Search a number
-
+
142341100000110 = 232511143778888889
BaseRepresentation
bin100000010111010101011110…
…101100111101001101101110
3200122222200020222220202021200
4200113111132230331031232
5122124104033100000420
61222422333144510330
741660543102663634
oct4027253654751556
9618880228822250
10142341100000110
1141399581141770
1213b6a7aa47b3a6
136156928a0695b
1427214bb5c9354
15116c942ee5b90
hex81755eb3d36e

142341100000110 has 48 divisors (see below), whose sum is σ = 403731120003120. Its totient is φ = 34506933333120.

The previous prime is 142341100000031. The next prime is 142341100000117. The reversal of 142341100000110 is 11000001143241.

142341100000110 is a `hidden beast` number, since 142 + 3 + 411 + 0 + 0 + 0 + 0 + 0 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142341100000117) 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, 71889443455 + ... + 71889445434.

It is an arithmetic number, because the mean of its divisors is an integer number (8411065000065).

Almost surely, 2142341100000110 is an apocalyptic number.

142341100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142341100000110 is an abundant number, since it is smaller than the sum of its proper divisors (261390020003010).

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

142341100000110 is a wasteful number, since it uses less digits than its factorization.

142341100000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143778888913 (or 143778888910 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 142341100000110 its reverse (11000001143241), we get a palindrome (153341101143351).

The spelling of 142341100000110 in words is "one hundred forty-two trillion, three hundred forty-one billion, one hundred million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 143778888889 287557777778 431336666667 718894444445 862673333334 1294010000001 1437788888890 1581567777779 2156683333335 2588020000002 3163135555558 4313366666670 4744703333337 6470050000005 7907838888895 9489406666674 12940100000010 14234110000011 15815677777790 23723516666685 28468220000022 47447033333370 71170550000055 142341100000110