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142433041240 = 2357350320639
BaseRepresentation
bin1000010010100110101…
…0111011101101011000
3111121122101220011212201
42010221222323231120
54313200324304430
6145233254215544
713201423606000
oct2045152735530
9447571804781
10142433041240
1155450814026
12237306545b4
131057b978c79
146c7280d000
153a896228ca
hex2129abbb58

142433041240 has 128 divisors (see below), whose sum is σ = 374492160000. Its totient is φ = 48734738304.

The previous prime is 142433041193. The next prime is 142433041259. The reversal of 142433041240 is 42140334241.

142433041240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 142433041199 and 142433041208.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6890841 + ... + 6911479.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720000).

Almost surely, 2142433041240 is an apocalyptic number.

142433041240 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 142433041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187246080000).

142433041240 is an abundant number, since it is smaller than the sum of its proper divisors (232059118760).

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

142433041240 is a wasteful number, since it uses less digits than its factorization.

142433041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21174 (or 21156 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 142433041240 its reverse (42140334241), we get a palindrome (184573375481).

The spelling of 142433041240 in words is "one hundred forty-two billion, four hundred thirty-three million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 503 686 980 1006 1372 1715 1960 2012 2515 2744 3430 3521 4024 5030 6860 7042 10060 13720 14084 17605 20120 20639 24647 28168 35210 41278 49294 70420 82556 98588 103195 123235 140840 144473 165112 172529 197176 206390 246470 288946 345058 412780 492940 577892 690116 722365 825560 862645 985880 1011311 1155784 1380232 1444730 1725290 2022622 2889460 3450580 4045244 5056555 5778920 6901160 7079177 8090488 10113110 10381417 14158354 20226220 20762834 28316708 35395885 40452440 41525668 51907085 56633416 70791770 72669919 83051336 103814170 141583540 145339838 207628340 283167080 290679676 363349595 415256680 508689433 581359352 726699190 1017378866 1453398380 2034757732 2543447165 2906796760 3560826031 4069515464 5086894330 7121652062 10173788660 14243304124 17804130155 20347577320 28486608248 35608260310 71216520620 142433041240