Search a number
-
+
4441424009328 = 243275142599643
BaseRepresentation
bin100000010100001100110…
…0000000001100001110000
3120201121002110211202222200
41000220121200001201300
51040232014021244303
613240210110303200
7635611425115455
oct100503140014160
916647073752880
104441424009328
11146266307a319
125b893bab7b00
13262a945230a7
14114d74c7182c
157a7e93c43a3
hex40a19801870

4441424009328 has 120 divisors (see below), whose sum is σ = 12450582992640. Its totient is φ = 1478002896000.

The previous prime is 4441424009317. The next prime is 4441424009333. The reversal of 4441424009328 is 8239004241444.

4441424009328 is a `hidden beast` number, since 44 + 41 + 4 + 240 + 0 + 9 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460580475 + ... + 460590117.

It is an arithmetic number, because the mean of its divisors is an integer number (103754858272).

Almost surely, 24441424009328 is an apocalyptic number.

4441424009328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4441424009328 is an abundant number, since it is smaller than the sum of its proper divisors (8009158983312).

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

4441424009328 is a wasteful number, since it uses less digits than its factorization.

4441424009328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14667 (or 14658 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 4441424009328 in words is "four trillion, four hundred forty-one billion, four hundred twenty-four million, nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 751 1502 2253 3004 4259 4506 6008 6759 8518 9012 9643 12016 12777 13518 17036 18024 19286 25554 27036 28929 34072 36048 38331 38572 51108 54072 57858 68144 76662 77144 86787 102216 108144 115716 153324 154288 173574 204432 231432 306648 347148 462864 613296 694296 1388592 3198509 6397018 7241893 9595527 12794036 14483786 19191054 21725679 25588072 28786581 28967572 38382108 41069537 43451358 51176144 57573162 57935144 65177037 76764216 82139074 86902716 115146324 115870288 123208611 130354074 153528432 164278148 173805432 230292648 246417222 260708148 328556296 347610864 369625833 460585296 492834444 521416296 657112592 739251666 985668888 1042832592 1478503332 1971337776 2957006664 5914013328 30843222287 61686444574 92529666861 123372889148 185059333722 246745778296 277589000583 370118667444 493491556592 555178001166 740237334888 1110356002332 1480474669776 2220712004664 4441424009328