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423243011400 = 2335211296073643
BaseRepresentation
bin1100010100010110011…
…11111101010101001000
31111110110112101200112220
412022023033331111020
523413300202331100
6522233554334040
742402233144436
oct6121317752510
91443415350486
10423243011400
11153550711930
126a03b28a320
1330bb0b63c21
14166b106bd56
15b02220baa0
hex628b3fd548

423243011400 has 384 divisors, whose sum is σ = 1483533619200. Its totient is φ = 98875929600.

The previous prime is 423243011381. The next prime is 423243011407. The reversal of 423243011400 is 4110342324.

423243011400 is digitally balanced in base 4, 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 (24).

It is not an unprimeable number, because it can be changed into a prime (423243011407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116177979 + ... + 116181621.

It is an arithmetic number, because the mean of its divisors is an integer number (3863368800).

Almost surely, 2423243011400 is an apocalyptic number.

423243011400 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 423243011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741766809600).

423243011400 is an abundant number, since it is smaller than the sum of its proper divisors (1060290607800).

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

423243011400 is a wasteful number, since it uses less digits than its factorization.

423243011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 423243011400 its reverse (4110342324), we get a palindrome (427353353724).

The spelling of 423243011400 in words is "four hundred twenty-three billion, two hundred forty-three million, eleven thousand, four hundred".