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41034142044 = 223274712292819
BaseRepresentation
bin100110001101110100…
…110101000101011100
310220220201222101200200
4212031310311011130
51133014220021134
630503440023500
72651602311120
oct461564650534
9126821871620
1041034142044
1116447781295
127b52301b90
133b3c3b4b2c
141db3a85580
1511026ae499
hex98dd3515c

41034142044 has 144 divisors (see below), whose sum is σ = 121206758400. Its totient is φ = 11461189248.

The previous prime is 41034142021. The next prime is 41034142063. The reversal of 41034142044 is 44024143014.

41034142044 is a `hidden beast` number, since 41 + 0 + 3 + 414 + 204 + 4 = 666.

41034142044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41034141999 and 41034142017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14554867 + ... + 14557685.

It is an arithmetic number, because the mean of its divisors is an integer number (841713600).

Almost surely, 241034142044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41034142044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60603379200).

41034142044 is an abundant number, since it is smaller than the sum of its proper divisors (80172616356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41034142044 is a wasteful number, since it uses less digits than its factorization.

41034142044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41034142044 its reverse (44024143014), we get a palindrome (85058285058).

The spelling of 41034142044 in words is "forty-one billion, thirty-four million, one hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1229 1316 1692 1974 2458 2819 2961 3687 3948 4916 5638 5922 7374 8457 8603 11061 11276 11844 14748 16914 17206 19733 22122 25371 25809 33828 34412 39466 44244 50742 51618 57763 59199 77427 78932 101484 103236 115526 118398 132493 154854 173289 177597 231052 236796 264986 309708 346578 355194 397479 404341 519867 529972 693156 710388 794958 808682 927451 1039734 1192437 1213023 1589916 1617364 1854902 2079468 2384874 2426046 2782353 3464551 3639069 3709804 4769748 4852092 5564706 6929102 7278138 8347059 10393653 11129412 13858204 14556276 16694118 20787306 24251857 31180959 33388236 41574612 48503714 62361918 72755571 97007428 124723836 145511142 162833897 218266713 291022284 325667794 436533426 488501691 651335588 873066852 977003382 1139837279 1465505073 1954006764 2279674558 2931010146 3419511837 4559349116 5862020292 6839023674 10258535511 13678047348 20517071022 41034142044