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41144523309 = 3217373720961
BaseRepresentation
bin100110010100011001…
…111001101000101101
310221012102200100022200
4212110121321220231
51133230444221214
630522421532113
72654412451311
oct462431715055
9127172610280
1041144523309
11164a401337a
127b83274039
133b592218a6
141dc45b9b41
15110c214d09
hex994679a2d

41144523309 has 24 divisors (see below), whose sum is σ = 63095710392. Its totient is φ = 25746923520.

The previous prime is 41144523293. The next prime is 41144523331. The reversal of 41144523309 is 90332544114.

41144523309 is a `hidden beast` number, since 411 + 4 + 4 + 5 + 233 + 0 + 9 = 666.

41144523309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10055075625 + 31089447684 = 100275^2 + 176322^2 .

It is not a de Polignac number, because 41144523309 - 24 = 41144523293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41144523349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303412 + ... + 417549.

It is an arithmetic number, because the mean of its divisors is an integer number (2628987933).

Almost surely, 241144523309 is an apocalyptic number.

It is an amenable number.

41144523309 is a deficient number, since it is larger than the sum of its proper divisors (21951187083).

41144523309 is a wasteful number, since it uses less digits than its factorization.

41144523309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721357 (or 721354 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 41144 and 523309, that added together give a triangular number (564453 = T1062).

The spelling of 41144523309 in words is "forty-one billion, one hundred forty-four million, five hundred twenty-three thousand, three hundred nine".

Divisors: 1 3 9 17 51 153 373 1119 3357 6341 19023 57069 720961 2162883 6488649 12256337 36769011 110307033 268918453 806755359 2420266077 4571613701 13714841103 41144523309