Search a number
-
+
242011404304125 = 3532812296668131
BaseRepresentation
bin110111000001101110101011…
…110010001111111011111101
31011201220001201212121121002020
4313001232223302033323331
5223210103324000213000
62214414300532350353
7101655514131021441
oct6701565362177375
91151801655547066
10242011404304125
1170126507561735
12231875217753b9
13a506767a02a51
1443a95b3424821
151cea41308bba0
hexdc1babc8fefd

242011404304125 has 32 divisors (see below), whose sum is σ = 404140097851776. Its totient is φ = 128613415280000.

The previous prime is 242011404304123. The next prime is 242011404304127. The reversal of 242011404304125 is 521403404110242.

It is an interprime number because it is at equal distance from previous prime (242011404304123) and next prime (242011404304127).

It is not a de Polignac number, because 242011404304125 - 21 = 242011404304123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242011404304123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148228691 + ... + 1148439440.

It is an arithmetic number, because the mean of its divisors is an integer number (12629378057868).

Almost surely, 2242011404304125 is an apocalyptic number.

242011404304125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242011404304125 is a deficient number, since it is larger than the sum of its proper divisors (162128693547651).

242011404304125 is a wasteful number, since it uses less digits than its factorization.

242011404304125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296668430 (or 2296668420 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 242011404304125 its reverse (521403404110242), we get a palindrome (763414808414367).

The spelling of 242011404304125 in words is "two hundred forty-two trillion, eleven billion, four hundred four million, three hundred four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 281 375 843 1405 4215 7025 21075 35125 105375 2296668131 6890004393 11483340655 34450021965 57416703275 172250109825 287083516375 645363744811 861250549125 1936091234433 3226818724055 9680456172165 16134093620275 48402280860825 80670468101375 242011404304125