Search a number
-
+
421241334120 = 233251170114817
BaseRepresentation
bin1100010000100111111…
…00001010100101101000
31111021022000212221112100
412020103330022211220
523400200240142440
6521303211413400
742301516155555
oct6102374124550
91437260787470
10421241334120
1115271382a092
1269780a54260
13309522502b9
1416561297a2c
15ae56617230
hex6213f0a968

421241334120 has 48 divisors (see below), whose sum is σ = 1369034337060. Its totient is φ = 112331022336.

The previous prime is 421241334113. The next prime is 421241334133. The reversal of 421241334120 is 21433142124.

421241334120 is a `hidden beast` number, since 4 + 2 + 1 + 241 + 3 + 3 + 412 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 421141294116 + 100040004 = 648954^2 + 10002^2 .

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 11 ways as a sum of consecutive naturals, for example, 585057049 + ... + 585057768.

Almost surely, 2421241334120 is an apocalyptic number.

421241334120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421241334120 is an abundant number, since it is smaller than the sum of its proper divisors (947793002940).

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

421241334120 is a wasteful number, since it uses less digits than its factorization.

421241334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170114834 (or 1170114827 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 421241334120 its reverse (21433142124), we get a palindrome (442674476244).

The spelling of 421241334120 in words is "four hundred twenty-one billion, two hundred forty-one million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1170114817 2340229634 3510344451 4680459268 5850574085 7020688902 9360918536 10531033353 11701148170 14041377804 17551722255 21062066706 23402296340 28082755608 35103444510 42124133412 46804592680 52655166765 70206889020 84248266824 105310333530 140413778040 210620667060 421241334120