Search a number
-
+
110445533620249 = 2053251192
BaseRepresentation
bin11001000111001100011010…
…110011000110100000011001
3112111001111020010122201112111
4121013030122303012200121
5103434014423101321444
61030521551103312321
732156266166020162
oct3107143263064031
9474044203581474
10110445533620249
1132211762468403
12104791018ab6a1
134981c7a247759
141d3b84159a769
15cb7e1d804234
hex64731acc6819

110445533620249 has 9 divisors (see below), whose sum is σ = 110520947305503. Its totient is φ = 110370171379752.

The previous prime is 110445533620241. The next prime is 110445533620267. The reversal of 110445533620249 is 942026335544011.

The square root of 110445533620249 is 10509307.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57010427775625 + 53435105844624 = 7550525^2 + 7309932^2 .

It is not a de Polignac number, because 110445533620249 - 23 = 110445533620241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110445533620241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21575604712 + ... + 21575609830.

It is an arithmetic number, because the mean of its divisors is an integer number (12280105256167).

Almost surely, 2110445533620249 is an apocalyptic number.

110445533620249 is the 10509307-th square number.

110445533620249 is the 5254654-th centered octagonal number.

It is an amenable number.

110445533620249 is a deficient number, since it is larger than the sum of its proper divisors (75413685254).

110445533620249 is an frugal number, since it uses more digits than its factorization.

110445533620249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 110445533620249 in words is "one hundred ten trillion, four hundred forty-five billion, five hundred thirty-three million, six hundred twenty thousand, two hundred forty-nine".

Divisors: 1 2053 5119 4214809 10509307 26204161 21575607271 53797142533 110445533620249