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444341334230100 = 2232524311481688223
BaseRepresentation
bin110010100001000000100011…
…1011000101100010001010100
32011021021121122120110022020200
41211002001013120230101110
5431220042023030330400
64213011331350300500
7162410413326053256
oct14502010730542124
92137247576408220
10444341334230100
1111964311324447a
1241a043b1957730
13160c2292053558
147ba2341a43cd6
15365851019db00
hex194204762c454

444341334230100 has 108 divisors (see below), whose sum is σ = 1425153069115776. Its totient is φ = 115735417277760.

The previous prime is 444341334230069. The next prime is 444341334230111. The reversal of 444341334230100 is 1032433143444.

444341334230100 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 4 + 1 + 3 + 342 + 301 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5740805412 + ... + 5740882811.

It is an arithmetic number, because the mean of its divisors is an integer number (13195861751072).

Almost surely, 2444341334230100 is an apocalyptic number.

It is an amenable number.

444341334230100 is an abundant number, since it is smaller than the sum of its proper divisors (980811734885676).

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

444341334230100 is a wasteful number, since it uses less digits than its factorization.

444341334230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11481688286 (or 11481688276 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 444341334230100 its reverse (1032433143444), we get a palindrome (445373767373544).

The spelling of 444341334230100 in words is "four hundred forty-four trillion, three hundred forty-one billion, three hundred thirty-four million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1548 1935 2150 2580 3225 3870 4300 6450 7740 9675 12900 19350 38700 11481688223 22963376446 34445064669 45926752892 57408441115 68890129338 103335194007 114816882230 137780258676 172225323345 206670388014 229633764460 287042205575 344450646690 413340776028 493712593589 516675970035 574084411150 688901293380 861126616725 987425187178 1033351940070 1148168822300 1481137780767 1722253233450 1974850374356 2066703880140 2468562967945 2583379850175 2962275561534 3444506466900 4443413342301 4937125935890 5166759700350 5924551123068 7405688903835 8886826684602 9874251871780 10333519400700 12342814839725 14811377807670 17773653369204 22217066711505 24685629679450 29622755615340 37028444519175 44434133423010 49371259358900 74056889038350 88868266846020 111085333557525 148113778076700 222170667115050 444341334230100