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24123114141 = 375371305267
BaseRepresentation
bin10110011101110110…
…011000001010011101
32022021011220011112220
4112131312120022131
5343401004123031
615025414015553
71512536041560
oct263566301235
968234804486
1024123114141
11a259961775
1248129475b9
132375973849
14124bb264d7
15962c0e596
hex59dd9829d

24123114141 has 32 divisors (see below), whose sum is σ = 37980223488. Its totient is φ = 13334018880.

The previous prime is 24123114139. The next prime is 24123114151. The reversal of 24123114141 is 14141132142.

It is a happy number.

It is not a de Polignac number, because 24123114141 - 21 = 24123114139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24123114151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73611 + ... + 231656.

It is an arithmetic number, because the mean of its divisors is an integer number (1186881984).

Almost surely, 224123114141 is an apocalyptic number.

24123114141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

24123114141 is a deficient number, since it is larger than the sum of its proper divisors (13857109347).

24123114141 is a wasteful number, since it uses less digits than its factorization.

24123114141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305401.

The product of its digits is 768, while the sum is 24.

Adding to 24123114141 its reverse (14141132142), we get a palindrome (38264246283).

The spelling of 24123114141 in words is "twenty-four billion, one hundred twenty-three million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 21 53 71 159 213 371 497 1113 1491 3763 11289 26341 79023 305267 915801 2136869 6410607 16179151 21673957 48537453 65021871 113254057 151717699 339762171 455153097 1148719721 3446159163 8041038047 24123114141