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1030449397248 = 29324118472953
BaseRepresentation
bin11101111111010111001…
…00011111111000000000
310122111202210100001222200
432333223210133320000
5113340330021202443
62105214254433200
7134306332233645
oct16775344377000
93574683301880
101030449397248
11368013903807
1214785b502800
137622b7a916b
1437c34433dcc
151bc0ea5edd3
hexefeb91fe00

1030449397248 has 240 divisors, whose sum is σ = 3049163653536. Its totient is φ = 334810644480.

The previous prime is 1030449397231. The next prime is 1030449397279. The reversal of 1030449397248 is 8427939440301.

1030449397248 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 4 + 9 + 397 + 248 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1030449397194 and 1030449397203.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 348948540 + ... + 348951492.

Almost surely, 21030449397248 is an apocalyptic number.

1030449397248 is a gapful number since it is divisible by the number (18) 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 1030449397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524581826768).

1030449397248 is an abundant number, since it is smaller than the sum of its proper divisors (2018714256288).

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

1030449397248 is a wasteful number, since it uses less digits than its factorization.

1030449397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1030449397248 in words is "one trillion, thirty billion, four hundred forty-nine million, three hundred ninety-seven thousand, two hundred forty-eight".