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143442121440 = 2535298837753
BaseRepresentation
bin1000010110010111010…
…0010001001011100000
3111201020201122202200110
42011211310101023200
54322232140341230
6145521342251320
713235425625532
oct2054564211340
9451221582613
10143442121440
1155919379a02
1223972586b40
13106aca45147
146d2a841852
153ae7ee94b0
hex2165d112e0

143442121440 has 48 divisors (see below), whose sum is σ = 451842684048. Its totient is φ = 38251232256.

The previous prime is 143442121439. The next prime is 143442121469. The reversal of 143442121440 is 44121244341.

It is a happy number.

143442121440 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 143442121398 and 143442121407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149418397 + ... + 149419356.

It is an arithmetic number, because the mean of its divisors is an integer number (9413389251).

Almost surely, 2143442121440 is an apocalyptic number.

143442121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

143442121440 is an abundant number, since it is smaller than the sum of its proper divisors (308400562608).

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

143442121440 is a wasteful number, since it uses less digits than its factorization.

143442121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298837771 (or 298837763 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 143442121440 its reverse (44121244341), we get a palindrome (187563365781).

The spelling of 143442121440 in words is "one hundred forty-three billion, four hundred forty-two million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 298837753 597675506 896513259 1195351012 1494188765 1793026518 2390702024 2988377530 3586053036 4482566295 4781404048 5976755060 7172106072 8965132590 9562808096 11953510120 14344212144 17930265180 23907020240 28688424288 35860530360 47814040480 71721060720 143442121440