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41042112132 = 22374323348767
BaseRepresentation
bin100110001110010011…
…001110111010000100
310220221021222022121010
4212032103032322010
51133023240042012
630504322522220
72652030124410
oct461623167204
9126837868533
1041042112132
111645122533a
127b54b06370
133b40c45768
141db4b5bd40
151103235c3c
hex98e4cee84

41042112132 has 96 divisors (see below), whose sum is σ = 112473833472. Its totient is φ = 11404221696.

The previous prime is 41042112119. The next prime is 41042112143. The reversal of 41042112132 is 23121124014.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 41042112099 and 41042112108.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 817213 + ... + 865979.

It is an arithmetic number, because the mean of its divisors is an integer number (1171602432).

Almost surely, 241042112132 is an apocalyptic number.

41042112132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41042112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56236916736).

41042112132 is an abundant number, since it is smaller than the sum of its proper divisors (71431721340).

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

41042112132 is a wasteful number, since it uses less digits than its factorization.

41042112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49057 (or 49055 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41042112132 its reverse (23121124014), we get a palindrome (64163236146).

The spelling of 41042112132 in words is "forty-one billion, forty-two million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 233 258 301 466 516 602 699 903 932 1204 1398 1631 1806 2796 3262 3612 4893 6524 9786 10019 19572 20038 30057 40076 48767 60114 70133 97534 120228 140266 146301 195068 210399 280532 292602 341369 420798 585204 682738 841596 1024107 1365476 2048214 2096981 4096428 4193962 6290943 8387924 11362711 12581886 14678867 22725422 25163772 29357734 34088133 44036601 45450844 58715468 68176266 79538977 88073202 136352532 159077954 176146404 238616931 318155908 477233862 488596573 954467724 977193146 1465789719 1954386292 2931579438 3420176011 5863158876 6840352022 10260528033 13680704044 20521056066 41042112132