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1231321440 = 253529531669
BaseRepresentation
bin100100101100100…
…0111100101100000
310011210221121110210
41021121013211200
510010204241230
6322103254120
742341026266
oct11131074540
93153847423
101231321440
1158205a028
122a444a340
1316813ca8b
14b9764436
1573175eb0
hex49647960

1231321440 has 192 divisors, whose sum is σ = 4090564800. Its totient is φ = 310861824.

The previous prime is 1231321381. The next prime is 1231321451. The reversal of 1231321440 is 441231321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736926 + ... + 738594.

It is an arithmetic number, because the mean of its divisors is an integer number (21305025).

Almost surely, 21231321440 is an apocalyptic number.

1231321440 is a gapful number since it is divisible by the number (10) 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 1231321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045282400).

1231321440 is an abundant number, since it is smaller than the sum of its proper divisors (2859243360).

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

1231321440 is a wasteful number, since it uses less digits than its factorization.

1231321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1231321440 is about 35090.1900821298. The cubic root of 1231321440 is about 1071.8248302924.

Adding to 1231321440 its reverse (441231321), we get a palindrome (1672552761).

The spelling of 1231321440 in words is "one billion, two hundred thirty-one million, three hundred twenty-one thousand, four hundred forty".