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542243410235010 = 2325112200324859103
BaseRepresentation
bin111101101001010101110000…
…1110110010100111010000010
32122002220222000120122121200100
41323102223201312110322002
51032033104001010010020
65201131103405103230
7222133536124420431
oct17322534166247202
92562828016577610
10542243410235010
11147859158903a00
12509964a4b57b16
131a374446261873
1497c8a14947118
1542a4edeb2da90
hex1ed2ae1d94e82

542243410235010 has 144 divisors (see below), whose sum is σ = 1550424729514752. Its totient is φ = 131387314618560.

The previous prime is 542243410234973. The next prime is 542243410235071. The reversal of 542243410235010 is 10532014342245.

It is a happy number.

542243410235010 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 4 + 3 + 410 + 235 + 0 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9383119 + ... + 34242221.

It is an arithmetic number, because the mean of its divisors is an integer number (10766838399408).

Almost surely, 2542243410235010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542243410235010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775212364757376).

542243410235010 is an abundant number, since it is smaller than the sum of its proper divisors (1008181319279742).

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

542243410235010 is a wasteful number, since it uses less digits than its factorization.

542243410235010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24861141 (or 24861127 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 542243410235010 its reverse (10532014342245), we get a palindrome (552775424577255).

The spelling of 542243410235010 in words is "five hundred forty-two trillion, two hundred forty-three billion, four hundred ten million, two hundred thirty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2003 2178 3630 4006 5445 6009 10015 10890 12018 18027 20030 22033 30045 36054 44066 60090 66099 90135 110165 132198 180270 198297 220330 242363 330495 396594 484726 660990 727089 991485 1211815 1454178 1982970 2181267 2423630 3635445 4362534 7270890 10906335 21812670 24859103 49718206 74577309 124295515 149154618 223731927 248591030 273450133 372886545 447463854 546900266 745773090 820350399 1118659635 1367250665 1640700798 2237319270 2461051197 2734501330 3007951463 4101751995 4922102394 6015902926 8203503990 9023854389 12305255985 15039757315 18047708778 24610511970 27071563167 30079514630 45119271945 49792783309 54143126334 90238543890 99585566618 135357815835 149378349927 248963916545 270715631670 298756699854 448135049781 497927833090 547720616399 746891749635 896270099562 1095441232798 1493783499270 1643161849197 2240675248905 2738603081995 3286323698394 4481350497810 4929485547591 5477206163990 6024926780389 8215809245985 9858971095182 12049853560778 16431618491970 18074780341167 24647427737955 30124633901945 36149560682334 49294855475910 54224341023501 60249267803890 90373901705835 108448682047002 180747803411670 271121705117505 542243410235010