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143431120 = 2457416247
BaseRepresentation
bin10001000110010…
…01010111010000
3100222220001111201
420203021113100
5243204243440
622122120544
73361100350
oct1043112720
9328801451
10143431120
1173a65a18
1240050154
132393bcb1
1415098b60
15c8d319a
hex88c95d0

143431120 has 80 divisors (see below), whose sum is σ = 390475008. Its totient is φ = 47969280.

The previous prime is 143431117. The next prime is 143431139. The reversal of 143431120 is 21134341.

143431120 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19837 + ... + 26083.

Almost surely, 2143431120 is an apocalyptic number.

143431120 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 143431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195237504).

143431120 is an abundant number, since it is smaller than the sum of its proper divisors (247043888).

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

143431120 is a wasteful number, since it uses less digits than its factorization.

143431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 143431120 is about 11976.2732099765. The cubic root of 143431120 is about 523.4571422851.

Adding to 143431120 its reverse (21134341), we get a palindrome (164565461).

The spelling of 143431120 in words is "one hundred forty-three million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 6247 11480 12494 22960 24988 31235 43729 49976 62470 87458 99952 124940 174916 218645 249880 256127 349832 437290 499760 512254 699664 874580 1024508 1280635 1749160 1792889 2049016 2561270 3498320 3585778 4098032 5122540 7171556 8964445 10245080 14343112 17928890 20490160 28686224 35857780 71715560 143431120