Search a number
-
+
442420232100 = 2235271119152391
BaseRepresentation
bin1100111000000100100…
…11001111111110100100
31120021222000201102210020
412130002103033332210
524222034034411400
6535124532555140
743651404632040
oct6340223177644
91507860642706
10442420232100
111606a1761660
12718b1782ab0
1332948c414b2
14175add79020
15b795b012a0
hex67024cffa4

442420232100 has 144 divisors (see below), whose sum is σ = 1595930520576. Its totient is φ = 91931472000.

The previous prime is 442420232083. The next prime is 442420232123. The reversal of 442420232100 is 1232024244.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9553096 + ... + 9599295.

Almost surely, 2442420232100 is an apocalyptic number.

It is an amenable number.

442420232100 is an abundant number, since it is smaller than the sum of its proper divisors (1153510288476).

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

442420232100 is a wasteful number, since it uses less digits than its factorization.

442420232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19152426 (or 19152419 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 442420232100 its reverse (1232024244), we get a palindrome (443652256344).

The spelling of 442420232100 in words is "four hundred forty-two billion, four hundred twenty million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 19152391 38304782 57457173 76609564 95761955 114914346 134066737 191523910 210676301 229828692 268133474 287285865 383047820 402200211 421352602 478809775 536266948 574571730 632028903 670333685 804400422 842705204 957619550 1053381505 1149143460 1264057806 1340667370 1436429325 1474734107 1608800844 1915239100 2011001055 2106763010 2528115612 2681334740 2872858650 2949468214 3160144515 3351668425 4022002110 4213526020 4424202321 5266907525 5745717300 5898936428 6320289030 6703336850 7373670535 8044004220 8848404642 10055005275 10533815050 12640578060 13406673700 14747341070 15800722575 17696809284 20110010550 21067630100 22121011605 29494682140 31601445150 36868352675 40220021100 44242023210 63202890300 73736705350 88484046420 110605058025 147473410700 221210116050 442420232100