Search a number
-
+
441012220430000 = 245479558243317
BaseRepresentation
bin110010001000110010010100…
…0101111011000011010110000
32010211111100121220111201101212
41210101210220233120122300
5430301021011412230000
64201542114524015252
7161615036641466042
oct14421445057303260
92124440556451355
10441012220430000
1111857a2612a458a
1241567158391528
1315c10373b03bcb
147ac9169167a92
1535ebb17374c35
hex1911928bd86b0

441012220430000 has 100 divisors (see below), whose sum is σ = 1081250317767840. Its totient is φ = 174171914592000.

The previous prime is 441012220429967. The next prime is 441012220430069. The reversal of 441012220430000 is 34022210144.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×4410122204300003 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 278331659 + ... + 279911658.

Almost surely, 2441012220430000 is an apocalyptic number.

441012220430000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441012220430000 is an abundant number, since it is smaller than the sum of its proper divisors (640238097337840).

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

441012220430000 is an equidigital number, since it uses as much as digits as its factorization.

441012220430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558243424 (or 558243403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 441012220430000 its reverse (34022210144), we get a palindrome (441046242640144).

The spelling of 441012220430000 in words is "four hundred forty-one trillion, twelve billion, two hundred twenty million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 625 632 790 1000 1250 1264 1580 1975 2000 2500 3160 3950 5000 6320 7900 9875 10000 15800 19750 31600 39500 49375 79000 98750 158000 197500 395000 790000 558243317 1116486634 2232973268 2791216585 4465946536 5582433170 8931893072 11164866340 13956082925 22329732680 27912165850 44101222043 44659465360 55824331700 69780414625 88202444086 111648663400 139560829250 176404888172 220506110215 223297326800 279121658500 348902073125 352809776344 441012220430 558243317000 697804146250 705619552688 882024440860 1102530551075 1116486634000 1395608292500 1764048881720 2205061102150 2791216585000 3528097763440 4410122204300 5512652755375 5582433170000 8820244408600 11025305510750 17640488817200 22050611021500 27563263776875 44101222043000 55126527553750 88202444086000 110253055107500 220506110215000 441012220430000