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5414444145 = 32511231732749
BaseRepresentation
bin1010000101011100…
…11101110001110001
3111222100020021001100
411002232131301301
542042044203040
62253134155013
7251114005305
oct50256356161
914870207040
105414444145
112329349030
121071352a69
13683989806
14395145d05
1521a51eb30
hex142b9dc71

5414444145 has 96 divisors (see below), whose sum is σ = 10749024000. Its totient is φ = 2495623680.

The previous prime is 5414444141. The next prime is 5414444171.

5414444145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5414444145 - 22 = 5414444141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5414444141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1968231 + ... + 1970979.

It is an arithmetic number, because the mean of its divisors is an integer number (111969000).

Almost surely, 25414444145 is an apocalyptic number.

5414444145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5414444145 is a deficient number, since it is larger than the sum of its proper divisors (5334579855).

5414444145 is a wasteful number, since it uses less digits than its factorization.

5414444145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2964 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 5414444145 is about 73582.9066088042. The cubic root of 5414444145 is about 1755.9735071795.

It can be divided in two parts, 54144 and 44145, that added together give a palindrome (98289).

The spelling of 5414444145 in words is "five billion, four hundred fourteen million, four hundred forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 23 33 45 55 69 99 115 165 173 207 253 345 495 519 759 865 1035 1265 1557 1903 2277 2595 2749 3795 3979 5709 7785 8247 9515 11385 11937 13745 17127 19895 24741 28545 30239 35811 41235 43769 59685 63227 85635 90717 123705 131307 151195 179055 189681 218845 272151 316135 393921 453585 475577 569043 656535 695497 948405 1360755 1426731 1969605 2086491 2377885 2845215 3477485 4280193 5231347 6259473 7133655 10432455 10938271 15694041 21400965 26156735 31297365 32814813 47082123 54691355 78470205 98444439 120320981 164074065 235410615 360962943 492222195 601604905 1082888829 1804814715 5414444145