Search a number
-
+
1428443365440 = 26357131719233171
BaseRepresentation
bin10100110010010101110…
…111000000000001000000
312001120001200012110200010
4110302111313000001000
5141400423000143230
63012115014424520
7205126105161510
oct24622567000100
95046050173603
101428443365440
11500888049783
121b0a12962140
13a491763a820
144d1cc00b840
15272552a39b0
hex14c95dc0040

1428443365440 has 3584 divisors, whose sum is σ = 6795621826560. Its totient is φ = 245248819200.

The previous prime is 1428443365439. The next prime is 1428443365451. The reversal of 1428443365440 is 445633448241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1428443365440.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 20118920605 + ... + 20118920675.

It is an arithmetic number, because the mean of its divisors is an integer number (1896099840).

Almost surely, 21428443365440 is an apocalyptic number.

1428443365440 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 1428443365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397810913280).

1428443365440 is an abundant number, since it is smaller than the sum of its proper divisors (5367178461120).

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

1428443365440 is a wasteful number, since it uses less digits than its factorization.

1428443365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 1428443365440 in words is "one trillion, four hundred twenty-eight billion, four hundred forty-three million, three hundred sixty-five thousand, four hundred forty".