Search a number
-
+
442233143000 = 23531159681407
BaseRepresentation
bin1100110111101110010…
…01100011111011011000
31120021110222200022210022
412123313021203323120
524221143141034000
6535054211010012
743643643456545
oct6336711437330
91507428608708
10442233143000
11160606097870
127185ab99908
133291925799c
1417593197bcc
15b784497585
hex66f7263ed8

442233143000 has 128 divisors (see below), whose sum is σ = 1148036198400. Its totient is φ = 158086192000.

The previous prime is 442233142997. The next prime is 442233143063. The reversal of 442233143000 is 341332244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308297 + ... + 989703.

It is an arithmetic number, because the mean of its divisors is an integer number (8969032800).

Almost surely, 2442233143000 is an apocalyptic number.

442233143000 is a gapful number since it is divisible by the number (40) 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 442233143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574018099200).

442233143000 is an abundant number, since it is smaller than the sum of its proper divisors (705803055400).

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

442233143000 is a wasteful number, since it uses less digits than its factorization.

442233143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681498 (or 681484 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 442233143000 its reverse (341332244), we get a palindrome (442574475244).

The spelling of 442233143000 in words is "four hundred forty-two billion, two hundred thirty-three million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 59 88 100 110 118 125 200 220 236 250 275 295 440 472 500 550 590 649 1000 1100 1180 1298 1375 1475 2200 2360 2596 2750 2950 3245 5192 5500 5900 6490 7375 11000 11800 12980 14750 16225 25960 29500 32450 59000 64900 81125 129800 162250 324500 649000 681407 1362814 2725628 3407035 5451256 6814070 7495477 13628140 14990954 17035175 27256280 29981908 34070350 37477385 40203013 59963816 68140700 74954770 80406026 85175875 136281400 149909540 160812052 170351750 187386925 201015065 299819080 321624104 340703500 374773850 402030130 442233143 681407000 749547700 804060260 884466286 936934625 1005075325 1499095400 1608120520 1768932572 1873869250 2010150650 2211165715 3537865144 3747738500 4020301300 4422331430 5025376625 7495477000 8040602600 8844662860 10050753250 11055828575 17689325720 20101506500 22111657150 40203013000 44223314300 55279142875 88446628600 110558285750 221116571500 442233143000