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231221140440000 = 2635414923129119
BaseRepresentation
bin110100100100101101011101…
…111100001100001111000000
31010022200112011211111112212020
4310210231131330030033000
5220301311343423040000
62135433305302201440
766463114260336654
oct6444553574141700
91108615154445766
10231221140440000
1167746375945a07
1221b24258123280
139c030a1a30309
14411523d048a64
151bae8d4992ba0
hexd24b5df0c3c0

231221140440000 has 280 divisors, whose sum is σ = 764528190666240. Its totient is φ = 61654361472000.

The previous prime is 231221140439951. The next prime is 231221140440023. The reversal of 231221140440000 is 44041122132.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1790695441 + ... + 1790824559.

It is an arithmetic number, because the mean of its divisors is an integer number (2730457823808).

Almost surely, 2231221140440000 is an apocalyptic number.

231221140440000 is a gapful number since it is divisible by the number (20) 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 231221140440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382264095333120).

231221140440000 is an abundant number, since it is smaller than the sum of its proper divisors (533307050226240).

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

231221140440000 is a wasteful number, since it uses less digits than its factorization.

231221140440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144077 (or 144052 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 231221140440000 its reverse (44041122132), we get a palindrome (231265181562132).

The spelling of 231221140440000 in words is "two hundred thirty-one trillion, two hundred twenty-one billion, one hundred forty million, four hundred forty thousand".