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2024242343440 = 24548751956939
BaseRepresentation
bin11101011101001110001…
…111101110111000010000
321011111220221002111100221
4131131032033232320100
5231131122014442230
64145531334322424
7266150420011132
oct35351617567020
97144827074327
102024242343440
11710527038269
1228838a7b9414
13118b67b220a5
146dd8c371052
15379c63de27a
hex1d74e3eee10

2024242343440 has 40 divisors (see below), whose sum is σ = 4716027529920. Its totient is φ = 808034299776.

The previous prime is 2024242343419. The next prime is 2024242343467. The reversal of 2024242343440 is 443432424202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20242423434402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2024242343396 and 2024242343405.

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 7 ways as a sum of consecutive naturals, for example, 25939510 + ... + 26017429.

It is an arithmetic number, because the mean of its divisors is an integer number (117900688248).

Almost surely, 22024242343440 is an apocalyptic number.

2024242343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024242343440 is an abundant number, since it is smaller than the sum of its proper divisors (2691785186480).

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

2024242343440 is a wasteful number, since it uses less digits than its factorization.

2024242343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51957439 (or 51957433 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 2024242343440 its reverse (443432424202), we get a palindrome (2467674767642).

The spelling of 2024242343440 in words is "two trillion, twenty-four billion, two hundred forty-two million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 487 974 1948 2435 3896 4870 7792 9740 19480 38960 51956939 103913878 207827756 259784695 415655512 519569390 831311024 1039138780 2078277560 4156555120 25303029293 50606058586 101212117172 126515146465 202424234344 253030292930 404848468688 506060585860 1012121171720 2024242343440