Search a number
-
+
12401043024 = 2434110496007
BaseRepresentation
bin10111000110010100…
…01110011001010000
31012000020202020221210
423203022032121100
5200344131334044
65410313220120
7616211061246
oct134312163120
935006666853
1012401043024
11529407a197
1224a1101640
13122827caa6
14858db4796
154c8a8d1b9
hex2e328e650

12401043024 has 80 divisors (see below), whose sum is σ = 32854147200. Its totient is φ = 4028344320.

The previous prime is 12401042993. The next prime is 12401043079. The reversal of 12401043024 is 42034010421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061429 + ... + 2067435.

It is an arithmetic number, because the mean of its divisors is an integer number (410676840).

Almost surely, 212401043024 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 12401043024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427073600).

12401043024 is an abundant number, since it is smaller than the sum of its proper divisors (20453104176).

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

12401043024 is a wasteful number, since it uses less digits than its factorization.

12401043024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12401043024 its reverse (42034010421), we get a palindrome (54435053445).

The spelling of 12401043024 in words is "twelve billion, four hundred one million, forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1049 1968 2098 3147 4196 6007 6294 8392 12014 12588 16784 18021 24028 25176 36042 43009 48056 50352 72084 86018 96112 129027 144168 172036 246287 258054 288336 344072 492574 516108 688144 738861 985148 1032216 1477722 1970296 2064432 2955444 3940592 5910888 6301343 11821776 12602686 18904029 25205372 37808058 50410744 75616116 100821488 151232232 258355063 302464464 516710126 775065189 1033420252 1550130378 2066840504 3100260756 4133681008 6200521512 12401043024