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140424341313200 = 24527379313222133
BaseRepresentation
bin11111111011011100010110…
…111110110101011010110000
3200102012102202210021201222112
4133323130112332311122300
5121401203022334010300
61214354015110024452
741402216040654560
oct3773342676653260
9612172683251875
10140424341313200
114081a6a08a850a
12138bb217948128
136047c5cc7c339
142696808174da0
151137b5cd45e35
hex7fb716fb56b0

140424341313200 has 120 divisors (see below), whose sum is σ = 385666800932448. Its totient is φ = 48132791562240.

The previous prime is 140424341313199. The next prime is 140424341313209. The reversal of 140424341313200 is 2313143424041.

It is not an unprimeable number, because it can be changed into a prime (140424341313209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4009334 + ... + 17231466.

Almost surely, 2140424341313200 is an apocalyptic number.

140424341313200 is a gapful number since it is divisible by the number (10) 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 140424341313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192833400466224).

140424341313200 is an abundant number, since it is smaller than the sum of its proper divisors (245242459619248).

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

140424341313200 is a wasteful number, since it uses less digits than its factorization.

140424341313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13225951 (or 13225940 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 140424341313200 its reverse (2313143424041), we get a palindrome (142737484737241).

The spelling of 140424341313200 in words is "one hundred forty trillion, four hundred twenty-four billion, three hundred forty-one million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 3793 7586 15172 18965 26551 30344 37930 53102 60688 75860 94825 106204 132755 151720 189650 212408 265510 303440 379300 424816 531020 663775 758600 1062040 1327550 1517200 2124080 2655100 5310200 10620400 13222133 26444266 52888532 66110665 92554931 105777064 132221330 185109862 211554128 264442660 330553325 370219724 462774655 528885320 661106650 740439448 925549310 1057770640 1322213300 1480878896 1851098620 2313873275 2644426600 3702197240 4627746550 5288853200 7404394480 9255493100 18510986200 37021972400 50151550469 100303100938 200606201876 250757752345 351060853283 401212403752 501515504690 702121706566 802424807504 1003031009380 1253788761725 1404243413132 1755304266415 2006062018760 2507577523450 2808486826264 3510608532830 4012124037520 5015155046900 5616973652528 7021217065660 8776521332075 10030310093800 14042434131320 17553042664150 20060620187600 28084868262640 35106085328300 70212170656600 140424341313200