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134409491161 = 112333292
BaseRepresentation
bin111110100101101101…
…1100001001011011001
3110211221020011121100021
41331023123201023121
54200232312204121
6141425153510441
712465535552501
oct1751333411331
9424836147307
10134409491161
1152003721100
1222071572421
13c8a05ab8ba
146710d74a01
15376a024641
hex1f4b6e12d9

134409491161 has 9 divisors (see below), whose sum is σ = 147743790943. Its totient is φ = 122186780320.

The previous prime is 134409491159. The next prime is 134409491173. The reversal of 134409491161 is 161194904431.

The square root of 134409491161 is 366619.

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., 94329451161 + 40080040000 = 307131^2 + 200200^2 .

It is not a de Polignac number, because 134409491161 - 21 = 134409491159 is a prime.

It is a super-3 number, since 3×1344094911613 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134409491191) 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, 4016145 + ... + 4049473.

Almost surely, 2134409491161 is an apocalyptic number.

134409491161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134409491161 is the 366619-th square number.

134409491161 is the 183310-th centered octagonal number.

It is an amenable number.

134409491161 is a deficient number, since it is larger than the sum of its proper divisors (13334299782).

134409491161 is an frugal number, since it uses more digits than its factorization.

134409491161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66680 (or 33340 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 134409491161 in words is "one hundred thirty-four billion, four hundred nine million, four hundred ninety-one thousand, one hundred sixty-one".

Divisors: 1 11 121 33329 366619 4032809 1110822241 12219044651 134409491161