Search a number
-
+
424442304305220 = 223540416717502761
BaseRepresentation
bin110000010000001110010110…
…0110001101001100001000100
32001122211021202222000001201210
41200200130230301221201010
5421113030314400231340
64102414034111251420
7155254641655354245
oct14040345461514104
92048737688001653
10424442304305220
11113270a74657313
123b72b918b19b70
13152aa97853c6c6
1476b518d604ccc
153410ab97c2180
hex182072cc69844

424442304305220 has 48 divisors (see below), whose sum is σ = 1188441460418688. Its totient is φ = 113184327970560.

The previous prime is 424442304305177. The next prime is 424442304305263. The reversal of 424442304305220 is 22503403244424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424442304305177) and next prime (424442304305263).

It is a super-2 number, since 2×4244423043052202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15498640 + ... + 33001400.

It is an arithmetic number, because the mean of its divisors is an integer number (24759197092056).

Almost surely, 2424442304305220 is an apocalyptic number.

It is an amenable number.

424442304305220 is an abundant number, since it is smaller than the sum of its proper divisors (763999156113468).

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

424442304305220 is a wasteful number, since it uses less digits than its factorization.

424442304305220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17906940 (or 17906938 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 39.

Adding to 424442304305220 its reverse (22503403244424), we get a palindrome (446945707549644).

The spelling of 424442304305220 in words is "four hundred twenty-four trillion, four hundred forty-two billion, three hundred four million, three hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 404167 808334 1212501 1616668 2020835 2425002 4041670 4850004 6062505 8083340 12125010 17502761 24250020 35005522 52508283 70011044 87513805 105016566 175027610 210033132 262541415 350055220 525082830 1050165660 7074038405087 14148076810174 21222115215261 28296153620348 35370192025435 42444230430522 70740384050870 84888460861044 106110576076305 141480768101740 212221152152610 424442304305220