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114757660081 = 172199272
BaseRepresentation
bin110101011100000010…
…1101110110110110001
3101222012122210011001201
41222320011232312301
53340010430110311
6124415142531201
711201542005361
oct1527005566661
9358178704051
10114757660081
1144739786599
121a2a8136b01
13aa8b09889c
1457a90009a1
152eb9b2e9c1
hex1ab816edb1

114757660081 has 9 divisors (see below), whose sum is σ = 121911313899. Its totient is φ = 108001789344.

The previous prime is 114757660033. The next prime is 114757660123. The reversal of 114757660081 is 180066757411.

The square root of 114757660081 is 338759.

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., 89344199025 + 25413461056 = 298905^2 + 159416^2 .

It is not a de Polignac number, because 114757660081 - 225 = 114724105649 is a prime.

It is a super-2 number, since 2×1147576600812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114757660181) 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, 5748940 + ... + 5768866.

Almost surely, 2114757660081 is an apocalyptic number.

114757660081 is the 338759-th square number.

114757660081 is the 169380-th centered octagonal number.

It is an amenable number.

114757660081 is a deficient number, since it is larger than the sum of its proper divisors (7153653818).

114757660081 is an frugal number, since it uses more digits than its factorization.

114757660081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39888 (or 19944 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 114757660081 in words is "one hundred fourteen billion, seven hundred fifty-seven million, six hundred sixty thousand, eighty-one".

Divisors: 1 17 289 19927 338759 5758903 397085329 6750450593 114757660081