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114101132241141 = 3313291973179339
BaseRepresentation
bin11001111100011000111101…
…011101001010100011110101
3112221222221222002101122011000
4121330120331131022203311
5104423413104323204031
61042401200404433513
733014351265426033
oct3174307535124365
9487887862348130
10114101132241141
11333a10225a3441
12109696923a8899
134b888c93383a6
14202674a833553
15d2d07400b3e6
hex67c63d74a8f5

114101132241141 has 16 divisors (see below), whose sum is σ = 169038894772800. Its totient is φ = 76067340340464.

The previous prime is 114101132241137. The next prime is 114101132241143. The reversal of 114101132241141 is 141142231101411.

114101132241141 is a `hidden beast` number, since 1 + 1 + 410 + 1 + 1 + 3 + 2 + 241 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 114101132241141 - 22 = 114101132241137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114101132241143) 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, 34298650 + ... + 37477988.

It is an arithmetic number, because the mean of its divisors is an integer number (10564930923300).

Almost surely, 2114101132241141 is an apocalyptic number.

It is an amenable number.

114101132241141 is a deficient number, since it is larger than the sum of its proper divisors (54937762531659).

114101132241141 is a wasteful number, since it uses less digits than its factorization.

114101132241141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508545 (or 4508539 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 114101132241141 its reverse (141142231101411), we get a palindrome (255243363342552).

The spelling of 114101132241141 in words is "one hundred fourteen trillion, one hundred one billion, one hundred thirty-two million, two hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 1329197 3179339 3987591 9538017 11962773 28614051 35888319 85842153 4225967860783 12677903582349 38033710747047 114101132241141