Search a number
-
+
428614120000 = 265411974123
BaseRepresentation
bin1100011110010110110…
…01000111001001000000
31111222022212002021102001
412033023121013021000
524010300203320000
6524522544033344
742652312623253
oct6171331071100
91458285067361
10428614120000
11155857551260
126b09a002854
13315588598b1
1416a6053309a
15b238a1b46a
hex63cb647240

428614120000 has 140 divisors (see below), whose sum is σ = 1159445246256. Its totient is φ = 155859520000.

The previous prime is 428614119991. The next prime is 428614120013. The reversal of 428614120000 is 21416824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47062 + ... + 927061.

Almost surely, 2428614120000 is an apocalyptic number.

428614120000 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 428614120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579722623128).

428614120000 is an abundant number, since it is smaller than the sum of its proper divisors (730831126256).

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

428614120000 is an equidigital number, since it uses as much as digits as its factorization.

428614120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974166 (or 974141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 428614120000 its reverse (21416824), we get a palindrome (428635536824).

The spelling of 428614120000 in words is "four hundred twenty-eight billion, six hundred fourteen million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 440000 974123 1948246 3896492 4870615 7792984 9741230 10715353 15585968 19482460 21430706 24353075 31171936 38964920 42861412 48706150 53576765 62343872 77929840 85722824 97412300 107153530 121765375 155859680 171445648 194824600 214307060 243530750 267883825 311719360 342891296 389649200 428614120 487061500 535767650 608826875 685782592 779298400 857228240 974123000 1071535300 1217653750 1339419125 1558596800 1714456480 1948246000 2143070600 2435307500 2678838250 3428912960 3896492000 4286141200 4870615000 5357676500 6697095625 7792984000 8572282400 9741230000 10715353000 13394191250 17144564800 19482460000 21430706000 26788382500 38964920000 42861412000 53576765000 85722824000 107153530000 214307060000 428614120000