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41001322000 = 245361933119
BaseRepresentation
bin100110001011110111…
…101000011000010000
310220211110012222001111
4212023313220120100
51132432314301000
630500304343104
72651023325632
oct461367503020
9126743188044
1041001322000
11164301a5091
127b43314a94
133b356633a2
141dad580a52
1510ee879cba
hex98bde8610

41001322000 has 80 divisors (see below), whose sum is σ = 99304358400. Its totient is φ = 16373539200.

The previous prime is 41001321989. The next prime is 41001322013. The reversal of 41001322000 is 22310014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×410013220002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221441 + ... + 1254559.

It is an arithmetic number, because the mean of its divisors is an integer number (1241304480).

Almost surely, 241001322000 is an apocalyptic number.

41001322000 is a gapful number since it is divisible by the number (40) 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 41001322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49652179200).

41001322000 is an abundant number, since it is smaller than the sum of its proper divisors (58303036400).

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

41001322000 is a wasteful number, since it uses less digits than its factorization.

41001322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33761 (or 33745 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 41001322000 its reverse (22310014), we get a palindrome (41023632014).

The spelling of 41001322000 in words is "forty-one billion, one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 619 1000 1238 2000 2476 3095 4952 6190 9904 12380 15475 24760 30950 33119 49520 61900 66238 77375 123800 132476 154750 165595 247600 264952 309500 331190 529904 619000 662380 827975 1238000 1324760 1655950 2649520 3311900 4139875 6623800 8279750 13247600 16559500 20500661 33119000 41001322 66238000 82002644 102503305 164005288 205006610 328010576 410013220 512516525 820026440 1025033050 1640052880 2050066100 2562582625 4100132200 5125165250 8200264400 10250330500 20500661000 41001322000