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440214214220 = 225113495733449
BaseRepresentation
bin1100110011111101100…
…11111101011001001100
31120002021021201010011022
412121332303331121030
524203024314323340
6534122010213312
743542630040034
oct6317663753114
91502237633138
10440214214220
1115a76a4a1790
1271396a24238
1332686bb3981
1417440db28c4
15b6b70e63b5
hex667ecfd64c

440214214220 has 48 divisors (see below), whose sum is σ = 1011380580000. Its totient is φ = 159619192320.

The previous prime is 440214214217. The next prime is 440214214229. The reversal of 440214214220 is 22412412044.

It is a happy number.

It is a super-3 number, since 3×4402142142203 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 440214214220.

It is not an unprimeable number, because it can be changed into a prime (440214214229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2789945 + ... + 2943504.

It is an arithmetic number, because the mean of its divisors is an integer number (21070428750).

Almost surely, 2440214214220 is an apocalyptic number.

It is an amenable number.

440214214220 is an abundant number, since it is smaller than the sum of its proper divisors (571166365780).

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

440214214220 is a wasteful number, since it uses less digits than its factorization.

440214214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733818 (or 5733816 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 440214214220 its reverse (22412412044), we get a palindrome (462626626264).

The spelling of 440214214220 in words is "four hundred forty billion, two hundred fourteen million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 349 698 1396 1745 3490 3839 6980 7678 15356 19195 38390 76780 5733449 11466898 22933796 28667245 57334490 63067939 114668980 126135878 252271756 315339695 630679390 1261358780 2000973701 4001947402 8003894804 10004868505 20009737010 22010710711 40019474020 44021421422 88042842844 110053553555 220107107110 440214214220