Search a number
-
+
427049033040 = 24325784731951
BaseRepresentation
bin1100011011011100001…
…10110001110101010000
31111211021210002121201100
412031232012301311100
523444044023024130
6524103354504400
742565446613440
oct6155606616520
91454253077640
10427049033040
11155124056263
126a921a35100
1331369529136
141695272a120
15b196416c60
hex636e1b1d50

427049033040 has 120 divisors (see below), whose sum is σ = 1639054879488. Its totient is φ = 97611206400.

The previous prime is 427049033039. The next prime is 427049033053. The reversal of 427049033040 is 40330940724.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 427049032986 and 427049033004.

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 23 ways as a sum of consecutive naturals, for example, 42360936 + ... + 42371015.

Almost surely, 2427049033040 is an apocalyptic number.

427049033040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427049033040 is an abundant number, since it is smaller than the sum of its proper divisors (1212005846448).

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

427049033040 is a wasteful number, since it uses less digits than its factorization.

427049033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84731977 (or 84731968 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 427049033040 its reverse (40330940724), we get a palindrome (467379973764).

The spelling of 427049033040 in words is "four hundred twenty-seven billion, forty-nine million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 84731951 169463902 254195853 338927804 423659755 508391706 593123657 677855608 762587559 847319510 1016783412 1186247314 1270979265 1355711216 1525175118 1694639020 1779370971 2033566824 2372494628 2541958530 2965618285 3050350236 3389278040 3558741942 3812937795 4067133648 4744989256 5083917060 5338112913 5931236570 6100700472 6778556080 7117483884 7625875590 8896854855 9489978512 10167834120 10676225826 11862473140 12201400944 14234967768 15251751180 17793709710 20335668240 21352451652 23724946280 26690564565 28469935536 30503502360 35587419420 42704903304 47449892560 53381129130 61007004720 71174838840 85409806608 106762258260 142349677680 213524516520 427049033040