Search a number
-
+
43404334410420 = 2232519461145318947
BaseRepresentation
bin10011101111001110110111…
…11011110010101010110100
312200200102011200201112001200
421313213123323302222310
521142114034102113140
6232151402001252500
712066600604062654
oct1167473373625264
9180612150645050
1043404334410420
1112914747253915
124a50073934130
131b2b01b712799
14aa0ad1098364
155040a6639030
hex2779dbef2ab4

43404334410420 has 288 divisors, whose sum is σ = 138992829655680. Its totient is φ = 10933412244480.

The previous prime is 43404334410419. The next prime is 43404334410427. The reversal of 43404334410420 is 2401443340434.

43404334410420 is a `hidden beast` number, since 43 + 40 + 433 + 44 + 104 + 2 + 0 = 666.

It is a super-2 number, since 2×434043344104202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43404334410427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2290819387 + ... + 2290838333.

It is an arithmetic number, because the mean of its divisors is an integer number (482613991860).

Almost surely, 243404334410420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43404334410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69496414827840).

43404334410420 is an abundant number, since it is smaller than the sum of its proper divisors (95588495245260).

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

43404334410420 is a wasteful number, since it uses less digits than its factorization.

43404334410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20895 (or 20890 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 43404334410420 its reverse (2401443340434), we get a palindrome (45805777750854).

The spelling of 43404334410420 in words is "forty-three trillion, four hundred four billion, three hundred thirty-four million, four hundred ten thousand, four hundred twenty".