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4144107 = 311178389
BaseRepresentation
bin1111110011101111101011
321210112122110
433303233223
52030102412
6224453403
750136642
oct17635753
97715573
104144107
112380590
12147a263
13b21346
1479c359
1556cd3c
hex3f3beb

4144107 has 32 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 2309120.

The previous prime is 4144099. The next prime is 4144121. The reversal of 4144107 is 7014414.

It is not a de Polignac number, because 4144107 - 23 = 4144099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4144177) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46519 + ... + 46607.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 24144107 is an apocalyptic number.

4144107 is a deficient number, since it is larger than the sum of its proper divisors (2387733).

4144107 is a wasteful number, since it uses less digits than its factorization.

4144107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4144107 is about 2035.7079849527. The cubic root of 4144107 is about 160.6239568031.

The spelling of 4144107 in words is "four million, one hundred forty-four thousand, one hundred seven".

Divisors: 1 3 11 17 33 51 83 89 187 249 267 561 913 979 1411 1513 2739 2937 4233 4539 7387 15521 16643 22161 46563 49929 81257 125579 243771 376737 1381369 4144107