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144300130343240 = 23529242831001527
BaseRepresentation
bin100000110011110101111110…
…000000101001100101001000
3200220220221212012010101120212
4200303311332000221211020
5122403203131331440430
61230522321551540252
742252224515105154
oct4063657600514510
9626827765111525
10144300130343240
1141a843837559a3
12142263b982a688
1362695a03437c1
14278c240bbc064
1511a389e300b95
hex833d7e029948

144300130343240 has 96 divisors (see below), whose sum is σ = 336335897177280. Its totient is φ = 55716638041344.

The previous prime is 144300130343141. The next prime is 144300130343251. The reversal of 144300130343240 is 42343031003441.

It is a junction number, because it is equal to n+sod(n) for n = 144300130343197 and 144300130343206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143579357 + ... + 144580883.

It is an arithmetic number, because the mean of its divisors is an integer number (3503498928930).

Almost surely, 2144300130343240 is an apocalyptic number.

144300130343240 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 144300130343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168167948588640).

144300130343240 is an abundant number, since it is smaller than the sum of its proper divisors (192035766834040).

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

144300130343240 is a wasteful number, since it uses less digits than its factorization.

144300130343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005879 (or 1005846 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 144300130343240 its reverse (42343031003441), we get a palindrome (186643161346681).

The spelling of 144300130343240 in words is "one hundred forty-four trillion, three hundred billion, one hundred thirty million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 4283 6728 8410 8566 16820 17132 21415 33640 34264 42830 85660 124207 171320 248414 496828 621035 993656 1001527 1242070 2003054 2484140 3602003 4006108 4968280 5007635 7204006 8012216 10015270 14408012 18010015 20030540 28816024 29044283 36020030 40061080 58088566 72040060 116177132 144080120 145221415 232354264 290442830 580885660 842284207 1161771320 1684568414 3369136828 4211421035 4289540141 6738273656 8422842070 8579080282 16845684140 17158160564 21447700705 33691368280 34316321128 42895401410 85790802820 124396664089 171581605640 248793328178 497586656356 621983320445 995173312712 1243966640890 2487933281780 3607503258581 4975866563560 7215006517162 14430013034324 18037516292905 28860026068648 36075032585810 72150065171620 144300130343240