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134361101809 = 1124727092
BaseRepresentation
bin111110100100010001…
…0111011010111110001
3110211210212010011122001
41331020202323113301
54200132420224214
6141420304414001
712464410343614
oct1751042732761
9424725104561
10134361101809
1151a89380500
1222059317301
13c89356864c
14670877a17b
153765b66c74
hex1f488bb5f1

134361101809 has 27 divisors (see below), whose sum is σ = 151108413771. Its totient is φ = 119378981040.

The previous prime is 134361101807. The next prime is 134361101827. The reversal of 134361101809 is 908101163431.

It is a happy number.

The square root of 134361101809 is 366553.

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., 17930013409 + 116431088400 = 133903^2 + 341220^2 .

It is not a de Polignac number, because 134361101809 - 21 = 134361101807 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134361101807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189507547 + ... + 189508255.

Almost surely, 2134361101809 is an apocalyptic number.

134361101809 is the 366553-rd square number.

134361101809 is the 183277-th centered octagonal number.

It is an amenable number.

134361101809 is a deficient number, since it is larger than the sum of its proper divisors (16747311962).

134361101809 is an frugal number, since it uses more digits than its factorization.

134361101809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 134361101809 in words is "one hundred thirty-four billion, three hundred sixty-one million, one hundred one thousand, eight hundred nine".

Divisors: 1 11 47 121 517 709 2209 5687 7799 24299 33323 85789 267289 366553 502681 1566181 4032083 5529491 17227991 23626007 60824401 189507901 259886077 1110422329 2858746847 12214645619 134361101809