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41144252833 = 7925712231657
BaseRepresentation
bin100110010100011000…
…110111100110100001
310221012102011121022001
4212110120313212201
51133230412042313
630522412044001
72654410243615
oct462430674641
9127172147261
1041144252833
11164a3949142
127b83163601
133b59158748
141dc4549345
15110c1aeadd
hex9946379a1

41144252833 has 16 divisors (see below), whose sum is σ = 41886650880. Its totient is φ = 40407883776.

The previous prime is 41144252813. The next prime is 41144252837. The reversal of 41144252833 is 33825244114.

It is a cyclic number.

It is not a de Polignac number, because 41144252833 - 29 = 41144252321 is a prime.

It is a super-3 number, since 3×411442528333 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41144252792 and 41144252801.

It is not an unprimeable number, because it can be changed into a prime (41144252837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24829741 + ... + 24831397.

It is an arithmetic number, because the mean of its divisors is an integer number (2617915680).

Almost surely, 241144252833 is an apocalyptic number.

It is an amenable number.

41144252833 is a deficient number, since it is larger than the sum of its proper divisors (742398047).

41144252833 is a wasteful number, since it uses less digits than its factorization.

41144252833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216.

The product of its digits is 92160, while the sum is 37.

Adding to 41144252833 its reverse (33825244114), we get a palindrome (74969496947).

The spelling of 41144252833 in words is "forty-one billion, one hundred forty-four million, two hundred fifty-two thousand, eight hundred thirty-three".

Divisors: 1 79 257 1223 1657 20303 96617 130903 314311 425849 2026511 24830569 33642071 160094369 520813327 41144252833