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114241133442051 = 32721183283735147
BaseRepresentation
bin11001111110011011010110…
…001011010111010000000011
3112222111100100000100112020100
4121332123112023113100003
5104433211320130121201
61042545352512213443
733030435533126400
oct3176332613272003
9488440300315210
10114241133442051
1133445435627870
121099084453a283
134b98b7b22ab85
14202d42c2952a7
15d31a19db8886
hex67e6d62d7403

114241133442051 has 72 divisors (see below), whose sum is σ = 211929726625344. Its totient is φ = 58631030569440.

The previous prime is 114241133442047. The next prime is 114241133442061. The reversal of 114241133442051 is 150244331142411.

114241133442051 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 411 + 3 + 34 + 4 + 205 + 1 = 666.

It is not a de Polignac number, because 114241133442051 - 22 = 114241133442047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114241133441997 and 114241133442015.

It is not an unprimeable number, because it can be changed into a prime (114241133442001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141464941 + ... + 142270206.

It is an arithmetic number, because the mean of its divisors is an integer number (2943468425352).

Almost surely, 2114241133442051 is an apocalyptic number.

114241133442051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114241133442051 is a deficient number, since it is larger than the sum of its proper divisors (97688593183293).

114241133442051 is a wasteful number, since it uses less digits than its factorization.

114241133442051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283735261 (or 283735251 counting only the distinct ones).

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

Adding to 114241133442051 its reverse (150244331142411), we get a palindrome (264485464584462).

The spelling of 114241133442051 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred thirty-three million, four hundred forty-two thousand, fifty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 83 99 147 231 249 441 539 581 693 747 913 1617 1743 2739 4067 4851 5229 6391 8217 12201 19173 36603 44737 57519 134211 402633 283735147 851205441 1986146029 2553616323 3121086617 5958438087 9363259851 13903022203 17875314261 21847606319 23550017201 28089779553 41709066609 65542818957 70650051603 125127199827 152933244233 164850120407 196628456871 211950154809 259050189211 458799732699 494550361221 777150567633 1153950842849 1376399198097 1483651083663 1813351324477 2331451702899 3461852528547 5440053973431 10385557585641 12693459271339 16320161920293 38080377814017 114241133442051