Search a number
-
+
14100141 = 311479091
BaseRepresentation
bin110101110010…
…011010101101
3222112100202110
4311302122231
512102201031
61222114233
7230564166
oct65623255
928470673
1014100141
117a60710
12487b979
132bc8ba3
141c3076d
151387c46
hexd726ad

14100141 has 16 divisors (see below), whose sum is σ = 20947968. Its totient is φ = 8362800.

The previous prime is 14100137. The next prime is 14100143.

14100141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14100141 - 22 = 14100137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2995 + ... + 6096.

It is an arithmetic number, because the mean of its divisors is an integer number (1309248).

Almost surely, 214100141 is an apocalyptic number.

14100141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14100141 is a deficient number, since it is larger than the sum of its proper divisors (6847827).

14100141 is a wasteful number, since it uses less digits than its factorization.

14100141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9152.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 14100141 is about 3755.0154460401. The cubic root of 14100141 is about 241.5875142024.

It can be divided in two parts, 14100 and 141, that multiplied together give a square (1988100 = 14102).

The spelling of 14100141 in words is "fourteen million, one hundred thousand, one hundred forty-one".

Divisors: 1 3 11 33 47 141 517 1551 9091 27273 100001 300003 427277 1281831 4700047 14100141