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144220335350200 = 235219229165732401
BaseRepresentation
bin100000110010101011101001…
…110110111010000110111000
3200220122022220010202202021021
4200302223221312322012320
5122400401221322201300
61230421524000152224
742243401232623404
oct4062535166720670
9626568803682237
10144220335350200
1141a5355654165a
1214212a4a608674
136261bc4829ca5
14278843136a104
1511a177dd29d1a
hex832ae9dba1b8

144220335350200 has 96 divisors (see below), whose sum is σ = 354501607878000. Its totient is φ = 54413261568000.

The previous prime is 144220335350191. The next prime is 144220335350213. The reversal of 144220335350200 is 2053533022441.

144220335350200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81996001 + ... + 83736400.

Almost surely, 2144220335350200 is an apocalyptic number.

144220335350200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144220335350200 is an abundant number, since it is smaller than the sum of its proper divisors (210281272527800).

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

144220335350200 is a wasteful number, since it uses less digits than its factorization.

144220335350200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165732665 (or 165732656 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 144220335350200 its reverse (2053533022441), we get a palindrome (146273868372641).

The spelling of 144220335350200 in words is "one hundred forty-four trillion, two hundred twenty billion, three hundred thirty-five million, three hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 229 380 458 475 760 916 950 1145 1832 1900 2290 3800 4351 4580 5725 8702 9160 11450 17404 21755 22900 34808 43510 45800 87020 108775 174040 217550 435100 870200 165732401 331464802 662929604 828662005 1325859208 1657324010 3148915619 3314648020 4143310025 6297831238 6629296040 8286620050 12595662476 15744578095 16573240100 25191324952 31489156190 33146480200 37952719829 62978312380 75905439658 78722890475 125956624760 151810879316 157445780950 189763599145 303621758632 314891561900 379527198290 629783123800 721101676751 759054396580 948817995725 1442203353502 1518108793160 1897635991450 2884406707004 3605508383755 3795271982900 5768813414008 7211016767510 7590543965800 14422033535020 18027541918775 28844067070040 36055083837550 72110167675100 144220335350200