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42341704441 = 34725932
BaseRepresentation
bin100111011011110000…
…110010001011111001
311001021212101110002121
4213123300302023321
51143203434020231
631241305401241
73026160356311
oct473360621371
9131255343077
1042341704441
1116a58874273
128258199221
133cba269caa
1420995b4441
15117c395311
hex9dbc322f9

42341704441 has 9 divisors (see below), whose sum is σ = 42535807951. Its totient is φ = 42148485472.

The previous prime is 42341704439. The next prime is 42341704451. The reversal of 42341704441 is 14440714324.

The square root of 42341704441 is 205771.

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., 26035436025 + 16306268416 = 161355^2 + 127696^2 .

It is not a de Polignac number, because 42341704441 - 21 = 42341704439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42341704397 and 42341704406.

It is not an unprimeable number, because it can be changed into a prime (42341704451) 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, 71402241 + ... + 71402833.

Almost surely, 242341704441 is an apocalyptic number.

42341704441 is the 205771-st square number.

42341704441 is the 102886-th centered octagonal number.

It is an amenable number.

42341704441 is a deficient number, since it is larger than the sum of its proper divisors (194103510).

42341704441 is an frugal number, since it uses more digits than its factorization.

42341704441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 42341704441 in words is "forty-two billion, three hundred forty-one million, seven hundred four thousand, four hundred forty-one".

Divisors: 1 347 593 120409 205771 351649 71402537 122022203 42341704441