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24044134000224 = 2531319266133013
BaseRepresentation
bin1010111011110001101100…
…00100001110011001100000
310011010121010001001201021210
411131320312010032121200
511122414341301001344
6123045420032550120
75031063024603432
oct535706604163140
9104117101051253
1024044134000224
1177300728a5258
122843ab79b2340
13105547676c8b0
145d1a56c00652
152ba69a71bdb9
hex15de3610e660

24044134000224 has 48 divisors (see below), whose sum is σ = 67970917273392. Its totient is φ = 7398195076608.

The previous prime is 24044134000219. The next prime is 24044134000247. The reversal of 24044134000224 is 42200043144042.

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

It is a junction number, because it is equal to n+sod(n) for n = 24044134000191 and 24044134000200.

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, 9633065259 + ... + 9633067754.

It is an arithmetic number, because the mean of its divisors is an integer number (1416060776529).

Almost surely, 224044134000224 is an apocalyptic number.

24044134000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24044134000224 is an abundant number, since it is smaller than the sum of its proper divisors (43926783273168).

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

24044134000224 is a wasteful number, since it uses less digits than its factorization.

24044134000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19266133039 (or 19266133031 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 24044134000224 its reverse (42200043144042), we get a palindrome (66244177144266).

The spelling of 24044134000224 in words is "twenty-four trillion, forty-four billion, one hundred thirty-four million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 19266133013 38532266026 57798399039 77064532052 115596798078 154129064104 231193596156 250459729169 308258128208 462387192312 500919458338 616516256416 751379187507 924774384624 1001838916676 1502758375014 1849548769248 2003677833352 3005516750028 4007355666704 6011033500056 8014711333408 12022067000112 24044134000224