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144642013060342 = 2726746158518167
BaseRepresentation
bin100000111000110100010111…
…110011101101110011110110
3200222010122022120202220011111
4200320310113303231303312
5122424303320320412332
61231343342401025234
742316016631206500
oct4070642763556366
9628118276686144
10144642013060342
11420a6373621486
121428071162521a
1362928b62b6a45
1427a09d4576d70
1511ac70d8dd947
hex838d17cedcf6

144642013060342 has 96 divisors (see below), whose sum is σ = 256783459274496. Its totient is φ = 60913885032000.

The previous prime is 144642013060331. The next prime is 144642013060357. The reversal of 144642013060342 is 243060310246441.

It is a junction number, because it is equal to n+sod(n) for n = 144642013060295 and 144642013060304.

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, 17710539943 + ... + 17710548109.

It is an arithmetic number, because the mean of its divisors is an integer number (2674827700776).

Almost surely, 2144642013060342 is an apocalyptic number.

144642013060342 is a deficient number, since it is larger than the sum of its proper divisors (112141446214154).

144642013060342 is a wasteful number, since it uses less digits than its factorization.

144642013060342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562 (or 14555 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 144642013060342 in words is "one hundred forty-four trillion, six hundred forty-two billion, thirteen million, sixty thousand, three hundred forty-two".

Divisors: 1 2 7 14 49 67 98 134 461 469 922 938 3227 3283 5851 6454 6566 8167 11702 16334 22589 30887 40957 45178 57169 61774 81914 114338 216209 286699 392017 400183 432418 547189 573398 784034 800366 1094378 1513463 2697311 2744119 3026926 3764987 3830323 5394622 5488238 7529974 7660646 18881177 19208833 26354909 26812261 37762354 38417666 47785117 52709818 53624522 95570234 132168239 180719837 184484363 252254129 264336478 334495819 361439674 368968726 504508258 668991638 1265038859 1765778903 2341470733 2530077718 3201602839 3531557806 4682941466 6403205678 8855272013 12360452321 17710544026 22028938937 22411219873 24720904642 44057877874 44822439746 154202572559 156878539111 308405145118 313757078222 1079418007913 1475938908779 2158836015826 2951877817558 10331572361453 20663144722906 72321006530171 144642013060342