Search a number
-
+
144300130310420 = 22572794237343987
BaseRepresentation
bin100000110011110101111110…
…000000100001100100010100
3200220220221212012001201120022
4200303311332000201210110
5122403203131324413140
61230522321551124312
742252224514610400
oct4063657600414424
9626827765051508
10144300130310420
1141a84383733277
12142263b9813698
1362695a0331896
14278c240bb0100
1511a389e2e60b5
hex833d7e021914

144300130310420 has 144 divisors (see below), whose sum is σ = 356983227498240. Its totient is φ = 48845809748736.

The previous prime is 144300130310419. The next prime is 144300130310437. The reversal of 144300130310420 is 24013031003441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144300130310420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3280495667 + ... + 3280539653.

It is an arithmetic number, because the mean of its divisors is an integer number (2479050190960).

Almost surely, 2144300130310420 is an apocalyptic number.

144300130310420 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 144300130310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178491613749120).

144300130310420 is an abundant number, since it is smaller than the sum of its proper divisors (212683097187820).

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

144300130310420 is a wasteful number, since it uses less digits than its factorization.

144300130310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86462 (or 86453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 144300130310420 its reverse (24013031003441), we get a palindrome (168313161313861).

The spelling of 144300130310420 in words is "one hundred forty-four trillion, three hundred billion, one hundred thirty million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 245 316 395 490 553 790 980 1106 1580 2212 2765 3871 5530 7742 11060 15484 19355 38710 42373 43987 77420 84746 87974 169492 175948 211865 219935 296611 307909 423730 439870 593222 615818 847460 879740 1186444 1231636 1483055 1539545 2076277 2155363 2966110 3079090 3347467 3474973 4152554 4310726 5932220 6158180 6694934 6949946 8305108 8621452 10381385 10776815 13389868 13899892 16737335 17374865 20762770 21553630 23432269 24324811 33474670 34749730 41525540 43107260 46864538 48649622 66949340 69499460 93729076 97299244 117161345 121624055 164025883 170273677 234322690 243248110 328051766 340547354 468645380 486496220 656103532 681094708 820129415 851368385 1640258830 1702736770 1863861151 3280517660 3405473540 3727722302 7455444604 9319305755 13047028057 18638611510 26094056114 37277223020 52188112228 65235140285 91329196399 130470280570 147245030929 182658392798 260940561140 294490061858 365316785596 456645981995 588980123716 736225154645 913291963990 1030715216503 1472450309290 1826583927980 2061430433006 2944900618580 4122860866012 5153576082515 7215006515521 10307152165030 14430013031042 20614304330060 28860026062084 36075032577605 72150065155210 144300130310420