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4149011449 = 111723142101
BaseRepresentation
bin1111011101001100…
…1110001111111001
3101201011002121201201
43313103032033321
531444121331244
61523411414201
7204550005202
oct36723161771
911634077651
104149011449
11183a010790
129795b4361
1351176567b
142b50625a9
151943abad4
hexf74ce3f9

4149011449 has 24 divisors (see below), whose sum is σ = 4963320576. Its totient is φ = 3435360000.

The previous prime is 4149011431. The next prime is 4149011453. The reversal of 4149011449 is 9441109414.

It is a de Polignac number, because none of the positive numbers 2k-4149011449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4149011459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77499 + ... + 119599.

It is an arithmetic number, because the mean of its divisors is an integer number (206805024).

Almost surely, 24149011449 is an apocalyptic number.

It is an amenable number.

4149011449 is a deficient number, since it is larger than the sum of its proper divisors (814309127).

4149011449 is a wasteful number, since it uses less digits than its factorization.

4149011449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42177 (or 42160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 4149011449 is about 64412.8205328722. The cubic root of 4149011449 is about 1606.8729666043.

The spelling of 4149011449 in words is "four billion, one hundred forty-nine million, eleven thousand, four hundred forty-nine".

Divisors: 1 11 17 31 187 289 341 527 3179 5797 8959 42101 98549 463111 715717 1305131 7872887 12167189 14356441 22187227 133839079 244059497 377182859 4149011449