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444320140 = 225114797443
BaseRepresentation
bin11010011110111…
…100100110001100
31010222001210122111
4122132330212030
51402221221030
6112031153404
714003441665
oct3236744614
91128053574
10444320140
11208897330
12104975864
137108b634
144302036c
152901a62a
hex1a7bc98c

444320140 has 96 divisors (see below), whose sum is σ = 1052642304. Its totient is φ = 156149760.

The previous prime is 444320131. The next prime is 444320159. The reversal of 444320140 is 41023444.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002759 + ... + 1003201.

It is an arithmetic number, because the mean of its divisors is an integer number (10965024).

Almost surely, 2444320140 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 444320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526321152).

444320140 is an abundant number, since it is smaller than the sum of its proper divisors (608322164).

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

444320140 is a wasteful number, since it uses less digits than its factorization.

444320140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 444320140 is about 21078.9027228649. The cubic root of 444320140 is about 763.0716752010.

Adding to 444320140 its reverse (41023444), we get a palindrome (485343584).

The spelling of 444320140 in words is "four hundred forty-four million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 97 110 188 194 220 235 388 443 470 485 517 886 940 970 1034 1067 1772 1940 2068 2134 2215 2585 4268 4430 4559 4873 5170 5335 8860 9118 9746 10340 10670 18236 19492 20821 21340 22795 24365 41642 42971 45590 48730 50149 83284 85942 91180 97460 100298 104105 171884 200596 208210 214855 229031 250745 416420 429710 458062 472681 501490 859420 916124 945362 1002980 1145155 1890724 2019637 2290310 2363405 4039274 4580620 4726810 8078548 9453620 10098185 20196370 22216007 40392740 44432014 88864028 111080035 222160070 444320140