Search a number
-
+
144342144110430 = 23257232730644923
BaseRepresentation
bin100000110100011101000110…
…001110011100111101011110
3200221001222022012102220100100
4200310131012032130331132
5122404400202343013210
61230553510544441530
742255242614200300
oct4064350616347536
9627058265386310
10144342144110430
1141aa01833a4042
12142325840192a6
136270537680886
1427902a89c9970
1511a4a0c9b95c0
hex83474639cf5e

144342144110430 has 72 divisors (see below), whose sum is σ = 436561341996312. Its totient is φ = 32992490081376.

The previous prime is 144342144110303. The next prime is 144342144110453. The reversal of 144342144110430 is 34011441243441.

144342144110430 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 4 + 214 + 4 + 1 + 1 + 0 + 430 = 666.

It is a super-2 number, since 2×1443421441104302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16365318052 + ... + 16365326871.

It is an arithmetic number, because the mean of its divisors is an integer number (6063351972171).

Almost surely, 2144342144110430 is an apocalyptic number.

144342144110430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144342144110430 is an abundant number, since it is smaller than the sum of its proper divisors (292219197885882).

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

144342144110430 is a wasteful number, since it uses less digits than its factorization.

144342144110430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32730644950 (or 32730644940 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144342144110430 its reverse (34011441243441), we get a palindrome (178353585353871).

The spelling of 144342144110430 in words is "one hundred forty-four trillion, three hundred forty-two billion, one hundred forty-four million, one hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 32730644923 65461289846 98191934769 163653224615 196383869538 229114514461 294575804307 327306449230 458229028922 490959673845 589151608614 687343543383 981919347690 1145572572305 1374687086766 1472879021535 1603801601227 2062030630149 2291145144610 2945758043070 3207603202454 3436717716915 4124061260298 4811404803681 6873435433830 8019008006135 9622809607362 10310153150745 14434214411043 16038016012270 20620306301490 24057024018405 28868428822086 48114048036810 72171072055215 144342144110430