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242144441 = 71131611663
BaseRepresentation
bin11100110111011…
…01010010111001
3121212122012201122
432123231102321
5443442110231
640005555025
76000123320
oct1633552271
9555565648
10242144441
11114758780
1269115a75
133b221c46
14242330b7
15163d177b
hexe6ed4b9

242144441 has 32 divisors (see below), whose sum is σ = 316932096. Its totient is φ = 179496000.

The previous prime is 242144407. The next prime is 242144453. The reversal of 242144441 is 144441242.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242144441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242144441.

It is not an unprimeable number, because it can be changed into a prime (242144471) 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, 144776 + ... + 146438.

It is an arithmetic number, because the mean of its divisors is an integer number (9904128).

Almost surely, 2242144441 is an apocalyptic number.

It is an amenable number.

242144441 is a deficient number, since it is larger than the sum of its proper divisors (74787655).

242144441 is a wasteful number, since it uses less digits than its factorization.

242144441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773.

The product of its digits is 4096, while the sum is 26.

The square root of 242144441 is about 15560.9910031463. The cubic root of 242144441 is about 623.2919258783.

Adding to 242144441 its reverse (144441242), we get a palindrome (386585683).

The spelling of 242144441 in words is "two hundred forty-two million, one hundred forty-four thousand, four hundred forty-one".

Divisors: 1 7 11 31 61 77 217 341 427 671 1663 1891 2387 4697 11641 13237 18293 20801 51553 101443 128051 145607 360871 567083 710101 1115873 3144733 3969581 7811111 22013131 34592063 242144441