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114791538481 = 37291572
BaseRepresentation
bin110101011101000011…
…0111101111100110001
3101222022000112100111021
41222322012331330301
53340043113212411
6124422353015441
711202432656254
oct1527206757461
9358260470437
10114791538481
1144756915974
121a2b7554581
13aa950cac89
1457ad6dd09b
152ebcac2a71
hex1aba1bdf31

114791538481 has 9 divisors (see below), whose sum is σ = 117990748449. Its totient is φ = 111676867344.

The previous prime is 114791538437. The next prime is 114791538487. The reversal of 114791538481 is 184835197411.

The square root of 114791538481 is 338809.

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

It can be written as a sum of positive squares in 4 ways, for example, as 195748081 + 114595790400 = 13991^2 + 338520^2 .

It is not a de Polignac number, because 114791538481 - 27 = 114791538353 is a prime.

It is a super-2 number, since 2×1147915384812 (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 (114791538487) 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, 12531355 + ... + 12540511.

It is an arithmetic number, because the mean of its divisors is an integer number (13110083161).

Almost surely, 2114791538481 is an apocalyptic number.

114791538481 is the 338809-th square number.

114791538481 is the 169405-th centered octagonal number.

It is an amenable number.

114791538481 is a deficient number, since it is larger than the sum of its proper divisors (3199209968).

114791538481 is an frugal number, since it uses more digits than its factorization.

114791538481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18388 (or 9194 counting only the distinct ones).

The product of its digits is 967680, while the sum is 52.

The spelling of 114791538481 in words is "one hundred fourteen billion, seven hundred ninety-one million, five hundred thirty-eight thousand, four hundred eighty-one".

Divisors: 1 37 1369 9157 338809 12535933 83850649 3102474013 114791538481