Search a number
-
+
4443101430040 = 2357132887422803
BaseRepresentation
bin100000010100111110101…
…1110111000000100011000
3120201202102101012120121201
41000221331132320010120
51040243432431230130
613241044351243544
7636001124010040
oct100517536700430
916652371176551
104443101430040
111463343a20329
125b91298195b4
13262ca0bc5220
1411509395a720
157a8967b7bca
hex40a7d7b8118

4443101430040 has 128 divisors (see below), whose sum is σ = 12308264156160. Its totient is φ = 1405677970944.

The previous prime is 4443101430037. The next prime is 4443101430043. The reversal of 4443101430040 is 400341013444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4443101430037) and next prime (4443101430043).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4443101429990 and 4443101430008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443101430043) 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 31 ways as a sum of consecutive naturals, for example, 10297279 + ... + 10720081.

It is an arithmetic number, because the mean of its divisors is an integer number (96158313720).

Almost surely, 24443101430040 is an apocalyptic number.

4443101430040 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 4443101430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6154132078080).

4443101430040 is an abundant number, since it is smaller than the sum of its proper divisors (7865162726120).

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

4443101430040 is a wasteful number, since it uses less digits than its factorization.

4443101430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425721 (or 425717 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4443101430040 its reverse (400341013444), we get a palindrome (4843442443484).

The spelling of 4443101430040 in words is "four trillion, four hundred forty-three billion, one hundred one million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 2887 3640 5774 11548 14435 20209 23096 28870 37531 40418 57740 75062 80836 101045 115480 150124 161672 187655 202090 262717 300248 375310 404180 422803 525434 750620 808360 845606 1050868 1313585 1501240 1691212 2101736 2114015 2627170 2959621 3382424 4228030 5254340 5496439 5919242 8456060 10508680 10992878 11838484 14798105 16912120 21985756 23676968 27482195 29596210 38475073 43971512 54964390 59192420 76950146 109928780 118384840 153900292 192375365 219857560 307800584 384750730 769501460 1220632261 1539002920 2441264522 4882529044 6103161305 8544425827 9765058088 12206322610 15868219393 17088851654 24412645220 31736438786 34177703308 42722129135 48825290440 63472877572 68355406616 79341096965 85444258270 111077535751 126945755144 158682193930 170888516540 222155071502 317364387860 341777033080 444310143004 555387678755 634728775720 888620286008 1110775357510 2221550715020 4443101430040