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41212003104 = 2532701204133
BaseRepresentation
bin100110011000011011…
…010100001100100000
310221101010122200012100
4212120123110030200
51133400233044404
630533232130400
72656162150356
oct463033241440
9127333580170
1041212003104
11165291129a8
127ba1996a00
133b6a1ba26c
141dcd5437d6
1511130e3d39
hex9986d4320

41212003104 has 72 divisors (see below), whose sum is σ = 117364393692. Its totient is φ = 13717670400.

The previous prime is 41212003103. The next prime is 41212003127. The reversal of 41212003104 is 40130021214.

It can be written as a sum of positive squares in 2 ways, for example, as 40957664400 + 254338704 = 202380^2 + 15948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41212003103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99822 + ... + 303954.

Almost surely, 241212003104 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 41212003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58682196846).

41212003104 is an abundant number, since it is smaller than the sum of its proper divisors (76152390588).

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

41212003104 is a wasteful number, since it uses less digits than its factorization.

41212003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204850 (or 204839 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41212003104 its reverse (40130021214), we get a palindrome (81342024318).

The spelling of 41212003104 in words is "forty-one billion, two hundred twelve million, three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 701 1402 2103 2804 4206 5608 6309 8412 11216 12618 16824 22432 25236 33648 50472 67296 100944 201888 204133 408266 612399 816532 1224798 1633064 1837197 2449596 3266128 3674394 4899192 6532256 7348788 9798384 14697576 19596768 29395152 58790304 143097233 286194466 429291699 572388932 858583398 1144777864 1287875097 1717166796 2289555728 2575750194 3434333592 4579111456 5151500388 6868667184 10303000776 13737334368 20606001552 41212003104