Search a number
-
+
143212042000 = 2453536532069
BaseRepresentation
bin1000010101100000011…
…0100101011100010000
3111200122200201112000201
42011120012211130100
54321244240321000
6145442443024544
713226633162146
oct2053006453420
9450580645021
10143212042000
1155810511905
122390950b154
1310674188971
146d0806d596
153ad2bec96a
hex21581a5710

143212042000 has 160 divisors (see below), whose sum is σ = 353531524320. Its totient is φ = 56090777600.

The previous prime is 143212041949. The next prime is 143212042003. The reversal of 143212042000 is 240212341.

It can be written as a sum of positive squares in 16 ways, for example, as 125746833664 + 17465208336 = 354608^2 + 132156^2 .

It is not an unprimeable number, because it can be changed into a prime (143212042003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69216966 + ... + 69219034.

It is an arithmetic number, because the mean of its divisors is an integer number (2209572027).

Almost surely, 2143212042000 is an apocalyptic number.

143212042000 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 143212042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176765762160).

143212042000 is an abundant number, since it is smaller than the sum of its proper divisors (210319482320).

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

143212042000 is a wasteful number, since it uses less digits than its factorization.

143212042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 143212042000 its reverse (240212341), we get a palindrome (143452254341).

The spelling of 143212042000 in words is "one hundred forty-three billion, two hundred twelve million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 653 848 1000 1060 1306 1325 2000 2069 2120 2612 2650 3265 4138 4240 5224 5300 6530 6625 8276 10345 10448 10600 13060 13250 16325 16552 20690 21200 26120 26500 32650 33104 34609 41380 51725 52240 53000 65300 69218 81625 82760 103450 106000 109657 130600 138436 163250 165520 173045 206900 219314 258625 261200 276872 326500 346090 413800 438628 517250 548285 553744 653000 692180 827600 865225 877256 1034500 1096570 1306000 1351057 1384360 1730450 1754512 2069000 2193140 2702114 2741425 2768720 3460900 4138000 4326125 4386280 5404228 5482850 6755285 6921800 8652250 8772560 10808456 10965700 13510570 13707125 13843600 17304500 21616912 21931400 27021140 27414250 33776425 34609000 43862800 54042280 54828500 67552850 69218000 71606021 108084560 109657000 135105700 143212042 168882125 219314000 270211400 286424084 337764250 358030105 540422800 572848168 675528500 716060210 1145696336 1351057000 1432120420 1790150525 2702114000 2864240840 3580301050 5728481680 7160602100 8950752625 14321204200 17901505250 28642408400 35803010500 71606021000 143212042000