Search a number
-
+
2412331413024 = 253139941194443
BaseRepresentation
bin100011000110101010001…
…010000010111000100000
322112121122112010220111210
4203012222022002320200
5304010423320204044
65044113150110120
7336166551454401
oct43065212027040
98477575126453
102412331413024
11850078214315
1232b638aab340
131466358b31c0
1484a8669d9a8
1542b3c2ad1b9
hex231aa282e20

2412331413024 has 96 divisors (see below), whose sum is σ = 6820196410944. Its totient is φ = 742177336320.

The previous prime is 2412331413007. The next prime is 2412331413029. The reversal of 2412331413024 is 4203141332142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2412331412982 and 2412331413000.

It is not an unprimeable number, because it can be changed into a prime (2412331413029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12309147 + ... + 12503589.

It is an arithmetic number, because the mean of its divisors is an integer number (71043712614).

Almost surely, 22412331413024 is an apocalyptic number.

2412331413024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2412331413024 is an abundant number, since it is smaller than the sum of its proper divisors (4407864997920).

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

2412331413024 is a wasteful number, since it uses less digits than its factorization.

2412331413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204410 (or 204402 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2412331413024 its reverse (4203141332142), we get a palindrome (6615472745166).

The spelling of 2412331413024 in words is "two trillion, four hundred twelve billion, three hundred thirty-one million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9941 19882 29823 39764 59646 79528 119292 129233 159056 194443 238584 258466 318112 387699 388886 477168 516932 583329 775398 777772 954336 1033864 1166658 1550796 1555544 2067728 2333316 2527759 3101592 3111088 4135456 4666632 5055518 6203184 6222176 7583277 9333264 10111036 12406368 15166554 18666528 20222072 30333108 40444144 60666216 80888288 121332432 242664864 1932957863 3865915726 5798873589 7731831452 11597747178 15463662904 23195494356 25128452219 30927325808 46390988712 50256904438 61854651616 75385356657 92781977424 100513808876 150770713314 185563954848 201027617752 301541426628 402055235504 603082853256 804110471008 1206165706512 2412331413024