Search a number
-
+
144030153442160 = 2454183529055809
BaseRepresentation
bin100000101111111010100010…
…001000100000001101110000
3200212222011000000221210222102
4200233322202020200031300
5122334242223240122120
61230154312233555532
742223556320235246
oct4057724210401560
9625864000853872
10144030153442160
114198a93283a247
12141a2012b75ba8
136249ca6606aab
14277d14d1b8796
15119b84c7ced75
hex82fea2220370

144030153442160 has 80 divisors (see below), whose sum is σ = 347170654968480. Its totient is φ = 55529697607680.

The previous prime is 144030153442117. The next prime is 144030153442171. The reversal of 144030153442160 is 61244351030441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264255665 + ... + 264800144.

It is an arithmetic number, because the mean of its divisors is an integer number (4339633187106).

Almost surely, 2144030153442160 is an apocalyptic number.

144030153442160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144030153442160 is an abundant number, since it is smaller than the sum of its proper divisors (203140501526320).

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

144030153442160 is a wasteful number, since it uses less digits than its factorization.

144030153442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529055946 (or 529055940 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 144030153442160 in words is "one hundred forty-four trillion, thirty billion, one hundred fifty-three million, four hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 83 164 166 205 328 332 410 415 656 664 820 830 1328 1640 1660 3280 3320 3403 6640 6806 13612 17015 27224 34030 54448 68060 136120 272240 529055809 1058111618 2116223236 2645279045 4232446472 5290558090 8464892944 10581116180 21162232360 21691288169 42324464720 43382576338 43911632147 86765152676 87823264294 108456440845 173530305352 175646528588 216912881690 219558160735 347060610704 351293057176 433825763380 439116321470 702586114352 867651526760 878232642940 1735303053520 1756465285880 1800376918027 3512930571760 3600753836054 7201507672108 9001884590135 14403015344216 18003769180270 28806030688432 36007538360540 72015076721080 144030153442160