Search a number
-
+
41065142325441 = 3135810711812089
BaseRepresentation
bin10010101011001001110010…
…01110001001000011000001
312101101210022101010102220120
421111210321032021003001
520340302402413403231
6223201022124530453
711435600336321643
oct1125447116110301
9171353271112816
1041065142325441
11120a26a1305263
1247328490b0a29
1319bb5707919b0
14a1d7c6324893
154b32ea3a2d96
hex2559393890c1

41065142325441 has 16 divisors (see below), whose sum is σ = 58965466586880. Its totient is φ = 25270799379840.

The previous prime is 41065142325401. The next prime is 41065142325481. The reversal of 41065142325441 is 14452324156014.

It is an interprime number because it is at equal distance from previous prime (41065142325401) and next prime (41065142325481).

It is not a de Polignac number, because 41065142325441 - 29 = 41065142324929 is a prime.

It is a super-2 number, since 2×410651423254412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41065142325393 and 41065142325402.

It is not an unprimeable number, because it can be changed into a prime (41065142325401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21755725 + ... + 23567813.

It is an arithmetic number, because the mean of its divisors is an integer number (3685341661680).

Almost surely, 241065142325441 is an apocalyptic number.

It is an amenable number.

41065142325441 is a deficient number, since it is larger than the sum of its proper divisors (17900324261439).

41065142325441 is a wasteful number, since it uses less digits than its factorization.

41065142325441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393176.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 41065142325441 in words is "forty-one trillion, sixty-five billion, one hundred forty-two million, three hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 3 13 39 581071 1743213 1812089 5436267 7553923 22661769 23557157 70671471 1052952367319 3158857101957 13688380775147 41065142325441