Search a number
-
+
3001746541741 is a prime number
BaseRepresentation
bin101011101011100110000…
…010010100110010101101
3101121222000212200210022021
4223223212002110302231
5343140034103313431
610214552221550141
7426604035421363
oct53534602246255
911558025623267
103001746541741
11a58040738402
12405912a15351
1318a0a962375c
14a53dcc55633
1553137c3cb11
hex2bae6094cad

3001746541741 has 2 divisors, whose sum is σ = 3001746541742. Its totient is φ = 3001746541740.

The previous prime is 3001746541733. The next prime is 3001746541751. The reversal of 3001746541741 is 1471456471003.

It is a happy number.

3001746541741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2673470255625 + 328276286116 = 1635075^2 + 572954^2 .

It is a cyclic number.

It is not a de Polignac number, because 3001746541741 - 23 = 3001746541733 is a prime.

It is a super-2 number, since 2×30017465417412 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3001746541751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500873270870 + 1500873270871.

It is an arithmetic number, because the mean of its divisors is an integer number (1500873270871).

Almost surely, 23001746541741 is an apocalyptic number.

It is an amenable number.

3001746541741 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001746541741 is an equidigital number, since it uses as much as digits as its factorization.

3001746541741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 3001746541741 in words is "three trillion, one billion, seven hundred forty-six million, five hundred forty-one thousand, seven hundred forty-one".