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1300341443040 = 2532517223731861
BaseRepresentation
bin10010111011000010011…
…000111100100111100000
311121022102000211120000200
4102323002120330213200
5132301044402134130
62433211341545200
7162642446616213
oct22730230744740
94538360746020
101300341443040
11461520932422
12190021875200
1395810a75843
1446d18a6977a
1523c58dbd760
hex12ec263c9e0

1300341443040 has 864 divisors, whose sum is σ = 4988800829376. Its totient is φ = 307728875520.

The previous prime is 1300341443029. The next prime is 1300341443047. The reversal of 1300341443040 is 403441430031.

1300341443040 is a `hidden beast` number, since 13 + 0 + 0 + 341 + 4 + 4 + 304 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1300341442995 and 1300341443013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300341443047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 698731710 + ... + 698733570.

It is an arithmetic number, because the mean of its divisors is an integer number (5774075034).

Almost surely, 21300341443040 is an apocalyptic number.

1300341443040 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 1300341443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494400414688).

1300341443040 is an abundant number, since it is smaller than the sum of its proper divisors (3688459386336).

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

1300341443040 is a wasteful number, since it uses less digits than its factorization.

1300341443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1984 counting only the distinct ones).

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

Adding to 1300341443040 its reverse (403441430031), we get a palindrome (1703782873071).

The spelling of 1300341443040 in words is "one trillion, three hundred billion, three hundred forty-one million, four hundred forty-three thousand, forty".