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1310485420440 = 23325731472411481
BaseRepresentation
bin10011000100011111000…
…001001001100110011000
311122021120222112000000100
4103010133001021212120
5132432333231423230
62442010110335400
7163452023165310
oct23043701114630
94567528460010
101310485420440
11465856945819
12191b92aba560
1396769533831
14475dbd8a440
152414e71b660
hex1311f049998

1310485420440 has 768 divisors, whose sum is σ = 5156210442240. Its totient is φ = 282341376000.

The previous prime is 1310485420421. The next prime is 1310485420459. The reversal of 1310485420440 is 440245840131.

1310485420440 is a `hidden beast` number, since 1 + 3 + 104 + 8 + 542 + 0 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1310485420421) and next prime (1310485420459).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1310485420395 and 1310485420404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 884864500 + ... + 884865980.

It is an arithmetic number, because the mean of its divisors is an integer number (6713815680).

Almost surely, 21310485420440 is an apocalyptic number.

1310485420440 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 1310485420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578105221120).

1310485420440 is an abundant number, since it is smaller than the sum of its proper divisors (3845725021800).

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

1310485420440 is a wasteful number, since it uses less digits than its factorization.

1310485420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 1310485420440 in words is "one trillion, three hundred ten billion, four hundred eighty-five million, four hundred twenty thousand, four hundred forty".