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144044042042320 = 24573715227456553
BaseRepresentation
bin100000110000000111011101…
…111101010011101111010000
3200220000110211221210210200221
4200300013131331103233100
5122340004144230323240
61230204530330522424
742224560433342020
oct4060073575235720
9626013757723627
10144044042042320
114199580a5700a2
12141a484a296414
13624b3aab103b4
14277daa9973a80
15119bdb1c5aa4a
hex8301ddf53bd0

144044042042320 has 160 divisors (see below), whose sum is σ = 393116749417728. Its totient is φ = 48048496717824.

The previous prime is 144044042042287. The next prime is 144044042042359. The reversal of 144044042042320 is 23240240440441.

144044042042320 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 31 ways as a sum of consecutive naturals, for example, 315275164 + ... + 315731716.

Almost surely, 2144044042042320 is an apocalyptic number.

144044042042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144044042042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196558374708864).

144044042042320 is an abundant number, since it is smaller than the sum of its proper divisors (249072707375408).

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

144044042042320 is a wasteful number, since it uses less digits than its factorization.

144044042042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471837 (or 471831 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 144044042042320 its reverse (23240240440441), we get a palindrome (167284282482761).

The spelling of 144044042042320 in words is "one hundred forty-four trillion, forty-four billion, forty-two million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 4144 5180 10360 15227 20720 30454 60908 76135 106589 121816 152270 213178 243632 304540 426356 456553 532945 563399 609080 852712 913106 1065890 1126798 1218160 1705424 1826212 2131780 2253596 2282765 2816995 3195871 3652424 3943793 4263560 4507192 4565530 5633990 6391742 7304848 7887586 8527120 9014384 9131060 11267980 12783484 15775172 15979355 16892461 18262120 19718965 22535960 25566968 31550344 31958710 33784922 36524240 39437930 45071920 51133936 63100688 63917420 67569844 78875860 84462305 118247227 127834840 135139688 157751720 168924610 236494454 255669680 270279376 315503440 337849220 472988908 591236135 675698440 945977816 1182472270 1351396880 1891955632 2364944540 4729889080 6951932531 9459778160 13903865062 27807730124 34759662655 48663527717 55615460248 69519325310 97327055434 111230920496 139038650620 194654110868 243317638585 257221503647 278077301240 389308221736 486635277170 514443007294 556154602480 778616443472 973270554340 1028886014588 1286107518235 1800550525529 1946541108680 2057772029176 2572215036470 3601101051058 3893082217360 4115544058352 5144430072940 7202202102116 9002752627645 10288860145880 14404404204232 18005505255290 20577720291760 28808808408464 36011010510580 72022021021160 144044042042320