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114132224011421 = 71161113215035061
BaseRepresentation
bin11001111100110101111010…
…101010110110110010011101
3112222002221012221001012210102
4121330311322222312302131
5104424420243321331141
61042423341521150445
733016531623213440
oct3174657252666235
9488087187035712
10114132224011421
1133403228040660
121097370aa8b425
134b8b81295c2b5
142028059c77657
15d2dc938e299b
hex67cd7aab6c9d

114132224011421 has 32 divisors (see below), whose sum is σ = 145907310548736. Its totient is φ = 86702136192000.

The previous prime is 114132224011417. The next prime is 114132224011423. The reversal of 114132224011421 is 124110422231411.

It is a happy number.

It is not a de Polignac number, because 114132224011421 - 22 = 114132224011417 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114132224011423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106986770 + ... + 108048291.

It is an arithmetic number, because the mean of its divisors is an integer number (4559603454648).

Almost surely, 2114132224011421 is an apocalyptic number.

114132224011421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114132224011421 is a deficient number, since it is larger than the sum of its proper divisors (31775086537315).

114132224011421 is a wasteful number, since it uses less digits than its factorization.

114132224011421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215035253.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 114132224011421 its reverse (124110422231411), we get a palindrome (238242646242832).

The spelling of 114132224011421 in words is "one hundred fourteen trillion, one hundred thirty-two billion, two hundred twenty-four million, eleven thousand, four hundred twenty-one".

Divisors: 1 7 11 61 77 113 427 671 791 1243 4697 6893 8701 48251 75823 530761 215035061 1505245427 2365385671 13117138721 16557699697 24298961893 91819971047 144288525931 170092733251 267288580823 1010019681517 1482236675473 1871020065761 10375656728311 16304603430203 114132224011421