Search a number
-
+
4043344420440 = 2332513863962483
BaseRepresentation
bin111010110101101010000…
…110111001111001011000
3112022112120121212101210100
4322311222012321321120
51012221232132423230
612333253051215400
7565056562334613
oct72655206717130
915275517771710
104043344420440
111319855574246
12553763a47560
13234393a13bb0
14dd9adb6b17a
157029b3bb660
hex3ad6a1b9e58

4043344420440 has 96 divisors (see below), whose sum is σ = 14151705487920. Its totient is φ = 995284779264.

The previous prime is 4043344420439. The next prime is 4043344420469. The reversal of 4043344420440 is 440244433404.

4043344420440 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 3 + 444 + 204 + 4 + 0 = 666.

It is a super-3 number, since 3×40433444204403 (a number of 39 digits) contains 333 as substring.

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 = 4043344420395 and 4043344420404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431976562 + ... + 431985921.

Almost surely, 24043344420440 is an apocalyptic number.

4043344420440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4043344420440 is an abundant number, since it is smaller than the sum of its proper divisors (10108361067480).

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

4043344420440 is a wasteful number, since it uses less digits than its factorization.

4043344420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863962513 (or 863962506 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4043344420440 its reverse (440244433404), we get a palindrome (4483588853844).

The spelling of 4043344420440 in words is "four trillion, forty-three billion, three hundred forty-four million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 863962483 1727924966 2591887449 3455849932 4319812415 5183774898 6911699864 7775662347 8639624830 10367549796 11231512279 12959437245 15551324694 17279249660 20735099592 22463024558 25918874490 31102649388 33694536837 34558499320 38878311735 44926049116 51837748980 56157561395 62205298776 67389073674 77756623470 89852098232 101083610511 103675497960 112315122790 134778147348 155513246940 168472684185 202167221022 224630245580 269556294696 311026493880 336945368370 404334442044 449260491160 505418052555 673890736740 808668884088 1010836105110 1347781473480 2021672210220 4043344420440