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42340314100 = 225271271732753
BaseRepresentation
bin100111011011101011…
…011110101111110100
311001021202202210220111
4213123223132233310
51143203110022400
631241215512404
73026142505660
oct473353365764
9131252683814
1042340314100
1116a58004727
128257828704
133cb9ba11c6
1420993318a0
15117c1bd3ba
hex9dbadebf4

42340314100 has 144 divisors (see below), whose sum is σ = 106481184768. Its totient is φ = 14313922560.

The previous prime is 42340314089. The next prime is 42340314101. The reversal of 42340314100 is 141304324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42340314101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15378324 + ... + 15381076.

It is an arithmetic number, because the mean of its divisors is an integer number (739452672).

Almost surely, 242340314100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42340314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53240592384).

42340314100 is an abundant number, since it is smaller than the sum of its proper divisors (64140870668).

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

42340314100 is a wasteful number, since it uses less digits than its factorization.

42340314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42340314100 its reverse (141304324), we get a palindrome (42481618424).

The spelling of 42340314100 in words is "forty-two billion, three hundred forty million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 127 140 173 175 254 346 350 508 635 692 700 865 889 1211 1270 1730 1778 2422 2540 2753 3175 3460 3556 4325 4445 4844 5506 6055 6350 8650 8890 11012 12110 12700 13765 17300 17780 19271 21971 22225 24220 27530 30275 38542 43942 44450 55060 60550 68825 77084 87884 88900 96355 109855 121100 137650 153797 192710 219710 275300 307594 349631 385420 439420 476269 481775 549275 615188 699262 768985 952538 963550 1098550 1398524 1537970 1748155 1905076 1927100 2197100 2381345 2447417 3075940 3333883 3496310 3844925 4762690 4894834 6667766 6992620 7689850 8740775 9525380 9789668 11906725 12237085 13335532 15379700 16669415 17481550 23813450 24474170 33338830 34963100 47626900 48948340 60486163 61185425 66677660 83347075 120972326 122370850 166694150 241944652 244741700 302430815 333388300 423403141 604861630 846806282 1209723260 1512154075 1693612564 2117015705 3024308150 4234031410 6048616300 8468062820 10585078525 21170157050 42340314100