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40094055225 = 32527219072
BaseRepresentation
bin100101010101110010…
…101011101100111001
310211111020001001000100
4211111302223230321
51124103034231400
630230254430013
72616365563200
oct452562535471
9124436031010
1040094055225
111600505a134
12792b502309
133a1c6c4243
141d24c92237
151099db5100
hex955cabb39

40094055225 has 81 divisors (see below), whose sum is σ = 83581292847. Its totient is φ = 18319099680.

The previous prime is 40094055203. The next prime is 40094055233. The reversal of 40094055225 is 52255049004.

The square root of 40094055225 is 200235.

It is a perfect power (a square), and thus also a powerful number.

40094055225 is a `hidden beast` number, since 40 + 0 + 9 + 40 + 552 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14433859881 + 25660195344 = 120141^2 + 160188^2 .

It is not a de Polignac number, because 40094055225 - 211 = 40094053177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40094055225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21023722 + ... + 21025628.

Almost surely, 240094055225 is an apocalyptic number.

40094055225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40094055225 is the 200235-th square number.

40094055225 is the 100118-th centered octagonal number.

It is an amenable number.

40094055225 is an abundant number, since it is smaller than the sum of its proper divisors (43487237622).

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

40094055225 is an equidigital number, since it uses as much as digits as its factorization.

40094055225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 40094055225 by its sum of digits (36), we get a square (1443385988100 = 12014102).

The spelling of 40094055225 in words is "forty billion, ninety-four million, fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 1907 2205 3675 5721 9535 11025 13349 17163 28605 40047 47675 66745 85815 93443 120141 143025 200235 280329 333725 429075 467215 600705 840987 1001175 1401645 2336075 3003525 3636649 4204935 7008225 10909947 18183245 21024675 25456543 32729841 54549735 76369629 90916225 127282715 163649205 178195801 229108887 272748675 381848145 534587403 636413575 818246025 890979005 1145544435 1603762209 1909240725 2672937015 4454895025 5727722175 8018811045 13364685075 40094055225