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423231132324 = 22371113376167233
BaseRepresentation
bin1100010100010101000…
…10101001001010100100
31111110102201001011112010
412022022202221022210
523413234132213244
6522232451554220
742402030160530
oct6121242511244
91443381034463
10423231132324
11153544a38a10
126a0372bb970
1330bab564ca0
14166ad658bc0
15b021161eb9
hex628a8a92a4

423231132324 has 768 divisors, whose sum is σ = 1410773704704. Its totient is φ = 95252889600.

The previous prime is 423231132319. The next prime is 423231132349.

It is a happy number.

423231132324 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4232311323243 (a number of 36 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 423231132291 and 423231132300.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1816442512 + ... + 1816442744.

It is an arithmetic number, because the mean of its divisors is an integer number (1836944928).

Almost surely, 2423231132324 is an apocalyptic number.

423231132324 is a gapful number since it is divisible by the number (44) 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 423231132324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705386852352).

423231132324 is an abundant number, since it is smaller than the sum of its proper divisors (987542572380).

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

423231132324 is a wasteful number, since it uses less digits than its factorization.

423231132324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 423231 and 132324, that added together give a palindrome (555555).

The spelling of 423231132324 in words is "four hundred twenty-three billion, two hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty-four".