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24103542141 = 337283450643
BaseRepresentation
bin10110011100101011…
…101101110101111101
32022012211001210211000
4112130223231311331
5343331001322031
615023434320513
71512210504420
oct263453556575
968184053730
1024103542141
11a249903a68
124808289139
1323718b0193
1412492ad9b7
159611453e6
hex59caedd7d

24103542141 has 32 divisors (see below), whose sum is σ = 40954526720. Its totient is φ = 13724752752.

The previous prime is 24103542137. The next prime is 24103542149. The reversal of 24103542141 is 14124530142.

24103542141 is a `hidden beast` number, since 2 + 4 + 103 + 542 + 14 + 1 = 666.

It is not a de Polignac number, because 24103542141 - 22 = 24103542137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24103542149) 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 31 ways as a sum of consecutive naturals, for example, 171835 + ... + 278808.

It is an arithmetic number, because the mean of its divisors is an integer number (1279828960).

Almost surely, 224103542141 is an apocalyptic number.

24103542141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

24103542141 is a deficient number, since it is larger than the sum of its proper divisors (16850984579).

24103542141 is a wasteful number, since it uses less digits than its factorization.

24103542141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450942 (or 450936 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 24103542141 in words is "twenty-four billion, one hundred three million, five hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 283 849 1981 2547 5943 7641 17829 53487 450643 1351929 3154501 4055787 9463503 12167361 28390509 85171527 127531969 382595907 892723783 1147787721 2678171349 3443363163 8034514047 24103542141