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242402423000 = 23533127728229
BaseRepresentation
bin1110000111000001001…
…1110111000011011000
3212011200102220221210112
43201300103313003120
512432420010014000
6303205205103452
723340646412333
oct3416023670330
9764612827715
10242402423000
11938909371a1
123ab900b7b88
1319b210281ba
14ba3777d61a
15648ad10235
hex38704f70d8

242402423000 has 128 divisors (see below), whose sum is σ = 587653747200. Its totient is φ = 93491136000.

The previous prime is 242402422991. The next prime is 242402423063. The reversal of 242402423000 is 324204242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8572886 + ... + 8601114.

It is an arithmetic number, because the mean of its divisors is an integer number (4591044900).

Almost surely, 2242402423000 is an apocalyptic number.

242402423000 is a gapful number since it is divisible by the number (20) 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 242402423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293826873600).

242402423000 is an abundant number, since it is smaller than the sum of its proper divisors (345251324200).

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

242402423000 is a wasteful number, since it uses less digits than its factorization.

242402423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28558 (or 28544 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 242402423000 its reverse (324204242), we get a palindrome (242726627242).

The spelling of 242402423000 in words is "two hundred forty-two billion, four hundred two million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 277 310 500 554 620 775 1000 1108 1240 1385 1550 2216 2770 3100 3875 5540 6200 6925 7750 8587 11080 13850 15500 17174 27700 28229 31000 34348 34625 42935 55400 56458 68696 69250 85870 112916 138500 141145 171740 214675 225832 277000 282290 343480 429350 564580 705725 858700 875099 1073375 1129160 1411450 1717400 1750198 2146750 2822900 3500396 3528625 4293500 4375495 5645800 7000792 7057250 7819433 8587000 8750990 14114500 15638866 17501980 21877475 28229000 31277732 35003960 39097165 43754950 62555464 78194330 87509900 109387375 156388660 175019800 195485825 218774750 242402423 312777320 390971650 437549500 484804846 781943300 875099000 969609692 977429125 1212012115 1563886600 1939219384 1954858250 2424024230 3909716500 4848048460 6060060575 7819433000 9696096920 12120121150 24240242300 30300302875 48480484600 60600605750 121201211500 242402423000