Search a number
-
+
3423133343040 = 263523473298579
BaseRepresentation
bin110001110100000010101…
…001011001110101000000
3110010020201001022020021220
4301310002221121311000
5422041034113434130
611140322111315040
7502212302220645
oct61640251316500
913106631266256
103423133343040
1110aa8195930a4
1247351451ba80
131baa52a466b8
14bb975577dcc
155e09bedb410
hex31d02a59d40

3423133343040 has 224 divisors, whose sum is σ = 11582290759680. Its totient is φ = 854569199616.

The previous prime is 3423133343033. The next prime is 3423133343041. The reversal of 3423133343040 is 403433313243.

It is a junction number, because it is equal to n+sod(n) for n = 3423133342992 and 3423133343010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423133343041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 611530 + ... + 2687049.

Almost surely, 23423133343040 is an apocalyptic number.

3423133343040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423133343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791145379840).

3423133343040 is an abundant number, since it is smaller than the sum of its proper divisors (8159157416640).

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

3423133343040 is a wasteful number, since it uses less digits than its factorization.

3423133343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298669 (or 3298659 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 3423133343040 its reverse (403433313243), we get a palindrome (3826566656283).

The spelling of 3423133343040 in words is "three trillion, four hundred twenty-three billion, one hundred thirty-three million, three hundred forty-three thousand, forty".