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242302441250153 = 31713671719117449
BaseRepresentation
bin110111000101111101101110…
…111100000101110101101001
31011202220212221201222022020102
4313011331232330011311221
5223224340344430001103
62215200112124235145
7102015526242161324
oct6705755674056551
91152825851868212
10242302441250153
1170228985301909
1223213a0539bab5
13a528039918b0b
1443b970200b7bb
151d02c9891ae88
hexdc5f6ef05d69

242302441250153 has 32 divisors (see below), whose sum is σ = 254361939148800. Its totient is φ = 230527058832000.

The previous prime is 242302441250147. The next prime is 242302441250167. The reversal of 242302441250153 is 351052144203242.

It is a cyclic number.

It is not a de Polignac number, because 242302441250153 - 24 = 242302441250137 is a prime.

It is a super-2 number, since 2×2423024412501532 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242302441250183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13886313773 + ... + 13886331221.

It is an arithmetic number, because the mean of its divisors is an integer number (7948810598400).

Almost surely, 2242302441250153 is an apocalyptic number.

It is an amenable number.

242302441250153 is a deficient number, since it is larger than the sum of its proper divisors (12059497898647).

242302441250153 is a wasteful number, since it uses less digits than its factorization.

242302441250153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35109.

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 242302441250153 its reverse (351052144203242), we get a palindrome (593354585453395).

The spelling of 242302441250153 in words is "two hundred forty-two trillion, three hundred two billion, four hundred forty-one million, two hundred fifty thousand, one hundred fifty-three".

Divisors: 1 31 71 367 2201 11377 17191 17449 26057 532921 540919 807767 1220561 1238879 6309097 6403783 37837391 38405249 195582007 198517273 299965759 447945887 454668593 9298938529 13886322497 14094726383 21297568889 110087433553 660224635559 3412710440143 7816207782263 242302441250153