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423131042400 = 2535211294312853
BaseRepresentation
bin1100010100001001001…
…00110101001001100000
31111110011201201001221220
412022010210311021200
523413033021324100
6522214514415040
742366403342263
oct6120444651140
91443151631856
10423131042400
111534a3495970
126a009891480
1330b938bc591
14166a0242cda
15b017490aa0
hex6284935260

423131042400 has 576 divisors, whose sum is σ = 1590580696320. Its totient is φ = 96729292800.

The previous prime is 423131042239. The next prime is 423131042401. The reversal of 423131042400 is 4240131324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423131042401) 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, 32914374 + ... + 32927226.

It is an arithmetic number, because the mean of its divisors is an integer number (2761424820).

Almost surely, 2423131042400 is an apocalyptic number.

423131042400 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 423131042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795290348160).

423131042400 is an abundant number, since it is smaller than the sum of its proper divisors (1167449653920).

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

423131042400 is a wasteful number, since it uses less digits than its factorization.

423131042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12959 (or 12946 counting only the distinct ones).

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

Adding to 423131042400 its reverse (4240131324), we get a palindrome (427371173724).

The spelling of 423131042400 in words is "four hundred twenty-three billion, one hundred thirty-one million, forty-two thousand, four hundred".