Search a number
-
+
141007005 = 32513812269
BaseRepresentation
bin10000110011110…
…01100010011101
3100211022220020200
420121321202131
5242044211010
621554134113
73331353066
oct1031714235
9324286220
10141007005
117265a717
123b281339
13232a07c9
1414a2756d
15c5a4cc0
hex867989d

141007005 has 24 divisors (see below), whose sum is σ = 244696920. Its totient is φ = 75116160.

The previous prime is 141007001. The next prime is 141007007. The reversal of 141007005 is 500700141.

141007005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15129 + 140991876 = 123^2 + 11874^2 .

It is not a de Polignac number, because 141007005 - 22 = 141007001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141007001) 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, 61011 + ... + 63279.

It is an arithmetic number, because the mean of its divisors is an integer number (10195705).

Almost surely, 2141007005 is an apocalyptic number.

141007005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141007005 is a deficient number, since it is larger than the sum of its proper divisors (103689915).

141007005 is a wasteful number, since it uses less digits than its factorization.

141007005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 141007005 is about 11874.6370470848. The cubic root of 141007005 is about 520.4914055393.

Adding to 141007005 its reverse (500700141), we get a palindrome (641707146).

It can be divided in two parts, 14100700 and 5, that added together give a triangular number (14100705 = T5310).

The spelling of 141007005 in words is "one hundred forty-one million, seven thousand, five".

Divisors: 1 3 5 9 15 45 1381 2269 4143 6807 6905 11345 12429 20421 20715 34035 62145 102105 3133489 9400467 15667445 28201401 47002335 141007005