Search a number
-
+
144034000323040 = 2552833317759443
BaseRepresentation
bin100000101111111110000111…
…011011001100000111100000
3200212222111221010112121111001
4200233332013123030013200
5122334323113040314130
61230200150054001344
742224053541211352
oct4057760733140740
9625874833477431
10144034000323040
1141991527250843
12141a2907346254
13624a46a5a6979
14277d3d60710d2
15119b9c53ab6ca
hex82ff876cc1e0

144034000323040 has 48 divisors (see below), whose sum is σ = 340400439903888. Its totient is φ = 57593263343616.

The previous prime is 144034000322977. The next prime is 144034000323119. The reversal of 144034000323040 is 40323000430441.

144034000323040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158426442 + ... + 159333001.

It is an arithmetic number, because the mean of its divisors is an integer number (7091675831331).

Almost surely, 2144034000323040 is an apocalyptic number.

144034000323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034000323040 is an abundant number, since it is smaller than the sum of its proper divisors (196366439580848).

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

144034000323040 is a wasteful number, since it uses less digits than its factorization.

144034000323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317762291 (or 317762283 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 144034000323040 its reverse (40323000430441), we get a palindrome (184357000753481).

The spelling of 144034000323040 in words is "one hundred forty-four trillion, thirty-four billion, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2833 5666 11332 14165 22664 28330 45328 56660 90656 113320 226640 453280 317759443 635518886 1271037772 1588797215 2542075544 3177594430 5084151088 6355188860 10168302176 12710377720 25420755440 50841510880 900212502019 1800425004038 3600850008076 4501062510095 7201700016152 9002125020190 14403400032304 18004250040380 28806800064608 36008500080760 72017000161520 144034000323040