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41001244029 = 322943284961
BaseRepresentation
bin100110001011110111…
…010101010101111101
310220211110002000002200
4212023313111111331
51132432304302104
630500302542113
72651022552414
oct461367252575
9126743060080
1041001244029
1116430151549
127b43297939
133b35636a55
141dad56047b
1510ee861b39
hex98bdd557d

41001244029 has 36 divisors (see below), whose sum is σ = 62724895740. Its totient is φ = 25777543680.

The previous prime is 41001244019. The next prime is 41001244061. The reversal of 41001244029 is 92044210014.

It is a happy number.

41001244029 is a `hidden beast` number, since 410 + 0 + 1 + 244 + 0 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25504728804 + 15496515225 = 159702^2 + 124485^2 .

It is not a de Polignac number, because 41001244029 - 24 = 41001244013 is a prime.

It is a super-2 number, since 2×410012440292 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41001243993 and 41001244011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001244019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 440109 + ... + 525069.

It is an arithmetic number, because the mean of its divisors is an integer number (1742358215).

Almost surely, 241001244029 is an apocalyptic number.

It is an amenable number.

41001244029 is a deficient number, since it is larger than the sum of its proper divisors (21723651711).

41001244029 is a wasteful number, since it uses less digits than its factorization.

41001244029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85082 (or 85036 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 41001244029 in words is "forty-one billion, one million, two hundred forty-four thousand, twenty-nine".

Divisors: 1 3 9 29 43 87 129 261 387 1247 1849 3741 5547 11223 16641 53621 84961 160863 254883 482589 764649 2463869 3653323 7391607 10959969 22174821 32879907 105946367 157092889 317839101 471278667 953517303 1413836001 4555693781 13667081343 41001244029