Search a number
-
+
242004242240 = 2655991262543
BaseRepresentation
bin1110000101100010010…
…0111010111101000000
3212010122200200021110222
43201120210322331000
512431111041222430
6303101502442212
723325043055435
oct3413044727500
9763580607428
10242004242240
11936a70a4092
123aa9a893368
1319a896a2997
14b9da92db8c
156465daa9e5
hex385893af40

242004242240 has 56 divisors (see below), whose sum is σ = 577235116800. Its totient is φ = 96640014848.

The previous prime is 242004242209. The next prime is 242004242243. The reversal of 242004242240 is 42242400242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242004242243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439592 + ... + 822951.

Almost surely, 2242004242240 is an apocalyptic number.

242004242240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242004242240 is an abundant number, since it is smaller than the sum of its proper divisors (335230874560).

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

242004242240 is a wasteful number, since it uses less digits than its factorization.

242004242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263159 (or 1263149 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 242004242240 its reverse (42242400242), we get a palindrome (284246642482).

The spelling of 242004242240 in words is "two hundred forty-two billion, four million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 599 1198 2396 2995 4792 5990 9584 11980 19168 23960 38336 47920 95840 191680 1262543 2525086 5050172 6312715 10100344 12625430 20200688 25250860 40401376 50501720 80802752 101003440 202006880 404013760 756263257 1512526514 3025053028 3781316285 6050106056 7562632570 12100212112 15125265140 24200424224 30250530280 48400848448 60501060560 121002121120 242004242240