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444012140022 = 231167118185021
BaseRepresentation
bin1100111011000010010…
…11111001010111110110
31120110001222011201220220
412131201023321113312
524233314101440042
6535550521035210
744036014630023
oct6354113712766
91513058151826
10444012140022
11161339306640
1272076925b06
1332b409a2c49
14176c156454a
15b83a7528ec
hex67612f95f6

444012140022 has 64 divisors (see below), whose sum is σ = 984056871168. Its totient is φ = 132427152000.

The previous prime is 444012139999. The next prime is 444012140093. The reversal of 444012140022 is 220041210444.

It is a super-2 number, since 2×4440121400222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444012139974 and 444012140001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5179872 + ... + 5264892.

It is an arithmetic number, because the mean of its divisors is an integer number (15375888612).

Almost surely, 2444012140022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444012140022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492028435584).

444012140022 is an abundant number, since it is smaller than the sum of its proper divisors (540044731146).

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

444012140022 is a wasteful number, since it uses less digits than its factorization.

444012140022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86285.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444012140022 its reverse (220041210444), we get a palindrome (664053350466).

The spelling of 444012140022 in words is "four hundred forty-four billion, twelve million, one hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1181 1474 2211 2362 3543 4422 7086 12991 25982 38973 77946 79127 85021 158254 170042 237381 255063 474762 510126 870397 935231 1740794 1870462 2611191 2805693 5222382 5611386 5696407 11392814 17089221 34178442 62660477 100409801 125320954 187981431 200819602 301229403 375962862 602458806 1104507811 2209015622 3313523433 6627046866 6727456667 13454913334 20182370001 40364740002 74002023337 148004046674 222006070011 444012140022