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1030302414240 = 2535111131726841
BaseRepresentation
bin11101111111000101100…
…11110011010110100000
310122111101112202120012120
432333202303303112200
5113340024404223430
62105151524224240
7134302566011031
oct16774263632640
93574345676176
101030302414240
11367a48942250
1214781a23b080
13762071c5578
1437c1cad2a88
151bc01bc9610
hexefe2cf35a0

1030302414240 has 192 divisors, whose sum is σ = 3571827622272. Its totient is φ = 247559782400.

The previous prime is 1030302414221. The next prime is 1030302414259. The reversal of 1030302414240 is 424142030301.

It is an interprime number because it is at equal distance from previous prime (1030302414221) and next prime (1030302414259).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1030302414240.

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 31 ways as a sum of consecutive naturals, for example, 266781 + ... + 1460060.

It is an arithmetic number, because the mean of its divisors is an integer number (18603268866).

Almost surely, 21030302414240 is an apocalyptic number.

1030302414240 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 1030302414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785913811136).

1030302414240 is an abundant number, since it is smaller than the sum of its proper divisors (2541525208032).

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

1030302414240 is a wasteful number, since it uses less digits than its factorization.

1030302414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726983 (or 1726975 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1030302414240 its reverse (424142030301), we get a palindrome (1454444444541).

The spelling of 1030302414240 in words is "one trillion, thirty billion, three hundred two million, four hundred fourteen thousand, two hundred forty".