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231000432023424 = 2737377513092729
BaseRepresentation
bin110100100001011111111010…
…101100011001011110000000
31010021220102111021200022021010
4310201133322230121132000
5220234202341044222144
62135144044455000520
766441142022631420
oct6441377254313600
91107812437608233
10231000432023424
1167670807787948
1221aa9521369140
139bb832a33b20b
1441086a2956480
151ba8cb84bb5b9
hexd217fab19780

231000432023424 has 256 divisors, whose sum is σ = 721163276236800. Its totient is φ = 64130807808000.

The previous prime is 231000432023401. The next prime is 231000432023453. The reversal of 231000432023424 is 424320234000132.

231000432023424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2310004320234242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231000432023391 and 231000432023400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73145092 + ... + 76237820.

It is an arithmetic number, because the mean of its divisors is an integer number (2817044047800).

Almost surely, 2231000432023424 is an apocalyptic number.

231000432023424 is a gapful number since it is divisible by the number (24) 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 231000432023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360581638118400).

231000432023424 is an abundant number, since it is smaller than the sum of its proper divisors (490162844213376).

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

231000432023424 is a wasteful number, since it uses less digits than its factorization.

231000432023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093541 (or 3093529 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 231000432023424 its reverse (424320234000132), we get a palindrome (655320666023556).

The spelling of 231000432023424 in words is "two hundred thirty-one trillion, four hundred thirty-two million, twenty-three thousand, four hundred twenty-four".