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115350444200241 = 33171961732142677
BaseRepresentation
bin11010001110100100011110…
…010000000101000100110001
3120010102101122210020211002000
4122032210132100011010301
5110104400202203401431
61045155132411444213
733203536353032505
oct3216443620050461
9503371583224060
10115350444200241
1133832937631238
1210b2b832456669
134c49666c7cc03
14206adc4148305
15d507e2e7c9e6
hex68e91e405131

115350444200241 has 64 divisors (see below), whose sum is σ = 190496073196800. Its totient is φ = 68556307074048.

The previous prime is 115350444200237. The next prime is 115350444200291. The reversal of 115350444200241 is 142002444053511.

115350444200241 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 5 + 0 + 444 + 200 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 115350444200241 - 22 = 115350444200237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115350444200196 and 115350444200205.

It is not an unprimeable number, because it can be changed into a prime (115350444200291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52763395 + ... + 54906071.

It is an arithmetic number, because the mean of its divisors is an integer number (2976501143700).

Almost surely, 2115350444200241 is an apocalyptic number.

It is an amenable number.

115350444200241 is a deficient number, since it is larger than the sum of its proper divisors (75145628996559).

115350444200241 is a wasteful number, since it uses less digits than its factorization.

115350444200241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148895 (or 2148889 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 115350444200241 its reverse (142002444053511), we get a palindrome (257352888253752).

The spelling of 115350444200241 in words is "one hundred fifteen trillion, three hundred fifty billion, four hundred forty-four million, two hundred thousand, two hundred forty-one".

Divisors: 1 3 9 17 19 27 51 57 153 171 323 459 513 969 2907 6173 8721 18519 55557 104941 117287 166671 314823 351861 944469 1055583 1993879 2142677 2833407 3166749 5981637 6428031 17944911 19284093 36425509 40710863 53834733 57852279 109276527 122132589 327829581 366397767 692084671 983488743 1099193301 2076254013 6228762039 13226745121 18686286117 39680235363 119040706089 224854667057 251308157299 357122118267 674564001171 753924471897 2023692003513 2261773415691 4272238674083 6071076010539 6785320247073 12816716022249 38450148066747 115350444200241