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114365036041 = 312109092
BaseRepresentation
bin110101010000010101…
…1111111011000001001
3101221012021222210010121
41222200223333120021
53333204422123131
6124312155343241
711156033524024
oct1524053773011
9357167883117
10114365036041
1144558099313
121a1b8751b21
13aa2793a679
14576cbda1bb
152e95426911
hex1aa0aff609

114365036041 has 9 divisors (see below), whose sum is σ = 118184070663. Its totient is φ = 110665695960.

The previous prime is 114365036039. The next prime is 114365036053. The reversal of 114365036041 is 140630563411.

The square root of 114365036041 is 338179.

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., 26902888441 + 87462147600 = 164021^2 + 295740^2 .

It is not a de Polignac number, because 114365036041 - 21 = 114365036039 is a prime.

It is a super-2 number, since 2×1143650360412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114365035988 and 114365036006.

It is not an unprimeable number, because it can be changed into a prime (114365036011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10478095 + ... + 10489003.

It is an arithmetic number, because the mean of its divisors is an integer number (13131563407).

Almost surely, 2114365036041 is an apocalyptic number.

114365036041 is the 338179-th square number.

114365036041 is the 169090-th centered octagonal number.

It is an amenable number.

114365036041 is a deficient number, since it is larger than the sum of its proper divisors (3819034622).

114365036041 is an frugal number, since it uses more digits than its factorization.

114365036041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21880 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 114365036041 its reverse (140630563411), we get a palindrome (254995599452).

The spelling of 114365036041 in words is "one hundred fourteen billion, three hundred sixty-five million, thirty-six thousand, forty-one".

Divisors: 1 31 961 10909 338179 10483549 119006281 3689194711 114365036041