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231041214144 = 26321323836197
BaseRepresentation
bin1101011100101100100…
…0010010011011000000
3211002100122210202011100
43113023020102123000
512241133022323034
6254045555014400
722456262626416
oct3271310223300
9732318722140
10231041214144
1189a90818894
123893b29a400
1318a30321800
14b27a9252b6
1560236c1099
hex35cb2126c0

231041214144 has 252 divisors, whose sum is σ = 719086208256. Its totient is φ = 70892550144.

The previous prime is 231041214133. The next prime is 231041214167. The reversal of 231041214144 is 441412140132.

231041214144 is a `hidden beast` number, since 23 + 104 + 121 + 414 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37279654 + ... + 37285850.

Almost surely, 2231041214144 is an apocalyptic number.

231041214144 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 231041214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359543104128).

231041214144 is an abundant number, since it is smaller than the sum of its proper divisors (488044994112).

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

231041214144 is a wasteful number, since it uses less digits than its factorization.

231041214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 231041214144 its reverse (441412140132), we get a palindrome (672453354276).

The spelling of 231041214144 in words is "two hundred thirty-one billion, forty-one million, two hundred fourteen thousand, one hundred forty-four".