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1030073478444 = 223531591314423
BaseRepresentation
bin11101111110101010010…
…10011110110100101100
310122110210120222102100000
432333111022132310230
5113334042302302234
62105113105304300
7134264116046523
oct16772512366454
93573716872300
101030073478444
1136794069640a
12147775635090
137619b9497ba
1437bda53b4ba
151bbdba56899
hexefd529ed2c

1030073478444 has 288 divisors, whose sum is σ = 2856864890880. Its totient is φ = 324083073600.

The previous prime is 1030073478403. The next prime is 1030073478461. The reversal of 1030073478444 is 4448743700301.

1030073478444 is a `hidden beast` number, since 103 + 0 + 0 + 7 + 34 + 78 + 444 = 666.

It is a super-2 number, since 2×10300734784442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1030073478444.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232888017 + ... + 232892439.

It is an arithmetic number, because the mean of its divisors is an integer number (9919669760).

Almost surely, 21030073478444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030073478444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428432445440).

1030073478444 is an abundant number, since it is smaller than the sum of its proper divisors (1826791412436).

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

1030073478444 is a wasteful number, since it uses less digits than its factorization.

1030073478444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 1030073478444 in words is "one trillion, thirty billion, seventy-three million, four hundred seventy-eight thousand, four hundred forty-four".