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14463141 = 37111729127
BaseRepresentation
bin110111001011…
…000010100101
31000012210200220
4313023002211
512200310031
61233554553
7233635410
oct67130245
930183626
1014463141
118189410
124a15a59
132cc5194
141cc6b77
15140a596
hexdcb0a5

14463141 has 64 divisors (see below), whose sum is σ = 26542080. Its totient is φ = 6773760.

The previous prime is 14463139. The next prime is 14463173. The reversal of 14463141 is 14136441.

14463141 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14463141 - 21 = 14463139 is a prime.

14463141 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14463131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113820 + ... + 113946.

It is an arithmetic number, because the mean of its divisors is an integer number (414720).

Almost surely, 214463141 is an apocalyptic number.

14463141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14463141 is a deficient number, since it is larger than the sum of its proper divisors (12078939).

14463141 is a wasteful number, since it uses less digits than its factorization.

14463141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194.

The product of its digits is 1152, while the sum is 24.

The square root of 14463141 is about 3803.0436494997. The cubic root of 14463141 is about 243.6431505388.

Adding to 14463141 its reverse (14136441), we get a palindrome (28599582).

The spelling of 14463141 in words is "fourteen million, four hundred sixty-three thousand, one hundred forty-one".

Divisors: 1 3 7 11 17 21 29 33 51 77 87 119 127 187 203 231 319 357 381 493 561 609 889 957 1309 1397 1479 2159 2233 2667 3451 3683 3927 4191 5423 6477 6699 9779 10353 11049 15113 16269 23749 25781 29337 37961 40513 45339 62611 71247 77343 113883 121539 166243 187833 283591 438277 498729 688721 850773 1314831 2066163 4821047 14463141