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2034141024 = 253113187513
BaseRepresentation
bin111100100111110…
…1000011101100000
312020202121001220110
41321033220131200
513131220003044
6533502411320
7101256625206
oct17117503540
95222531813
102034141024
11954246293
12489290b40
1326556c156
14154225076
15bd8a86b9
hex793e8760

2034141024 has 48 divisors (see below), whose sum is σ = 5386902192. Its totient is φ = 672043008.

The previous prime is 2034141019. The next prime is 2034141041. The reversal of 2034141024 is 4201414302.

2034141024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82909 + ... + 104604.

It is an arithmetic number, because the mean of its divisors is an integer number (112227129).

Almost surely, 22034141024 is an apocalyptic number.

2034141024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2034141024 is an abundant number, since it is smaller than the sum of its proper divisors (3352761168).

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

2034141024 is a wasteful number, since it uses less digits than its factorization.

2034141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187639 (or 187631 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2034141024 is about 45101.4525708430. The cubic root of 2034141024 is about 1267.0498044426.

Adding to 2034141024 its reverse (4201414302), we get a palindrome (6235555326).

The spelling of 2034141024 in words is "two billion, thirty-four million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 187513 375026 562539 750052 1125078 1500104 2250156 3000208 4500312 6000416 9000624 18001248 21188969 42377938 63566907 84755876 127133814 169511752 254267628 339023504 508535256 678047008 1017070512 2034141024