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1244442122424 = 2332163435724337
BaseRepresentation
bin10010000110111110100…
…001111101100010111000
311101222010022101211212200
4102012332201331202320
5130342104140404144
62351404441310200
7155623302340044
oct22067641754270
94358108354780
101244442122424
1143a846154496
12181221195360
1390472a5ab77
1444334a57024
152258667bc69
hex121be87d8b8

1244442122424 has 96 divisors (see below), whose sum is σ = 3391958827920. Its totient is φ = 412157611008.

The previous prime is 1244442122423. The next prime is 1244442122437. The reversal of 1244442122424 is 4242212444421.

1244442122424 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 4 + 421 + 224 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244442122423) 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, 51121584 + ... + 51145920.

Almost surely, 21244442122424 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 1244442122424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695979413960).

1244442122424 is an abundant number, since it is smaller than the sum of its proper divisors (2147516705496).

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

1244442122424 is a wasteful number, since it uses less digits than its factorization.

1244442122424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28869 (or 28862 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 1244442122424 its reverse (4242212444421), we get a palindrome (5486654566845).

The spelling of 1244442122424 in words is "one trillion, two hundred forty-four billion, four hundred forty-two million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 4357 5868 8714 11736 13071 17428 24337 26142 34856 39213 48674 52284 73011 78426 97348 104568 146022 156852 194696 219033 292044 313704 438066 584088 710191 876132 1420382 1752264 2130573 2840764 3966931 4261146 5681528 6391719 7933862 8522292 11900793 12783438 15867724 17044584 23801586 25566876 31735448 35702379 47603172 51133752 71404758 95206344 106036309 142809516 212072618 285619032 318108927 424145236 636217854 848290472 954326781 1272435708 1908653562 2544871416 3817307124 7634614248 17283918367 34567836734 51851755101 69135673468 103703510202 138271346936 155555265303 207407020404 311110530606 414814040808 622221061212 1244442122424