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41243922720 = 253257111323171
BaseRepresentation
bin100110011010010101…
…000101000100100000
310221110100201100200100
4212122111011010200
51133431421011340
630540332222400
72660030362440
oct463225050440
9127410640610
1041243922720
1116545134650
127bb060aa00
133b739b4c00
141dd3892120
151115ceb830
hex99a545120

41243922720 has 1728 divisors, whose sum is σ = 198902366208. Its totient is φ = 7547904000.

The previous prime is 41243922703. The next prime is 41243922743. The reversal of 41243922720 is 2722934214.

It is a happy number.

It is a super-2 number, since 2×412439227202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 580900285 + ... + 580900355.

It is an arithmetic number, because the mean of its divisors is an integer number (115105536).

Almost surely, 241243922720 is an apocalyptic number.

41243922720 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 41243922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99451183104).

41243922720 is an abundant number, since it is smaller than the sum of its proper divisors (157658443488).

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

41243922720 is a wasteful number, since it uses less digits than its factorization.

41243922720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 41243922720 in words is "forty-one billion, two hundred forty-three million, nine hundred twenty-two thousand, seven hundred twenty".