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4441314342220 = 2257167691274909
BaseRepresentation
bin100000010100001001011…
…1101101011010101001100
3120201120210211111002222221
41000220102331223111030
51040231302432422340
613240151151545124
7635605624011340
oct100502275532514
916646724432887
104441314342220
111462607185848
125b890b22b1a4
13262a778a6402
14114d64485620
157a7de96044a
hex40a12f6b54c

4441314342220 has 96 divisors (see below), whose sum is σ = 10738538818560. Its totient is φ = 1511422191360.

The previous prime is 4441314342191. The next prime is 4441314342233. The reversal of 4441314342220 is 222434131444.

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 31 ways as a sum of consecutive naturals, for example, 16018126 + ... + 16293034.

It is an arithmetic number, because the mean of its divisors is an integer number (111859779360).

Almost surely, 24441314342220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441314342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369269409280).

4441314342220 is an abundant number, since it is smaller than the sum of its proper divisors (6297224476340).

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

4441314342220 is a wasteful number, since it uses less digits than its factorization.

4441314342220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275783 (or 275781 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 4441314342220 its reverse (222434131444), we get a palindrome (4663748473664).

The spelling of 4441314342220 in words is "four trillion, four hundred forty-one billion, three hundred fourteen million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 691 835 1169 1382 1670 2338 2764 3340 3455 4676 4837 5845 6910 9674 11690 13820 19348 23380 24185 48370 96740 115397 230794 274909 461588 549818 576985 807779 1099636 1153970 1374545 1615558 1924363 2307940 2749090 3231116 3848726 4038895 5498180 7697452 8077790 9621815 16155580 19243630 38487260 45909803 91819606 183639212 189962119 229549015 321368621 379924238 459098030 642737242 759848476 918196060 949810595 1285474484 1329734833 1606843105 1899621190 2659469666 3213686210 3799242380 5318939332 6427372420 6648674165 13297348330 26594696660 31723673873 63447347746 126894695492 158618369365 222065717111 317236738730 444131434222 634473477460 888262868444 1110328585555 2220657171110 4441314342220