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441311300244 = 223323930755691
BaseRepresentation
bin1100110110000000011…
…01000000101010010100
31120012002202001212021000
412123000031000222110
524212301143101434
6534422520423300
743612051105413
oct6330015005224
91505082055230
10441311300244
111601827a6751
1271642317b30
13328002841b9
141750699347a
15b72d5a3b99
hex66c0340a94

441311300244 has 96 divisors (see below), whose sum is σ = 1152690739200. Its totient is φ = 146008487520.

The previous prime is 441311300231. The next prime is 441311300249. The reversal of 441311300244 is 442003113144.

441311300244 is a `hidden beast` number, since 4 + 4 + 1 + 311 + 300 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441311300249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7896439 + ... + 7952129.

It is an arithmetic number, because the mean of its divisors is an integer number (12007195200).

Almost surely, 2441311300244 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 441311300244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576345369600).

441311300244 is an abundant number, since it is smaller than the sum of its proper divisors (711379438956).

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

441311300244 is a wasteful number, since it uses less digits than its factorization.

441311300244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56250 (or 56242 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 441311300244 its reverse (442003113144), we get a palindrome (883314413388).

The spelling of 441311300244 in words is "four hundred forty-one billion, three hundred eleven million, three hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 307 478 614 717 921 956 1228 1434 1842 2151 2763 2868 3684 4302 5526 6453 8289 8604 11052 12906 16578 25812 33156 55691 73373 111382 146746 167073 220119 222764 293492 334146 440238 501219 660357 668292 880476 1002438 1320714 1503657 1981071 2004876 2641428 3007314 3962142 6014628 7924284 13310149 17097137 26620298 34194274 39930447 51291411 53240596 68388548 79860894 102582822 119791341 153874233 159721788 205165644 239582682 307748466 359374023 461622699 479165364 615496932 718748046 923245398 1437496092 1846490796 4086215743 8172431486 12258647229 16344862972 24517294458 36775941687 49034588916 73551883374 110327825061 147103766748 220655650122 441311300244