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114351143240241 = 32719105097168143
BaseRepresentation
bin11010000000000001110011…
…010001011100001000110001
3112222212212021210012022012100
4122000001303101130020301
5104442012120132141431
61043112105012051013
733041411634026115
oct3200016321341061
9488785253168170
10114351143240241
113348805825a456
12109aa026603a69
134ba636077880b
1420348a68a9745
15d34807c994e6
hex68007345c231

114351143240241 has 24 divisors (see below), whose sum is σ = 165406158328320. Its totient is φ = 76126890430656.

The previous prime is 114351143240239. The next prime is 114351143240281. The reversal of 114351143240241 is 142042341153411.

114351143240241 is a `hidden beast` number, since 1 + 1 + 4 + 35 + 1 + 143 + 240 + 241 = 666.

It is not a de Polignac number, because 114351143240241 - 21 = 114351143240239 is a prime.

It is a super-2 number, since 2×1143511432402412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114351143240196 and 114351143240205.

It is not an unprimeable number, because it can be changed into a prime (114351143240281) 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 23 ways as a sum of consecutive naturals, for example, 679998616 + ... + 680166758.

It is an arithmetic number, because the mean of its divisors is an integer number (6891923263680).

Almost surely, 2114351143240241 is an apocalyptic number.

It is an amenable number.

114351143240241 is a deficient number, since it is larger than the sum of its proper divisors (51055015088079).

114351143240241 is a wasteful number, since it uses less digits than its factorization.

114351143240241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273965 (or 273962 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 114351143240241 its reverse (142042341153411), we get a palindrome (256393484393652).

The spelling of 114351143240241 in words is "one hundred fourteen trillion, three hundred fifty-one billion, one hundred forty-three million, two hundred forty thousand, two hundred forty-one".

Divisors: 1 3 9 719 2157 6471 105097 168143 315291 504429 945873 1513287 75564743 120894817 226694229 362684451 680082687 1088053353 17671324871 53013974613 159041923839 12705682582249 38117047746747 114351143240241