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4144260221 = 1719233715077
BaseRepresentation
bin1111011100000100…
…0110010001111101
3101200211011020021022
43313001012101331
531441412311341
61523121513525
7204461426213
oct36701062175
911624136238
104144260221
111837366052
12977aa28a5
13510790baa
142b4586cb3
15193c6de4b
hexf704647d

4144260221 has 32 divisors (see below), whose sum is σ = 4950408960. Its totient is φ = 3438775296.

The previous prime is 4144260191. The next prime is 4144260251. The reversal of 4144260221 is 1220624414.

It is an interprime number because it is at equal distance from previous prime (4144260191) and next prime (4144260251).

It is a cyclic number.

It is not a de Polignac number, because 4144260221 - 26 = 4144260157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144260251) 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 31 ways as a sum of consecutive naturals, for example, 267335 + ... + 282411.

It is an arithmetic number, because the mean of its divisors is an integer number (154700280).

Almost surely, 24144260221 is an apocalyptic number.

It is an amenable number.

4144260221 is a deficient number, since it is larger than the sum of its proper divisors (806148739).

4144260221 is a wasteful number, since it uses less digits than its factorization.

4144260221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173.

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4144260221 is about 64375.9288942692. The cubic root of 4144260221 is about 1606.2593637390.

Adding to 4144260221 its reverse (1220624414), we get a palindrome (5364884635).

The spelling of 4144260221 in words is "four billion, one hundred forty-four million, two hundred sixty thousand, two hundred twenty-one".

Divisors: 1 17 19 23 37 323 391 437 629 703 851 7429 11951 14467 15077 16169 256309 274873 286463 346771 557849 4869871 5895107 6588649 9483433 10599131 12830527 112007033 180185227 218118959 243780013 4144260221