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24214131324 = 22321135952343
BaseRepresentation
bin10110100011010001…
…100101001001111100
32022111112011022122200
4112203101211021330
5344042304200244
615042424511500
71515022502025
oct264321451174
968445138580
1024214131324
11a2a6278289
12483931b590
13238b790776
141259c59c4c
1596abdc669
hex5a346527c

24214131324 has 36 divisors (see below), whose sum is σ = 61749616656. Its totient is φ = 7999947648.

The previous prime is 24214131287. The next prime is 24214131367. The reversal of 24214131324 is 42313141242.

24214131324 is a `hidden beast` number, since 242 + 1 + 413 + 1 + 3 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2972104 + ... + 2980239.

Almost surely, 224214131324 is an apocalyptic number.

It is an amenable number.

24214131324 is an abundant number, since it is smaller than the sum of its proper divisors (37535485332).

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

24214131324 is a wasteful number, since it uses less digits than its factorization.

24214131324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952466 (or 5952461 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 24214131324 its reverse (42313141242), we get a palindrome (66527272566).

The spelling of 24214131324 in words is "twenty-four billion, two hundred fourteen million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 5952343 11904686 17857029 23809372 35714058 53571087 71428116 107142174 214284348 672614759 1345229518 2017844277 2690459036 4035688554 6053532831 8071377108 12107065662 24214131324