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114241332112141 = 1329709427401137
BaseRepresentation
bin11001111110011011100010…
…000001001110101100001101
3112222111100211212012000100211
4121332123202001032230031
5104433212222010042031
61042545424330322421
733030443464604443
oct3176334201165415
9488440755160324
10114241332112141
1133445527791623
121099089ab89411
134b98bb043aa40
14202d44a80cb93
15d31a2c55dbb1
hex67e6e204eb0d

114241332112141 has 16 divisors (see below), whose sum is σ = 127451019351600. Its totient is φ = 101673601440768.

The previous prime is 114241332112139. The next prime is 114241332112151. The reversal of 114241332112141 is 141211233142411.

It can be written as a sum of positive squares in 8 ways, for example, as 49883553483241 + 64357778628900 = 7062829^2 + 8022330^2 .

It is a cyclic number.

It is not a de Polignac number, because 114241332112141 - 21 = 114241332112139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114241332112151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213433276 + ... + 213967861.

It is an arithmetic number, because the mean of its divisors is an integer number (7965688709475).

Almost surely, 2114241332112141 is an apocalyptic number.

It is an amenable number.

114241332112141 is a deficient number, since it is larger than the sum of its proper divisors (13209687239459).

114241332112141 is a wasteful number, since it uses less digits than its factorization.

114241332112141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427401888.

The product of its digits is 4608, while the sum is 31.

Adding to 114241332112141 its reverse (141211233142411), we get a palindrome (255452565254552).

The spelling of 114241332112141 in words is "one hundred fourteen trillion, two hundred forty-one billion, three hundred thirty-two million, one hundred twelve thousand, one hundred forty-one".

Divisors: 1 13 29 377 709 9217 20561 267293 427401137 5556214781 12394632973 161130228649 303027406133 3939356279729 8787794777857 114241332112141