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434442441330 = 23455009107077
BaseRepresentation
bin1100101001001101100…
…10011001001001110010
31112112101001002200020000
412110212302121021302
524104214231110310
6531325145130430
743246613551602
oct6244662311162
91475331080200
10434442441330
11158278483347
1270245a89a16
1331c771a6241
1417054612c02
15b47a5414c0
hex6526c99272

434442441330 has 80 divisors (see below), whose sum is σ = 1168411578840. Its totient is φ = 115827107328.

The previous prime is 434442441319. The next prime is 434442441371. The reversal of 434442441330 is 33144244434.

434442441330 is a `hidden beast` number, since 43 + 4 + 44 + 244 + 1 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299004456969 + 135437984361 = 546813^2 + 368019^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4003752 + ... + 4110828.

Almost surely, 2434442441330 is an apocalyptic number.

434442441330 is an abundant number, since it is smaller than the sum of its proper divisors (733969137510).

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

434442441330 is a wasteful number, since it uses less digits than its factorization.

434442441330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112105 (or 112096 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 434442441330 its reverse (33144244434), we get a palindrome (467586685764).

The spelling of 434442441330 in words is "four hundred thirty-four billion, four hundred forty-two million, four hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 5009 10018 15027 25045 30054 45081 50090 75135 90162 107077 135243 150270 214154 225405 270486 321231 405729 450810 535385 642462 676215 811458 963693 1070770 1352430 1606155 1927386 2028645 2891079 3212310 4057290 4818465 5782158 8673237 9636930 14455395 17346474 28910790 43366185 86732370 536348693 1072697386 1609046079 2681743465 3218092158 4827138237 5363486930 8045230395 9654276474 14481414711 16090460790 24135691185 28962829422 43444244133 48271382370 72407073555 86888488266 144814147110 217221220665 434442441330