Search a number
-
+
420322223024 = 24113043178479
BaseRepresentation
bin1100001110111010010…
…10000010001110110000
31111011220222102021010122
412013131022002032300
523341304442114044
6521032055545412
742236655642434
oct6073512021660
91434828367118
10420322223024
11152291a34340
126956508b268
13308369c4c92
14164b51a49c4
15ae00ab2dee
hex61dd2823b0

420322223024 has 40 divisors (see below), whose sum is σ = 888448849920. Its totient is φ = 191046843200.

The previous prime is 420322222979. The next prime is 420322223077.

420322223024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420322222984 and 420322223002.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5316617 + ... + 5395095.

It is an arithmetic number, because the mean of its divisors is an integer number (22211221248).

Almost surely, 2420322223024 is an apocalyptic number.

420322223024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420322223024 is an abundant number, since it is smaller than the sum of its proper divisors (468126626896).

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

420322223024 is a wasteful number, since it uses less digits than its factorization.

420322223024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108929 (or 108923 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

It can be divided in two parts, 420322 and 223024, that added together give a palindrome (643346).

The spelling of 420322223024 in words is "four hundred twenty billion, three hundred twenty-two million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 30431 60862 78479 121724 156958 243448 313916 334741 486896 627832 669482 863269 1255664 1338964 1726538 2677928 3453076 5355856 6906152 13812304 2388194449 4776388898 9552777796 19105555592 26270138939 38211111184 52540277878 105080555756 210161111512 420322223024