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1443643438216 = 2372171109195341
BaseRepresentation
bin10101000000011111110…
…110101011010010001000
312010000021222211011121111
4111000133312223102020
5142123040210010331
63023111201020104
7206204554520500
oct25003766532210
95100258734544
101443643438216
115072780a33a1
121b3955324634
13a619a768025
144dc30a32a00
1527844938db1
hex1501fdab488

1443643438216 has 96 divisors (see below), whose sum is σ = 3337007851800. Its totient is φ = 581781903360.

The previous prime is 1443643438213. The next prime is 1443643438219. The reversal of 1443643438216 is 6128343463441.

It is an interprime number because it is at equal distance from previous prime (1443643438213) and next prime (1443643438219).

It can be written as a sum of positive squares in 4 ways, for example, as 624817526116 + 818825912100 = 790454^2 + 904890^2 .

It is a super-2 number, since 2×14436434382162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 1443643438216.

It is not an unprimeable number, because it can be changed into a prime (1443643438213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7292706 + ... + 7488046.

Almost surely, 21443643438216 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 1443643438216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668503925900).

1443643438216 is an abundant number, since it is smaller than the sum of its proper divisors (1893364413584).

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

1443643438216 is a wasteful number, since it uses less digits than its factorization.

1443643438216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196487 (or 196476 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 49.

The spelling of 1443643438216 in words is "one trillion, four hundred forty-three billion, six hundred forty-three million, four hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1109 1666 2218 3332 4436 6664 7763 8872 15526 18853 31052 37706 54341 62104 75412 108682 131971 150824 195341 217364 263942 390682 434728 527884 781364 923797 1055768 1367387 1562728 1847594 2734774 3320797 3695188 5469548 6641594 7390376 9571709 10939096 13283188 19143418 23245579 26566376 38286836 46491158 76573672 92982316 162719053 185964632 216633169 325438106 433266338 650876212 866532676 1301752424 1516432183 1733065352 3032864366 3682763873 6065728732 7365527746 10615025281 12131457464 14731055492 21230050562 25779347111 29462110984 42460101124 51558694222 84920202248 103117388444 180455429777 206234776888 360910859554 721821719108 1443643438216