amenable number.

4042188801 is a deficient number, since it is larger than the sum of its proper divisors (3125283199).

4042188801 is a wasteful number, since it uses less digits than its factorization.

4042188801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68963 (or 68946 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 4042188801 is about 63578.2101116412. The cubic root of 4042188801 is about 1592.9624241772.

The spelling of 4042188801 in words is "four billion, forty-two million, one hundred eighty-eight thousand, eight hundred one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 343 399 441 931 1029 1197 2793 3087 6517 8379 19551 58653 68917 206751 482419 620253 1309423 1447257 3376933 3928269 4341771 9165961 10130799 11784807 23638531 27497883 30392397 64161727 70915593 82493649 192485181 212746779 449132089 577455543 1347396267 4042188801