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4021444312101 = 328232006327061
BaseRepresentation
bin111010100001010000110…
…000100111110000100101
3112020110001100221121220200
4322201100300213300211
51011341404220441401
612315232004021113
7563353065440346
oct72412060476045
915213040847820
104021444312101
111310537525757
1254b471691799
132322b37982c8
14dc8d33900cd
156e918920686
hex3a850c27c25

4021444312101 has 24 divisors (see below), whose sum is σ = 5816315721216. Its totient is φ = 2677472915040.

The previous prime is 4021444312097. The next prime is 4021444312111. The reversal of 4021444312101 is 1012134441204.

4021444312101 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 4 + 443 + 1 + 210 + 1 = 666.

It is not a de Polignac number, because 4021444312101 - 22 = 4021444312097 is a prime.

It is a super-3 number, since 3×40214443121013 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021444312111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148593111 + ... + 148620171.

It is an arithmetic number, because the mean of its divisors is an integer number (242346488384).

Almost surely, 24021444312101 is an apocalyptic number.

It is an amenable number.

4021444312101 is a deficient number, since it is larger than the sum of its proper divisors (1794871409115).

4021444312101 is a wasteful number, since it uses less digits than its factorization.

4021444312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47953 (or 47950 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4021444312101 its reverse (1012134441204), we get a palindrome (5033578753305).

The spelling of 4021444312101 in words is "four trillion, twenty-one billion, four hundred forty-four million, three hundred twelve thousand, one hundred one".

Divisors: 1 3 9 823 2469 7407 20063 27061 60189 81183 180567 243549 16511849 22271203 49535547 66813609 148606641 200440827 542924843 1628774529 4886323587 446827145789 1340481437367 4021444312101