Search a number
-
+
42323145034400 = 255252903931293
BaseRepresentation
bin10011001111110001000000…
…00001101000101010100000
312112212001102202011110101222
421213320200001220222200
521021410300112100100
6230002552344514212
711625513663032516
oct1147704001505240
9175761382143358
1042323145034400
111253816601205a
1248b661377b968
131a80094a9a559
14a64645d504b6
154d5dc72b6485
hex267e20068aa0

42323145034400 has 36 divisors (see below), whose sum is σ = 103321377817182. Its totient is φ = 16929258013440.

The previous prime is 42323145034361. The next prime is 42323145034451. The reversal of 42323145034400 is 443054132324.

It can be written as a sum of positive squares in 3 ways, for example, as 33529334364304 + 8793810670096 = 5790452^2 + 2965436^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26451964847 + ... + 26451966446.

Almost surely, 242323145034400 is an apocalyptic number.

42323145034400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42323145034400 is an abundant number, since it is smaller than the sum of its proper divisors (60998232782782).

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

42323145034400 is a wasteful number, since it uses less digits than its factorization.

42323145034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52903931313 (or 52903931300 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 42323145034400 its reverse (443054132324), we get a palindrome (42766199166724).

The spelling of 42323145034400 in words is "forty-two trillion, three hundred twenty-three billion, one hundred forty-five million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 52903931293 105807862586 211615725172 264519656465 423231450344 529039312930 846462900688 1058078625860 1322598282325 1692925801376 2116157251720 2645196564650 4232314503440 5290393129300 8464629006880 10580786258600 21161572517200 42323145034400