Search a number
-
+
3005540221446 = 233723345702809
BaseRepresentation
bin101011101111001000001…
…010000100001000000110
3101122022211021011200112000
4223233020022010020012
5343220321244041241
610220420501410130
7430100042235150
oct53571012041006
911568737150460
103005540221446
11a59708112094
124065b1409946
1318a562587149
14a567ca1dad0
15532aad0aeb6
hex2bbc8284206

3005540221446 has 64 divisors (see below), whose sum is σ = 7964992742400. Its totient is φ = 821389871808.

The previous prime is 3005540221441. The next prime is 3005540221447. The reversal of 3005540221446 is 6441220455003.

3005540221446 is a `hidden beast` number, since 30 + 0 + 5 + 5 + 402 + 214 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3005540221446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005540221441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172842711 + ... + 172860098.

It is an arithmetic number, because the mean of its divisors is an integer number (124453011600).

Almost surely, 23005540221446 is an apocalyptic number.

3005540221446 is an abundant number, since it is smaller than the sum of its proper divisors (4959452520954).

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

3005540221446 is a wasteful number, since it uses less digits than its factorization.

3005540221446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345702850 (or 345702844 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 3005540221446 its reverse (6441220455003), we get a palindrome (9446760676449).

The spelling of 3005540221446 in words is "three trillion, five billion, five hundred forty million, two hundred twenty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 345702809 691405618 1037108427 2074216854 2419919663 3111325281 4839839326 6222650562 7259758989 7951164607 9333975843 14519517978 15902329214 18667951686 21779276967 23853493821 43558553934 47706987642 55658152249 65337830901 71560481463 111316304498 130675661802 143120962926 166974456747 214681444389 333948913494 429362888778 500923370241 1001846740482 1502770110723 3005540221446