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41552241040000 = 27542272288119
BaseRepresentation
bin10010111001010101000101…
…00100010001101010000000
312110010100121010021221121101
421130222202210101222000
520421242442201240000
6224212500324504144
711516023161143245
oct1134524244215200
9173110533257541
1041552241040000
111227022a890a89
1247b112954b054
131a25489b21452
14a391d3d575cc
154c0d08582e6a
hex25caa2911a80

41552241040000 has 160 divisors (see below), whose sum is σ = 103897442800800. Its totient is φ = 16547669376000.

The previous prime is 41552241039887. The next prime is 41552241040021. The reversal of 41552241040000 is 4014225514.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 17015941 + ... + 19304059.

It is an arithmetic number, because the mean of its divisors is an integer number (649359017505).

Almost surely, 241552241040000 is an apocalyptic number.

41552241040000 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 41552241040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51948721400400).

41552241040000 is an abundant number, since it is smaller than the sum of its proper divisors (62345201760800).

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

41552241040000 is an equidigital number, since it uses as much as digits as its factorization.

41552241040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288380 (or 2288353 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 41552241040000 its reverse (4014225514), we get a palindrome (41556255265514).

The spelling of 41552241040000 in words is "forty-one trillion, five hundred fifty-two billion, two hundred forty-one million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 227 250 320 400 454 500 625 640 800 908 1000 1135 1250 1600 1816 2000 2270 2500 3200 3632 4000 4540 5000 5675 7264 8000 9080 10000 11350 14528 16000 18160 20000 22700 28375 29056 36320 40000 45400 56750 72640 80000 90800 113500 141875 145280 181600 227000 283750 363200 454000 567500 726400 908000 1135000 1816000 2270000 2288119 3632000 4540000 4576238 9080000 9152476 11440595 18160000 18304952 22881190 36609904 45762380 57202975 73219808 91524760 114405950 146439616 183049520 228811900 286014875 292879232 366099040 457623800 519403013 572029750 732198080 915247600 1038806026 1144059500 1430074375 1464396160 1830495200 2077612052 2288119000 2597015065 2860148750 3660990400 4155224104 4576238000 5194030130 5720297500 7321980800 8310448208 9152476000 10388060260 11440595000 12985075325 16620896416 18304952000 20776120520 22881190000 25970150650 33241792832 36609904000 41552241040 45762380000 51940301300 64925376625 66483585664 83104482080 91524760000 103880602600 129850753250 166208964160 183049520000 207761205200 259701506500 324626883125 332417928320 415522410400 519403013000 649253766250 831044820800 1038806026000 1298507532500 1662089641600 2077612052000 2597015065000 4155224104000 5194030130000 8310448208000 10388060260000 20776120520000 41552241040000