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443411014324140 = 223253766578230379
BaseRepresentation
bin110010011010001111010101…
…1111111111000111110101100
32011010222200022222102102011100
41210310132223333320332230
5431104321224131333030
64211020112522123100
7162253250202246402
oct14464365377707654
92133880288372140
10443411014324140
11119314611980565
1241894037650490
131605562cb54bb5
147b6d2c993b472
15363e210e06360
hex19347abff8fac

443411014324140 has 72 divisors (see below), whose sum is σ = 1381365123924240. Its totient is φ = 115047182093184.

The previous prime is 443411014324139. The next prime is 443411014324169. The reversal of 443411014324140 is 41423410114344.

443411014324140 is a `hidden beast` number, since 4 + 4 + 3 + 41 + 101 + 432 + 41 + 40 = 666.

It is a super-2 number, since 2×4434110143241402 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 443411014324095 and 443411014324104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33289108530 + ... + 33289121849.

It is an arithmetic number, because the mean of its divisors is an integer number (19185626721170).

Almost surely, 2443411014324140 is an apocalyptic number.

It is an amenable number.

443411014324140 is an abundant number, since it is smaller than the sum of its proper divisors (937954109600100).

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

443411014324140 is a wasteful number, since it uses less digits than its factorization.

443411014324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66578230431 (or 66578230426 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 443411014324140 its reverse (41423410114344), we get a palindrome (484834424438484).

The spelling of 443411014324140 in words is "four hundred forty-three trillion, four hundred eleven billion, fourteen million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 66578230379 133156460758 199734691137 266312921516 332891151895 399469382274 599204073411 665782303790 798938764548 998673455685 1198408146822 1331564607580 1997346911370 2396816293644 2463394524023 2996020367055 3994693822740 4926789048046 5992040734110 7390183572069 9853578096092 11984081468220 12316972620115 14780367144138 22170550716207 24633945240230 29560734288276 36950917860345 44341101432414 49267890480460 73901835720690 88682202864828 110852753581035 147803671441380 221705507162070 443411014324140