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144302203414422 = 23331678631490843
BaseRepresentation
bin100000110011110111111001…
…100100110010011110010110
3200220221011012122222022122000
4200303313321210302132112
5122403221403033230142
61230523303405020130
742252330056654364
oct4063677144623626
9626834178868560
10144302203414422
1141a85247970a69
1214226897b54646
136269840993541
14278c39a258634
1511a39712e914c
hex833df9932796

144302203414422 has 128 divisors (see below), whose sum is σ = 336345856081920. Its totient is φ = 45801170854560.

The previous prime is 144302203414357. The next prime is 144302203414433. The reversal of 144302203414422 is 224414302203441.

144302203414422 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 0 + 2 + 203 + 4 + 1 + 442 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96046933 + ... + 97537775.

It is an arithmetic number, because the mean of its divisors is an integer number (2627702000640).

Almost surely, 2144302203414422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144302203414422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168172928040960).

144302203414422 is an abundant number, since it is smaller than the sum of its proper divisors (192043652667498).

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

144302203414422 is a wasteful number, since it uses less digits than its factorization.

144302203414422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491815 (or 1491809 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144302203414422 its reverse (224414302203441), we get a palindrome (368716505617863).

The spelling of 144302203414422 in words is "one hundred forty-four trillion, three hundred two billion, two hundred three million, four hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 67 93 134 186 201 279 402 558 603 837 863 1206 1674 1726 1809 2077 2589 3618 4154 5178 6231 7767 12462 15534 18693 23301 26753 37386 46602 53506 56079 57821 80259 112158 115642 160518 173463 240777 346926 481554 520389 722331 1040778 1444662 1490843 1561167 1792451 2981686 3122334 3584902 4472529 5377353 8945058 10754706 13417587 16132059 26835174 32264118 40252761 46216133 48396177 80505522 92432266 96792354 99886481 138648399 199772962 277296798 299659443 415945197 599318886 831890394 898978329 1247835591 1286597509 1797956658 2495671182 2573195018 2696934987 3096480911 3859792527 5393869974 6192961822 7719585054 9289442733 11579377581 18578885466 23158755162 27868328199 34738132743 39884522779 55736656398 69476265486 79769045558 83604984597 86202033103 119653568337 167209969194 172404066206 239307136674 258606099309 358960705011 517212198618 717921410022 775818297927 1076882115033 1551636595854 2153764230066 2327454893781 2672263026193 4654909787562 5344526052386 8016789078579 16033578157158 24050367235737 48100734471474 72151101707211 144302203414422