Search a number
-
+
24412404240140 = 2257199177595579
BaseRepresentation
bin1011000110011111101001…
…01011101100111100001100
310012102210200102111021011012
411203033310223230330030
511144433100441141030
6123530523110144352
75066511064154330
oct543176453547414
9105383612437135
1024412404240140
117862273844234
1228a33549520b8
131081106549867
146057d0d277c0
152c505170a095
hex1633f4aecf0c

24412404240140 has 48 divisors (see below), whose sum is σ = 61673442297600. Its totient is φ = 7929442579392.

The previous prime is 24412404240061. The next prime is 24412404240167. The reversal of 24412404240140 is 4104240421442.

It is a super-4 number, since 4×244124042401404 (a number of 55 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24412404240097 and 24412404240106.

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, 4588795130 + ... + 4588800449.

It is an arithmetic number, because the mean of its divisors is an integer number (1284863381200).

Almost surely, 224412404240140 is an apocalyptic number.

24412404240140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24412404240140 is an abundant number, since it is smaller than the sum of its proper divisors (37261038057460).

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

24412404240140 is a wasteful number, since it uses less digits than its factorization.

24412404240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177595614 (or 9177595612 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 24412404240140 its reverse (4104240421442), we get a palindrome (28516644661582).

The spelling of 24412404240140 in words is "twenty-four trillion, four hundred twelve billion, four hundred four million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 9177595579 18355191158 36710382316 45887977895 64243169053 91775955790 128486338106 174374316001 183551911580 256972676212 321215845265 348748632002 642431690530 697497264004 871871580005 1220620212007 1284863381060 1743743160010 2441240424014 3487486320020 4882480848028 6103101060035 12206202120070 24412404240140