Search a number
-
+
3443420142140 = 225111913121129803
BaseRepresentation
bin110010000110111011110…
…101011001101000111100
3110012012001212111101221112
4302012323311121220330
5422404111024022030
611153515124021152
7503531106163556
oct62067365315074
913165055441845
103443420142140
11110838999a570
124774365317b8
131bc936979634
14bc93b9984d6
155e888009a95
hex321bbd59a3c

3443420142140 has 192 divisors, whose sum is σ = 8407074170880. Its totient is φ = 1171576224000.

The previous prime is 3443420142077. The next prime is 3443420142181. The reversal of 3443420142140 is 412410243443.

It is a junction number, because it is equal to n+sod(n) for n = 3443420142097 and 3443420142106.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 115524479 + ... + 115554281.

It is an arithmetic number, because the mean of its divisors is an integer number (43786844640).

Almost surely, 23443420142140 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 3443420142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203537085440).

3443420142140 is an abundant number, since it is smaller than the sum of its proper divisors (4963654028740).

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

3443420142140 is a wasteful number, since it uses less digits than its factorization.

3443420142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30184 (or 30182 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 3443420142140 its reverse (412410243443), we get a palindrome (3855830385583).

The spelling of 3443420142140 in words is "three trillion, four hundred forty-three billion, four hundred twenty million, one hundred forty-two thousand, one hundred forty".