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14146944 = 273719277
BaseRepresentation
bin110101111101…
…110110000000
3222121201221220
4311331312000
512110200234
61223115040
7231150510
oct65756600
928551856
1014146944
117a92899
1248a2a80
132c14296
141c43840
151396a49
hexd7dd80

14146944 has 128 divisors (see below), whose sum is σ = 45369600. Its totient is φ = 3815424.

The previous prime is 14146931. The next prime is 14146967. The reversal of 14146944 is 44964141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50934 + ... + 51210.

It is an arithmetic number, because the mean of its divisors is an integer number (354450).

Almost surely, 214146944 is an apocalyptic number.

14146944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22684800).

14146944 is an abundant number, since it is smaller than the sum of its proper divisors (31222656).

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

14146944 is a wasteful number, since it uses less digits than its factorization.

14146944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 14146944 is about 3761.2423479483. The cubic root of 14146944 is about 241.8545217658.

The spelling of 14146944 in words is "fourteen million, one hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 277 304 336 384 399 448 456 532 554 608 672 798 831 896 912 1064 1108 1216 1344 1596 1662 1824 1939 2128 2216 2432 2688 3192 3324 3648 3878 4256 4432 5263 5817 6384 6648 7296 7756 8512 8864 10526 11634 12768 13296 15512 15789 17024 17728 21052 23268 25536 26592 31024 31578 35456 36841 42104 46536 51072 53184 62048 63156 73682 84208 93072 106368 110523 124096 126312 147364 168416 186144 221046 248192 252624 294728 336832 372288 442092 505248 589456 673664 744576 884184 1010496 1178912 1768368 2020992 2357824 3536736 4715648 7073472 14146944