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20441125055340 = 2232511411399917987
BaseRepresentation
bin1001010010111010100011…
…11111110110101101101100
32200101011010011002010221100
410221131101333312231230
510134401411003232330
6111250305003003100
74206552064102263
oct451352177665554
980334104063840
1020441125055340
11657103a216180
122361763509490
13b53788ab8742
145094da1ad5da
15256ac1deb060
hex129751ff6b6c

20441125055340 has 288 divisors, whose sum is σ = 69300137088000. Its totient is φ = 4833946137600.

The previous prime is 20441125055251. The next prime is 20441125055353. The reversal of 20441125055340 is 4355052114402.

20441125055340 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 1 + 12 + 50 + 553 + 40 = 666.

It is a super-3 number, since 3×204411250553403 (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20441125055295 and 20441125055304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1136429827 + ... + 1136447813.

It is an arithmetic number, because the mean of its divisors is an integer number (240625476000).

Almost surely, 220441125055340 is an apocalyptic number.

20441125055340 is a gapful number since it is divisible by the number (20) 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 20441125055340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34650068544000).

20441125055340 is an abundant number, since it is smaller than the sum of its proper divisors (48859012032660).

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

20441125055340 is a wasteful number, since it uses less digits than its factorization.

20441125055340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32053 (or 32048 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 20441125055340 its reverse (4355052114402), we get a palindrome (24796177169742).

The spelling of 20441125055340 in words is "twenty trillion, four hundred forty-one billion, one hundred twenty-five million, fifty-five thousand, three hundred forty".