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194314337721 = 347269972
BaseRepresentation
bin1011010011111000001…
…0010111110110111001
3200120120002201010010000
42310332002113312321
511140423432301341
6225133342343213
720016201422100
oct2647602276671
9616502633100
10194314337721
1175454417a59
12317ab58ab09
131542940127a
149594d39037
1550c422d8b6
hex2d3e097db9

194314337721 has 45 divisors (see below), whose sum is σ = 337711653279. Its totient is φ = 111020895216.

The previous prime is 194314337683. The next prime is 194314337747. The reversal of 194314337721 is 127733413491.

The square root of 194314337721 is 440811.

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

194314337721 is a `hidden beast` number, since 194 + 3 + 1 + 433 + 7 + 7 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62083197225 + 132231140496 = 249165^2 + 363636^2 .

It is not a de Polignac number, because 194314337721 - 29 = 194314337209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (194314317721) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27767595 + ... + 27774591.

Almost surely, 2194314337721 is an apocalyptic number.

194314337721 is the 440811-st square number.

194314337721 is the 220406-th centered octagonal number.

It is an amenable number.

194314337721 is a deficient number, since it is larger than the sum of its proper divisors (143397315558).

194314337721 is an frugal number, since it uses more digits than its factorization.

194314337721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14020 (or 7007 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 194314337721 in words is "one hundred ninety-four billion, three hundred fourteen million, three hundred thirty-seven thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 6997 20991 48979 62973 146937 188919 342853 440811 566757 1028559 1322433 3085677 3967299 9257031 27771093 48958009 146874027 342706063 440622081 1028118189 1321866243 2398942441 3084354567 3965598729 7196827323 9253063701 21590481969 27759191103 64771445907 194314337721