Search a number
-
+
444331114423000 = 2353729067981927
BaseRepresentation
bin110010100000111011110011…
…0001111001110001011011000
32011021020122021100002022110121
41211001313212033032023120
5431214410110243014000
64213002521312323024
7162406602142120300
oct14501674617161330
92137218240068417
10444331114423000
11119639849449102
1241a0241b243474
13160c132396540c
147ba1a52624600
153658112d72b1a
hex1941de63ce2d8

444331114423000 has 96 divisors (see below), whose sum is σ = 1209487429556640. Its totient is φ = 152342096356800.

The previous prime is 444331114422947. The next prime is 444331114423003. The reversal of 444331114423000 is 324411133444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444331114423003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4533941964 + ... + 4534039963.

It is an arithmetic number, because the mean of its divisors is an integer number (12598827391215).

Almost surely, 2444331114423000 is an apocalyptic number.

444331114423000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444331114423000 is an abundant number, since it is smaller than the sum of its proper divisors (765156315133640).

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

444331114423000 is a wasteful number, since it uses less digits than its factorization.

444331114423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9067981962 (or 9067981941 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 444331114423000 its reverse (324411133444), we get a palindrome (444655525556444).

The spelling of 444331114423000 in words is "four hundred forty-four trillion, three hundred thirty-one billion, one hundred fourteen million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 9067981927 18135963854 36271927708 45339909635 63475873489 72543855416 90679819270 126951746978 181359638540 226699548175 253903493956 317379367445 362719277080 444331114423 453399096350 507806987912 634758734890 888662228846 906798192700 1133497740875 1269517469780 1586896837225 1777324457692 1813596385400 2221655572115 2266995481750 2539034939560 3173793674450 3554648915384 4443311144230 4533990963500 6347587348900 7934484186125 8886622288460 9067981927000 11108277860575 12695174697800 15868968372250 17773244576920 22216555721150 31737936744500 44433111442300 55541389302875 63475873489000 88866222884600 111082778605750 222165557211500 444331114423000