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1023302414340 = 223452393078609
BaseRepresentation
bin11101110010000011001…
…00111011000000000100
310121211022201000201120000
432321001210323000010
5113231210404224330
62102033150041300
7133634250002043
oct16710144730004
93554281021500
101023302414340
11364a86598768
121463a5aa9230
137565cbbc6ab
143775717655a
151b9423b0560
hexee4193b004

1023302414340 has 240 divisors, whose sum is σ = 3234444998400. Its totient is φ = 270822279168.

The previous prime is 1023302414327. The next prime is 1023302414341. The reversal of 1023302414340 is 434142033201.

1023302414340 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 302 + 4 + 14 + 340 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1023302414341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118859956 + ... + 118868564.

It is an arithmetic number, because the mean of its divisors is an integer number (13476854160).

Almost surely, 21023302414340 is an apocalyptic number.

1023302414340 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 1023302414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617222499200).

1023302414340 is an abundant number, since it is smaller than the sum of its proper divisors (2211142584060).

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

1023302414340 is a wasteful number, since it uses less digits than its factorization.

1023302414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1023302414340 its reverse (434142033201), we get a palindrome (1457444447541).

The spelling of 1023302414340 in words is "one trillion, twenty-three billion, three hundred two million, four hundred fourteen thousand, three hundred forty".