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143112441216 = 273653570733
BaseRepresentation
bin1000010101001000101…
…0101000110110000000
3111200101202022021102210
42011102022220312000
54321043241104331
6145424524142120
713224313451643
oct2052212506600
9450352267383
10143112441216
115576a273308
12238a0097940
1310659654aa4
146cd8b43a5a
153ac90c6446
hex21522a8d80

143112441216 has 64 divisors (see below), whose sum is σ = 380725236720. Its totient is φ = 47631009792.

The previous prime is 143112441209. The next prime is 143112441217. The reversal of 143112441216 is 612144211341.

143112441216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1431124412163 (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143112441217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34615 + ... + 536118.

Almost surely, 2143112441216 is an apocalyptic number.

143112441216 is a gapful number since it is divisible by the number (16) 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 143112441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190362618360).

143112441216 is an abundant number, since it is smaller than the sum of its proper divisors (237612795504).

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

143112441216 is an equidigital number, since it uses as much as digits as its factorization.

143112441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571403 (or 571391 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 143112441216 its reverse (612144211341), we get a palindrome (755256652557).

The spelling of 143112441216 in words is "one hundred forty-three billion, one hundred twelve million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 653 1306 1959 2612 3918 5224 7836 10448 15672 20896 31344 41792 62688 83584 125376 250752 570733 1141466 1712199 2282932 3424398 4565864 6848796 9131728 13697592 18263456 27395184 36526912 54790368 73053824 109580736 219161472 372688649 745377298 1118065947 1490754596 2236131894 2981509192 4472263788 5963018384 8944527576 11926036768 17889055152 23852073536 35778110304 47704147072 71556220608 143112441216