Search a number
-
+
42420440332000 = 255310605110083
BaseRepresentation
bin10011010010100110001110…
…10001101111011011100000
312120012100120102102200110201
421221103013101233123200
521030004030211111000
6230115403052434544
711635530025311343
oct1151230721573340
9176170512380421
1042420440332000
111257545373a215
124911447778a54
131a892cc138073
14a69235ab645a
154d86bdd3c96a
hex2694c746f6e0

42420440332000 has 48 divisors (see below), whose sum is σ = 104227021905552. Its totient is φ = 16968176131200.

The previous prime is 42420440331967. The next prime is 42420440332001. The reversal of 42420440332000 is 23304402424.

It is a happy number.

42420440332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42420440332000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42420440332001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5302551042 + ... + 5302559041.

It is an arithmetic number, because the mean of its divisors is an integer number (2171396289699).

Almost surely, 242420440332000 is an apocalyptic number.

42420440332000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42420440332000 is an abundant number, since it is smaller than the sum of its proper divisors (61806581573552).

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

42420440332000 is a wasteful number, since it uses less digits than its factorization.

42420440332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605110108 (or 10605110090 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42420440332000 its reverse (23304402424), we get a palindrome (42443744734424).

The spelling of 42420440332000 in words is "forty-two trillion, four hundred twenty billion, four hundred forty million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 10605110083 21210220166 42420440332 53025550415 84840880664 106051100830 169681761328 212102201660 265127752075 339363522656 424204403320 530255504150 848408806640 1060511008300 1325638760375 1696817613280 2121022016600 2651277520750 4242044033200 5302555041500 8484088066400 10605110083000 21210220166000 42420440332000