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242044035404031 = 37722258653037
BaseRepresentation
bin110111000010001101000100…
…110000000001000011111111
31011202000011221222210020000000
4313002031010300001003333
5223211122141030412111
62214441254514205343
7101661050556550500
oct6702150460010377
91152004858706000
10242044035404031
1170139331a01aa3
1223191909883853
13a5098682095a3
1443aadcb088ba7
151ceb1c2b8ac56
hexdc2344c010ff

242044035404031 has 48 divisors (see below), whose sum is σ = 422277771984480. Its totient is φ = 138310877312496.

The previous prime is 242044035404029. The next prime is 242044035404063. The reversal of 242044035404031 is 130404530440242.

242044035404031 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 4 + 40 + 3 + 540 + 40 + 31 = 666.

It is not a de Polignac number, because 242044035404031 - 21 = 242044035404029 is a prime.

It is a super-2 number, since 2×2420440354040312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242044035404021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129219356 + ... + 1129433681.

It is an arithmetic number, because the mean of its divisors is an integer number (8797453583010).

Almost surely, 2242044035404031 is an apocalyptic number.

242044035404031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242044035404031 is a deficient number, since it is larger than the sum of its proper divisors (180233736580449).

242044035404031 is an frugal number, since it uses more digits than its factorization.

242044035404031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258653072 (or 2258653047 counting only the distinct ones).

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

Adding to 242044035404031 its reverse (130404530440242), we get a palindrome (372448565844273).

The spelling of 242044035404031 in words is "two hundred forty-two trillion, forty-four billion, thirty-five million, four hundred four thousand, thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 2187 3969 5103 11907 15309 35721 107163 2258653037 6775959111 15810571259 20327877333 47431713777 60983631999 110673998813 142295141331 182950895997 332021996439 426885423993 548852687991 996065989317 1280656271979 1646558063973 2988197967951 3841968815937 4939674191919 8964593903853 11525906447811 26893781711559 34577719343433 80681345134677 242044035404031