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42523040200 = 23527310128837
BaseRepresentation
bin100111100110100100…
…100001100111001000
311001202111121020222211
4213212210201213020
51144041344241300
631311304154504
73033521610064
oct474644414710
9131674536884
1042523040200
1117041169533
1282a8a68a34
1340189bab64
1420b56d8aa4
15118d2644ba
hex9e69219c8

42523040200 has 96 divisors (see below), whose sum is σ = 101216189160. Its totient is φ = 16609536000.

The previous prime is 42523040177. The next prime is 42523040213. The reversal of 42523040200 is 204032524.

It can be written as a sum of positive squares in 12 ways, for example, as 15445021284 + 27078018916 = 124278^2 + 164554^2 .

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, 1460182 + ... + 1489018.

Almost surely, 242523040200 is an apocalyptic number.

42523040200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42523040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50608094580).

42523040200 is an abundant number, since it is smaller than the sum of its proper divisors (58693148960).

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

42523040200 is a wasteful number, since it uses less digits than its factorization.

42523040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29027 (or 29018 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 42523040200 its reverse (204032524), we get a palindrome (42727072724).

The spelling of 42523040200 in words is "forty-two billion, five hundred twenty-three million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 101 146 200 202 292 365 404 505 584 730 808 1010 1460 1825 2020 2525 2920 3650 4040 5050 7300 7373 10100 14600 14746 20200 28837 29492 36865 57674 58984 73730 115348 144185 147460 184325 230696 288370 294920 368650 576740 720925 737300 1153480 1441850 1474600 2105101 2883700 2912537 4210202 5767400 5825074 8420404 10525505 11650148 14562685 16840808 21051010 23300296 29125370 42102020 52627525 58250740 72813425 84204040 105255050 116501480 145626850 210510100 212615201 291253700 421020200 425230402 582507400 850460804 1063076005 1700921608 2126152010 4252304020 5315380025 8504608040 10630760050 21261520100 42523040200