Search a number
-
+
442211403040 = 255112111190789
BaseRepresentation
bin1100110111101011101…
…10101000010100100000
31120021102110202211011121
412123311312220110200
524221122104344130
6535052113022024
743643260623001
oct6336566502440
91507373684147
10442211403040
111605a4899260
1271853854914
13329148b55c4
14175903391a8
15b782600d7a
hex66f5da8520

442211403040 has 96 divisors (see below), whose sum is σ = 1145101769280. Its totient is φ = 160041907200.

The previous prime is 442211402999. The next prime is 442211403047. The reversal of 442211403040 is 40304112244.

It is a junction number, because it is equal to n+sod(n) for n = 442211402996 and 442211403014.

It is not an unprimeable number, because it can be changed into a prime (442211403047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 224035 + ... + 966754.

It is an arithmetic number, because the mean of its divisors is an integer number (11928143430).

Almost surely, 2442211403040 is an apocalyptic number.

442211403040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442211403040 is an abundant number, since it is smaller than the sum of its proper divisors (702890366240).

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

442211403040 is a wasteful number, since it uses less digits than its factorization.

442211403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191026 (or 1191018 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 442211403040 its reverse (40304112244), we get a palindrome (482515515284).

The spelling of 442211403040 in words is "four hundred forty-two billion, two hundred eleven million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 211 220 352 422 440 844 880 1055 1688 1760 2110 2321 3376 4220 4642 6752 8440 9284 11605 16880 18568 23210 33760 37136 46420 74272 92840 185680 371360 1190789 2381578 4763156 5953945 9526312 11907890 13098679 19052624 23815780 26197358 38105248 47631560 52394716 65493395 95263120 104789432 130986790 190526240 209578864 251256479 261973580 419157728 502512958 523947160 1005025916 1047894320 1256282395 2010051832 2095788640 2512564790 2763821269 4020103664 5025129580 5527642538 8040207328 10050259160 11055285076 13819106345 20100518320 22110570152 27638212690 40201036640 44221140304 55276425380 88442280608 110552850760 221105701520 442211403040