Search a number
-
+
242938241280 = 2833571004209
BaseRepresentation
bin1110001001000000111…
…1110110000100000000
3212020001210011100022000
43202100033312010000
512440014142210110
6303334305344000
723360143656630
oct3422017660400
9766053140260
10242938241280
1194036338419
123b0bb638000
1319ba8041637
14ba889ba6c0
1564bcda11c0
hex38903f6100

242938241280 has 288 divisors, whose sum is σ = 985250515200. Its totient is φ = 55528685568.

The previous prime is 242938241279. The next prime is 242938241323. The reversal of 242938241280 is 82142839242.

242938241280 is a `hidden beast` number, since 2 + 4 + 293 + 82 + 4 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260185 + ... + 744024.

Almost surely, 2242938241280 is an apocalyptic number.

242938241280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242938241280 is an abundant number, since it is smaller than the sum of its proper divisors (742312273920).

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

242938241280 is a wasteful number, since it uses less digits than its factorization.

242938241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004246 (or 1004226 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 242938241280 in words is "two hundred forty-two billion, nine hundred thirty-eight million, two hundred forty-one thousand, two hundred eighty".