Search a number
-
+
2443236041400 = 2335271131923003
BaseRepresentation
bin100011100011011100001…
…101110110001010111000
322122120102022122200201120
4203203130031312022320
5310012221411311100
65110223535345240
7341342444456640
oct43433415661270
98576368580646
102443236041400
11862197061000
12335622982220
1314951c50255b
1486378d0b520
154384a52a0a0
hex238dc3762b8

2443236041400 has 768 divisors, whose sum is σ = 10022529945600. Its totient is φ = 480944217600.

The previous prime is 2443236041347. The next prime is 2443236041447. The reversal of 2443236041400 is 41406323442.

2443236041400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106202299 + ... + 106225301.

It is an arithmetic number, because the mean of its divisors is an integer number (13050169200).

Almost surely, 22443236041400 is an apocalyptic number.

2443236041400 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 2443236041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011264972800).

2443236041400 is an abundant number, since it is smaller than the sum of its proper divisors (7579293904200).

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

2443236041400 is a wasteful number, since it uses less digits than its factorization.

2443236041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23081 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 2443236041400 in words is "two trillion, four hundred forty-three billion, two hundred thirty-six million, forty-one thousand, four hundred".