Search a number
-
+
242456322240 = 26325117653293
BaseRepresentation
bin1110000111001110000…
…1011110000011000000
3212011211012100022122200
43201303201132003000
512433022304302430
6303214412233200
723342202510066
oct3416341360300
9764735308580
10242456322240
1193909300520
123aba616b800
1319b2c24a342
14ba409b0036
15649090a460
hex387385e0c0

242456322240 has 168 divisors, whose sum is σ = 909762364368. Its totient is φ = 58777282560.

The previous prime is 242456322209. The next prime is 242456322257. The reversal of 242456322240 is 42223654242.

242456322240 is a `hidden beast` number, since 2 + 42 + 4 + 56 + 322 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242456322195 and 242456322204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3794967 + ... + 3858326.

Almost surely, 2242456322240 is an apocalyptic number.

242456322240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242456322240 is an abundant number, since it is smaller than the sum of its proper divisors (667306042128).

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

242456322240 is a wasteful number, since it uses less digits than its factorization.

242456322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653327 (or 7653314 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 242456322240 its reverse (42223654242), we get a palindrome (284679976482).

The spelling of 242456322240 in words is "two hundred forty-two billion, four hundred fifty-six million, three hundred twenty-two thousand, two hundred forty".