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42743814800 = 2452589718121
BaseRepresentation
bin100111110011101110…
…101101101010010000
311002022220000202210212
4213303232231222100
51200014404033200
631345232143252
73042142300601
oct476356555220
9132286022725
1042743814800
1117144850785
12834a997b28
13405266a00b
1420d6b67da8
1511a2824035
hex9f3bada90

42743814800 has 60 divisors (see below), whose sum is σ = 102715097316. Its totient is φ = 17093683200.

The previous prime is 42743814739. The next prime is 42743814851. The reversal of 42743814800 is 841834724.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37112464 + 42706702336 = 6092^2 + 206656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2349740 + ... + 2367860.

Almost surely, 242743814800 is an apocalyptic number.

42743814800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42743814800 is an abundant number, since it is smaller than the sum of its proper divisors (59971282516).

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

42743814800 is a wasteful number, since it uses less digits than its factorization.

42743814800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24036 (or 24025 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 42743814800 in words is "forty-two billion, seven hundred forty-three million, eight hundred fourteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5897 11794 18121 23588 29485 36242 47176 58970 72484 90605 94352 117940 144968 147425 181210 235880 289936 294850 362420 453025 471760 589700 724840 906050 1179400 1449680 1812100 2358800 3624200 7248400 106859537 213719074 427438148 534297685 854876296 1068595370 1709752592 2137190740 2671488425 4274381480 5342976850 8548762960 10685953700 21371907400 42743814800