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4084323782841 = 32191235272
BaseRepresentation
bin111011011011110100101…
…010110001000010111001
3112110110100112202200221100
4323123310222301002321
51013404143342022331
612404151253202013
7601040231223441
oct73336452610271
915413315680840
104084323782841
11133517432a7a5
1255b69b930309
132381c4958c23
1410197a433121
1571398d59ae6
hex3b6f4ab10b9

4084323782841 has 27 divisors (see below), whose sum is σ = 5932310331493. Its totient is φ = 2707858623480.

The previous prime is 4084323782831. The next prime is 4084323782863. The reversal of 4084323782841 is 1482873234804.

The square root of 4084323782841 is 2020971.

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

It is not a de Polignac number, because 4084323782841 - 25 = 4084323782809 is a prime.

It is a super-2 number, since 2×40843237828412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4084323782801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1158014620 + ... + 1158018146.

Almost surely, 24084323782841 is an apocalyptic number.

4084323782841 is the 2020971-st square number.

4084323782841 is the 1010486-th centered octagonal number.

It is an amenable number.

4084323782841 is a deficient number, since it is larger than the sum of its proper divisors (1847986548652).

4084323782841 is an frugal number, since it uses more digits than its factorization.

4084323782841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4084323782841 in words is "four trillion, eighty-four billion, three hundred twenty-three million, seven hundred eighty-two thousand, eight hundred forty-one".

Divisors: 1 3 9 191 573 1719 3527 10581 31743 36481 109443 328329 673657 2020971 6062913 12439729 37319187 111957561 128668487 386005461 1158016383 2375988239 7127964717 21383894151 453813753649 1361441260947 4084323782841