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114032200032044 = 22729738915418783
BaseRepresentation
bin11001111011011000110000…
…110001101001111100101100
3112221202101001002021121000122
4121323120300301221330230
5104421300421202011134
61042305400340144112
733006361135343300
oct3173306061517454
9487671032247018
10114032200032044
113337486a117498
1210958255098038
134b822621a5098
14202328b973d00
15d2b38c51d02e
hex67b630c69f2c

114032200032044 has 72 divisors (see below), whose sum is σ = 235133063867520. Its totient is φ = 48242778522624.

The previous prime is 114032200031963. The next prime is 114032200032059. The reversal of 114032200032044 is 440230002230411.

114032200032044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313724 + ... + 15105059.

It is an arithmetic number, because the mean of its divisors is an integer number (3265736998160).

Almost surely, 2114032200032044 is an apocalyptic number.

114032200032044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114032200032044 is an abundant number, since it is smaller than the sum of its proper divisors (121100863835476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114032200032044 is a wasteful number, since it uses less digits than its factorization.

114032200032044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419287 (or 15419278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 114032200032044 its reverse (440230002230411), we get a palindrome (554262202262455).

The spelling of 114032200032044 in words is "one hundred fourteen trillion, thirty-two billion, two hundred million, thirty-two thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 389 679 778 1358 1556 2716 2723 4753 5446 9506 10892 19012 19061 37733 38122 75466 76244 150932 264131 528262 1056524 1848917 3697834 7395668 15418783 30837566 61675132 107931481 215862962 431725924 755520367 1495621951 1511040734 2991243902 3022081468 5982487804 5997906587 10469353657 11995813174 20938707314 23991626348 41877414628 41985346109 73285475599 83970692218 146570951198 167941384436 293141902396 293897422763 581796938939 587794845526 1163593877878 1175589691052 2327187755756 4072578572573 8145157145146 16290314290292 28508050008011 57016100016022 114032200032044