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4234430443140 = 22325113208182421
BaseRepresentation
bin111101100111100111101…
…110001110111010000100
3112222210210201221010020100
4331213213232032322010
51023334103143140030
613001134232004100
7614633063616612
oct75474756167204
915883721833210
104234430443140
1113928a2659357
125847b2230630
132493c7341591
14108d3a02a6b2
1575231ea7360
hex3d9e7b8ee84

4234430443140 has 72 divisors (see below), whose sum is σ = 12958106674968. Its totient is φ = 1119188689920.

The previous prime is 4234430443099. The next prime is 4234430443141. The reversal of 4234430443140 is 413440344324.

4234430443140 is a `hidden beast` number, since 4 + 2 + 3 + 44 + 30 + 443 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101471554116 + 4132958889024 = 318546^2 + 2032968^2 .

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 = 4234430443095 and 4234430443104.

It is not an unprimeable number, because it can be changed into a prime (4234430443141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104070871 + ... + 104111550.

It is an arithmetic number, because the mean of its divisors is an integer number (179973703819).

Almost surely, 24234430443140 is an apocalyptic number.

It is an amenable number.

4234430443140 is an abundant number, since it is smaller than the sum of its proper divisors (8723676231828).

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

4234430443140 is a wasteful number, since it uses less digits than its factorization.

4234430443140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208182549 (or 208182544 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4234430443140 its reverse (413440344324), we get a palindrome (4647870787464).

The spelling of 4234430443140 in words is "four trillion, two hundred thirty-four billion, four hundred thirty million, four hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 208182421 416364842 624547263 832729684 1040912105 1249094526 1873641789 2081824210 2498189052 3122736315 3747283578 4163648420 6245472630 7494567156 9368208945 12490945260 18736417890 23524613573 37472835780 47049227146 70573840719 94098454292 117623067865 141147681438 211721522157 235246135730 282295362876 352869203595 423443044314 470492271460 705738407190 846886088628 1058607610785 1411476814380 2117215221570 4234430443140