Search a number
-
+
109845182041 = 7211324192
BaseRepresentation
bin110011001001101001…
…0000111011001011001
3101111112022002102001121
41212103102013121121
53244430331311131
6122243455245241
710636031433100
oct1462322073131
9344468072047
10109845182041
1142648818091
1219356b19821
13a48740204a
145460803037
152ccd715911
hex1993487659

109845182041 has 27 divisors (see below), whose sum is σ = 129228303711. Its totient is φ = 93097080384.

The previous prime is 109845182023. The next prime is 109845182047. The reversal of 109845182041 is 140281548901.

The square root of 109845182041 is 331429.

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., 1935560025 + 107909622016 = 43995^2 + 328496^2 .

It is not a de Polignac number, because 109845182041 - 225 = 109811627609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109845182047) 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, 262160130 + ... + 262160548.

Almost surely, 2109845182041 is an apocalyptic number.

109845182041 is the 331429-th square number.

109845182041 is the 165715-th centered octagonal number.

It is an amenable number.

109845182041 is a deficient number, since it is larger than the sum of its proper divisors (19383121670).

109845182041 is an frugal number, since it uses more digits than its factorization.

109845182041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The spelling of 109845182041 in words is "one hundred nine billion, eight hundred forty-five million, one hundred eighty-two thousand, forty-one".

Divisors: 1 7 49 113 419 791 2933 5537 12769 20531 47347 89383 175561 331429 625681 1228927 2320003 5350211 8602489 19838393 37451477 138868751 262160339 972081257 2241738409 15692168863 109845182041