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3741048404041 = 1321487832
BaseRepresentation
bin110110011100000111110…
…111000111100001001001
3111020122022002120122122211
4312130013313013201021
5442243131342412131
611542340334345121
7534165444522004
oct66340767074111
914218262518584
103741048404041
11121262a327933
1250505965b1a1
13211a19306400
14cd0d3b1653b
15674a73765b1
hex36707dc7849

3741048404041 has 9 divisors (see below), whose sum is σ = 4050984966759. Its totient is φ = 3453252239736.

The previous prime is 3741048404039. The next prime is 3741048404081. The reversal of 3741048404041 is 1404048401473.

The square root of 3741048404041 is 1934179.

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., 553409527225 + 3187638876816 = 743915^2 + 1785396^2 .

It is not a de Polignac number, because 3741048404041 - 21 = 3741048404039 is a prime.

It is a super-2 number, since 2×37410484040412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3741048403985 and 3741048404003.

It is not an unprimeable number, because it can be changed into a prime (3741048404011) 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, 25069936 + ... + 25218718.

It is an arithmetic number, because the mean of its divisors is an integer number (450109440751).

Almost surely, 23741048404041 is an apocalyptic number.

3741048404041 is the 1934179-th square number.

3741048404041 is the 967090-th centered octagonal number.

It is an amenable number.

3741048404041 is a deficient number, since it is larger than the sum of its proper divisors (309936562718).

3741048404041 is an frugal number, since it uses more digits than its factorization.

3741048404041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297592 (or 148796 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 3741048404041 in words is "three trillion, seven hundred forty-one billion, forty-eight million, four hundred four thousand, forty-one".

Divisors: 1 13 169 148783 1934179 25144327 22136381089 287772954157 3741048404041