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114111033444 = 223317163737967
BaseRepresentation
bin110101001000110001…
…1000011000001100100
3101220112121001010002000
41222101203003001210
53332144411032234
6124231043245300
711146530531462
oct1522143030144
9356477033060
10114111033444
1144437781411
121a147679830
13a9b7126185
14574719b832
152e7cea1899
hex1a918c3064

114111033444 has 96 divisors (see below), whose sum is σ = 313445583360. Its totient is φ = 35776728576.

The previous prime is 114111033437. The next prime is 114111033481. The reversal of 114111033444 is 444330111411.

114111033444 is a `hidden beast` number, since 114 + 1 + 1 + 103 + 3 + 444 = 666.

It is a super-2 number, since 2×1141110334442 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2986549 + ... + 3024515.

It is an arithmetic number, because the mean of its divisors is an integer number (3265058160).

Almost surely, 2114111033444 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 114111033444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156722791680).

114111033444 is an abundant number, since it is smaller than the sum of its proper divisors (199334549916).

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

114111033444 is a wasteful number, since it uses less digits than its factorization.

114111033444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39634 (or 39626 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114111033444 its reverse (444330111411), we get a palindrome (558441144855).

The spelling of 114111033444 in words is "one hundred fourteen billion, one hundred eleven million, thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1637 1836 3274 4911 6548 9822 14733 19644 27829 29466 37967 44199 55658 58932 75934 83487 88398 111316 113901 151868 166974 176796 227802 250461 333948 341703 455604 500922 645439 683406 751383 1001844 1025109 1290878 1366812 1502766 1936317 2050218 2581756 3005532 3872634 4100436 5808951 7745268 11617902 17426853 23235804 34853706 62151979 69707412 124303958 186455937 248607916 372911874 559367811 745823748 1056583643 1118735622 1678103433 2113167286 2237471244 3169750929 3356206866 4226334572 6339501858 6712413732 9509252787 12679003716 19018505574 28527758361 38037011148 57055516722 114111033444