Search a number
-
+
42220758944000 = 285371321115299
BaseRepresentation
bin10011001100110010010010…
…10101101100100100000000
312112111021011021200011110202
421212121021111230210000
521013221103242202000
6225443540543344332
711615230523442320
oct1146311125544400
9175437137604422
1042220758944000
11124a87a5804a1a
12489a7ba8b20a8
131a73528b32400
14a5d6d2051280
154d33d3851dd5
hex26664956c900

42220758944000 has 432 divisors, whose sum is σ = 130160221027200. Its totient is φ = 13362162278400.

The previous prime is 42220758943943. The next prime is 42220758944033. The reversal of 42220758944000 is 44985702224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37298351 + ... + 38413649.

Almost surely, 242220758944000 is an apocalyptic number.

42220758944000 is a gapful number since it is divisible by the number (40) 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 42220758944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65080110513600).

42220758944000 is an abundant number, since it is smaller than the sum of its proper divisors (87939462083200).

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

42220758944000 is a wasteful number, since it uses less digits than its factorization.

42220758944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115363 (or 1115326 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 42220758944000 in words is "forty-two trillion, two hundred twenty billion, seven hundred fifty-eight million, nine hundred forty-four thousand".