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41323331000144 = 243183313167339
BaseRepresentation
bin10010110010101010101100…
…11101110001011101010000
312102022110201222200001222002
421121111112131301131100
520404020140214001034
6223515402020133132
711463340443666614
oct1131252635613520
9172273658601862
1041323331000144
1112192143063a66
1247748a3b371a8
131a09a091b411b
14a2c0ba4b5344
154b9dac035e7e
hex259556771750

41323331000144 has 20 divisors (see below), whose sum is σ = 82646662001280. Its totient is φ = 19995160161120.

The previous prime is 41323331000141. The next prime is 41323331000173. The reversal of 41323331000144 is 44100013332314.

It is a happy number.

41323331000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

41323331000144 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41323331000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41656583174 + ... + 41656584165.

It is an arithmetic number, because the mean of its divisors is an integer number (4132333100064).

Almost surely, 241323331000144 is an apocalyptic number.

It is an amenable number.

41323331000144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

41323331000144 is a wasteful number, since it uses less digits than its factorization.

41323331000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83313167378 (or 83313167372 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 41323331000144 its reverse (44100013332314), we get a palindrome (85423344332458).

The spelling of 41323331000144 in words is "forty-one trillion, three hundred twenty-three billion, three hundred thirty-one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 62 124 248 496 83313167339 166626334678 333252669356 666505338712 1333010677424 2582708187509 5165416375018 10330832750036 20661665500072 41323331000144