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41000112400 = 24521359913163
BaseRepresentation
bin100110001011110011…
…000001000100010000
310220211100221111210111
4212023303001010100
51132432012044100
630500222411104
72651010130252
oct461363010420
9126740844714
1041000112400
111642a549315
127b42a30a94
133b3532b950
141dad347cd2
1510ee6db6ba
hex98bcc1110

41000112400 has 120 divisors (see below), whose sum is σ = 106265073600. Its totient is φ = 15112081920.

The previous prime is 41000112383. The next prime is 41000112403. The reversal of 41000112400 is 421100014.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (41000112403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3108219 + ... + 3121381.

It is an arithmetic number, because the mean of its divisors is an integer number (885542280).

Almost surely, 241000112400 is an apocalyptic number.

41000112400 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 41000112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53132536800).

41000112400 is an abundant number, since it is smaller than the sum of its proper divisors (65264961200).

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

41000112400 is a wasteful number, since it uses less digits than its factorization.

41000112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 41000112400 its reverse (421100014), we get a palindrome (41421212414).

The spelling of 41000112400 in words is "forty-one billion, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 599 650 1040 1198 1300 2396 2600 2995 4792 5200 5990 7787 9584 11980 13163 14975 15574 23960 26326 29950 31148 38935 47920 52652 59900 62296 65815 77870 105304 119800 124592 131630 155740 171119 194675 210608 239600 263260 311480 329075 342238 389350 526520 622960 658150 684476 778700 855595 1053040 1316300 1368952 1557400 1711190 2632600 2737904 3114800 3422380 4277975 5265200 6844760 7884637 8555950 13689520 15769274 17111900 31538548 34223800 39423185 63077096 68447600 78846370 102500281 126154192 157692740 197115925 205000562 315385480 394231850 410001124 512501405 630770960 788463700 820002248 1025002810 1576927400 1640004496 2050005620 2562507025 3153854800 4100011240 5125014050 8200022480 10250028100 20500056200 41000112400