Search a number
-
+
420436225146 = 23729361755373
BaseRepresentation
bin1100001111000111111…
…00111010110001111010
31111012012220221011122110
412013203330322301322
523342023133201041
6521051251233150
742242541643230
oct6074374726172
91435186834573
10420436225146
11152340319873
12695972a87b6
13308544cbb62
14164c639c950
15ae0aad1516
hex61e3f3ac7a

420436225146 has 64 divisors (see below), whose sum is σ = 965857229568. Its totient is φ = 119518468608.

The previous prime is 420436225127. The next prime is 420436225159. The reversal of 420436225146 is 641522634024.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7565116 + ... + 7620488.

It is an arithmetic number, because the mean of its divisors is an integer number (15091519212).

Almost surely, 2420436225146 is an apocalyptic number.

420436225146 is an abundant number, since it is smaller than the sum of its proper divisors (545421004422).

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

420436225146 is a wasteful number, since it uses less digits than its factorization.

420436225146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56295.

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 420436225146 in words is "four hundred twenty billion, four hundred thirty-six million, two hundred twenty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 293 586 617 879 1234 1758 1851 2051 3702 4102 4319 6153 8638 12306 12957 25914 55373 110746 166119 180781 332238 361562 387611 542343 775222 1084686 1162833 1265467 2325666 2530934 3796401 7592802 16224289 32448578 34165141 48672867 68330282 97345734 102495423 113570023 204990846 227140046 239155987 340710069 478311974 681420138 717467961 1434935922 10010386313 20020772626 30031158939 60062317878 70072704191 140145408382 210218112573 420436225146