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231321411144 = 233317473533797
BaseRepresentation
bin1101011101101111010…
…1001001111001001000
3211010002012001020012000
43113123311021321020
512242221240124034
6254133444351000
722466234360325
oct3273365117110
9733065036160
10231321411144
118a1149a6a5a
12389b90a5460
1318a763a7a55
14b2a5c21b4c
15603d0bc599
hex35dbd49e48

231321411144 has 256 divisors, whose sum is σ = 696984652800. Its totient is φ = 70807486464.

The previous prime is 231321411121. The next prime is 231321411173. The reversal of 231321411144 is 441114123132.

It is a happy number.

231321411144 is a `hidden beast` number, since 231 + 3 + 2 + 1 + 411 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60920254 + ... + 60924050.

It is an arithmetic number, because the mean of its divisors is an integer number (2722596300).

Almost surely, 2231321411144 is an apocalyptic number.

231321411144 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 231321411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348492326400).

231321411144 is an abundant number, since it is smaller than the sum of its proper divisors (465663241656).

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

231321411144 is a wasteful number, since it uses less digits than its factorization.

231321411144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4219 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 231321411144 its reverse (441114123132), we get a palindrome (672435534276).

The spelling of 231321411144 in words is "two hundred thirty-one billion, three hundred twenty-one million, four hundred eleven thousand, one hundred forty-four".