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434100300000 = 253551447001
BaseRepresentation
bin1100101000100100110…
…01001110100011100000
31112111111012022002112220
412110102121032203200
524103014134100000
6531231203551040
743235260445163
oct6242231164340
91474435262486
10434100300000
11158112336514
127016b38b480
1331c21342053
1417020dcdada
15b45a4ab1a0
hex651264e8e0

434100300000 has 144 divisors (see below), whose sum is σ = 1424301432624. Its totient is φ = 115760000000.

The previous prime is 434100299993. The next prime is 434100300079. The reversal of 434100300000 is 3001434.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 423501 + ... + 1023500.

It is an arithmetic number, because the mean of its divisors is an integer number (9890982171).

Almost surely, 2434100300000 is an apocalyptic number.

434100300000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434100300000 is an abundant number, since it is smaller than the sum of its proper divisors (990201132624).

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

434100300000 is an equidigital number, since it uses as much as digits as its factorization.

434100300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447039 (or 1447011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 434100300000 its reverse (3001434), we get a palindrome (434103301434).

The spelling of 434100300000 in words is "four hundred thirty-four billion, one hundred million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 1447001 2894002 4341003 5788004 7235005 8682006 11576008 14470010 17364012 21705015 23152016 28940020 34728024 36175025 43410030 46304032 57880040 69456048 72350050 86820060 108525075 115760080 138912096 144700100 173640120 180875125 217050150 231520160 289400200 347280240 361750250 434100300 542625375 578800400 694560480 723500500 868200600 904375625 1085250750 1157600800 1447001000 1736401200 1808751250 2170501500 2713126875 2894002000 3472802400 3617502500 4341003000 4521878125 5426253750 5788004000 7235005000 8682006000 9043756250 10852507500 13565634375 14470010000 17364012000 18087512500 21705015000 27131268750 28940020000 36175025000 43410030000 54262537500 72350050000 86820060000 108525075000 144700100000 217050150000 434100300000