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161018415441 = 32132102892
BaseRepresentation
bin1001010111110101110…
…0100000100101010001
3120101121122120000100100
42111331130200211101
510114231203243231
6201545411243013
714430120643302
oct2257534404521
9511548500310
10161018415441
1162318774814
12272588a9469
1312251253c00
147b16c967a9
1542c60aa1e6
hex257d720951

161018415441 has 27 divisors (see below), whose sum is σ = 251873796369. Its totient is φ = 99078625152.

The previous prime is 161018415427. The next prime is 161018415469. The reversal of 161018415441 is 144514810161.

The square root of 161018415441 is 401271.

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

161018415441 is a `hidden beast` number, since 1 + 6 + 101 + 8 + 4 + 1 + 544 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 541260225 + 160477155216 = 23265^2 + 400596^2 .

It is not a de Polignac number, because 161018415441 - 25 = 161018415409 is a prime.

It is a super-3 number, since 3×1610184154413 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 161018415396 and 161018415405.

It is not an unprimeable number, because it can be changed into a prime (161018415401) 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, 15644425 + ... + 15654713.

Almost surely, 2161018415441 is an apocalyptic number.

161018415441 is the 401271-st square number.

161018415441 is the 200636-th centered octagonal number.

It is an amenable number.

161018415441 is a deficient number, since it is larger than the sum of its proper divisors (90855380928).

161018415441 is an frugal number, since it uses more digits than its factorization.

161018415441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20610 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Multiplying 161018415441 by its sum of digits (36), we get a square (5796662955876 = 24076262).

It can be divided in two parts, 1610184 and 15441, that added together give a square (1625625 = 12752).

The spelling of 161018415441 in words is "one hundred sixty-one billion, eighteen million, four hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 10289 30867 92601 133757 401271 1203813 1738841 5216523 15649569 105863521 317590563 952771689 1376225773 4128677319 12386031957 17890935049 53672805147 161018415441