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42314022200200 = 2352297295521069
BaseRepresentation
bin10011001111100000000000…
…10000110010001110001000
312112211011212221221110112211
421213300000100302032020
521021233104140401300
6225554443214514504
711625041626154332
oct1147600020621610
9175734787843484
1042314022200200
1112534304453763
1248b48a8505a34
131a7c26ca402ca
14a6401c4c2452
154d5a414244ba
hex267c00432388

42314022200200 has 48 divisors (see below), whose sum is σ = 101772518926500. Its totient is φ = 16341967192320.

The previous prime is 42314022200167. The next prime is 42314022200213. The reversal of 42314022200200 is 200222041324.

It can be written as a sum of positive squares in 6 ways, for example, as 12935085585444 + 29378936614756 = 3596538^2 + 5420234^2 .

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, 3647754735 + ... + 3647766334.

Almost surely, 242314022200200 is an apocalyptic number.

42314022200200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42314022200200 is an abundant number, since it is smaller than the sum of its proper divisors (59458496726300).

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

42314022200200 is a wasteful number, since it uses less digits than its factorization.

42314022200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7295521114 (or 7295521105 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 42314022200200 its reverse (200222041324), we get a palindrome (42514244241524).

The spelling of 42314022200200 in words is "forty-two trillion, three hundred fourteen billion, twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 7295521069 14591042138 29182084276 36477605345 58364168552 72955210690 145910421380 182388026725 211570111001 291820842760 364776053450 423140222002 729552106900 846280444004 1057850555005 1459104213800 1692560888008 2115701110010 4231402220020 5289252775025 8462804440040 10578505550050 21157011100100 42314022200200