Search a number
-
+
42244220242000 = 2453731181537773
BaseRepresentation
bin10011001101011101111111…
…01111011100100001010000
312112120111201100020120221201
421212232333233130201100
521014112130340221000
6225502421000400544
711620021105255120
oct1146567757344120
9175514640216851
1042244220242000
11125077450273a7
1248a3267a76154
131a757c764586a
14a608b9cdcc80
154d3d083d296a
hex266bbfbdc850

42244220242000 has 320 divisors, whose sum is σ = 121170652581888. Its totient is φ = 13939050240000.

The previous prime is 42244220241989. The next prime is 42244220242009. The reversal of 42244220242000 is 24202244224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 42244220242000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42244220242009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78285114 + ... + 78822886.

Almost surely, 242244220242000 is an apocalyptic number.

42244220242000 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 42244220242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60585326290944).

42244220242000 is an abundant number, since it is smaller than the sum of its proper divisors (78926432339888).

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

42244220242000 is a wasteful number, since it uses less digits than its factorization.

42244220242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538015 (or 537999 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42244220242000 its reverse (24202244224), we get a palindrome (42268422486224).

The spelling of 42244220242000 in words is "forty-two trillion, two hundred forty-four billion, two hundred twenty million, two hundred forty-two thousand".