Search a number
-
+
142412000291 = 11711271435793
BaseRepresentation
bin1000010010100001101…
…0101010110000100011
3111121120221022012010022
42010220122222300203
54313124433002131
6145231223224055
713201050013061
oct2045032526043
9447527265108
10142412000291
115543a952710
12237255a802b
13105774bcac2
146c6dad3031
153a8786837b
hex21286aac23

142412000291 has 16 divisors (see below), whose sum is σ = 158787330048. Its totient is φ = 126636854400.

The previous prime is 142412000267. The next prime is 142412000321. The reversal of 142412000291 is 192000214241.

It is a cyclic number.

It is not a de Polignac number, because 142412000291 - 222 = 142407805987 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 142412000291.

It is not an unprimeable number, because it can be changed into a prime (142412000191) 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, 618710 + ... + 817083.

It is an arithmetic number, because the mean of its divisors is an integer number (9924208128).

Almost surely, 2142412000291 is an apocalyptic number.

142412000291 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142412000291 is the 201716-th centered heptagonal number.

142412000291 is a deficient number, since it is larger than the sum of its proper divisors (16375329757).

142412000291 is a wasteful number, since it uses less digits than its factorization.

142412000291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436002.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 142412000291 in words is "one hundred forty-two billion, four hundred twelve million, two hundred ninety-one", and thus it is an aban number.

Divisors: 1 11 71 127 781 1397 9017 99187 1435793 15793723 101941303 182345711 1121354333 2005802821 12946545481 142412000291