Search a number
-
+
24003112340020 = 225116715780912821
BaseRepresentation
bin1010111010100101010001…
…11111000000101000110100
310010222200020011120110110111
411131102220333000220310
511121231333224340040
6123014513320232404
75025111333336442
oct535225077005064
9103880204513414
1024003112340020
117714732179840
122837b6990b704
131051639b38188
145cda84a87b92
152b95991c5dea
hex15d4a8fc0a34

24003112340020 has 192 divisors, whose sum is σ = 56238966040320. Its totient is φ = 8532138700800.

The previous prime is 24003112340003. The next prime is 24003112340047. The reversal of 24003112340020 is 2004321130042.

It is a super-2 number, since 2×240031123400202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 24003112339973 and 24003112340000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1872165210 + ... + 1872178030.

It is an arithmetic number, because the mean of its divisors is an integer number (292911281460).

Almost surely, 224003112340020 is an apocalyptic number.

24003112340020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24003112340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28119483020160).

24003112340020 is an abundant number, since it is smaller than the sum of its proper divisors (32235853700300).

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

24003112340020 is a wasteful number, since it uses less digits than its factorization.

24003112340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874 (or 13872 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 24003112340020 its reverse (2004321130042), we get a palindrome (26007433470062).

The spelling of 24003112340020 in words is "twenty-four trillion, three billion, one hundred twelve million, three hundred forty thousand, twenty".