Search a number
-
+
411203023000 = 235371143124193
BaseRepresentation
bin1011111101111011001…
…11000011000010011000
31110022101110000220102121
411332331213003002120
523214120433214000
6512523135511024
741464665011440
oct5767547030230
91408343026377
10411203023000
111494324283a0
126783b088474
132ca1263ac33
1415c8c001120
15aa6a1dcb1a
hex5fbd9c3098

411203023000 has 256 divisors, whose sum is σ = 1227553367040. Its totient is φ = 125185536000.

The previous prime is 411203022911. The next prime is 411203023001. The reversal of 411203023000 is 320302114.

It is a happy number.

It is a super-2 number, since 2×4112030230002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411203023001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3248904 + ... + 3373096.

It is an arithmetic number, because the mean of its divisors is an integer number (4795130340).

Almost surely, 2411203023000 is an apocalyptic number.

411203023000 is a gapful number since it is divisible by the number (40) 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 411203023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613776683520).

411203023000 is an abundant number, since it is smaller than the sum of its proper divisors (816350344040).

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

411203023000 is a wasteful number, since it uses less digits than its factorization.

411203023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124275 (or 124261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 411203023000 its reverse (320302114), we get a palindrome (411523325114).

The spelling of 411203023000 in words is "four hundred eleven billion, two hundred three million, twenty-three thousand".