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41212008000 = 2632531274507
BaseRepresentation
bin100110011000011011…
…010101011001000000
310221101010122220220200
4212120123111121000
51133400233224000
630533232205200
72656162200552
oct463033253100
9127333586820
1041212008000
1116529116649
127ba1999800
133b6a1bc567
141dcd5454d2
1511130e5500
hex9986d5640

41212008000 has 336 divisors, whose sum is σ = 148615993344. Its totient is φ = 10900915200.

The previous prime is 41212007981. The next prime is 41212008023. The reversal of 41212008000 is 80021214.

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

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, 9141747 + ... + 9146253.

It is an arithmetic number, because the mean of its divisors is an integer number (442309504).

Almost surely, 241212008000 is an apocalyptic number.

41212008000 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 41212008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74307996672).

41212008000 is an abundant number, since it is smaller than the sum of its proper divisors (107403985344).

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

41212008000 is a wasteful number, since it uses less digits than its factorization.

41212008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 41212008000 its reverse (80021214), we get a palindrome (41292029214).

The spelling of 41212008000 in words is "forty-one billion, two hundred twelve million, eight thousand".