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14441450100 = 22352711625171
BaseRepresentation
bin11010111001100011…
…10000101001110100
31101021110010200021020
431130301300221310
5214034002400400
610345002221140
71020605205030
oct153461605164
941243120236
1014441450100
116140905230
1229704b47b0
131491c0405c
149add8b1c0
15597c832a0
hex35cc70a74

14441450100 has 144 divisors (see below), whose sum is σ = 52094332416. Its totient is φ = 3000816000.

The previous prime is 14441450081. The next prime is 14441450117. The reversal of 14441450100 is 105414441.

14441450100 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289486 + ... + 335685.

Almost surely, 214441450100 is an apocalyptic number.

14441450100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441450100 is an abundant number, since it is smaller than the sum of its proper divisors (37652882316).

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

14441450100 is a wasteful number, since it uses less digits than its factorization.

14441450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625206 (or 625199 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 14441450100 its reverse (105414441), we get a palindrome (14546864541).

The spelling of 14441450100 in words is "fourteen billion, four hundred forty-one million, four hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 625171 1250342 1875513 2500684 3125855 3751026 4376197 6251710 6876881 7502052 8752394 9377565 12503420 13128591 13753762 15629275 17504788 18755130 20630643 21880985 26257182 27507524 31258550 34384405 37510260 41261286 43761970 46887825 48138167 52514364 62517100 65642955 68768810 82522572 87523940 93775650 96276334 103153215 109404925 131285910 137537620 144414501 171922025 187551300 192552668 206306430 218809850 240690835 262571820 288829002 328214775 343844050 412612860 437619700 481381670 515766075 577658004 656429550 687688100 722072505 962763340 1031532150 1203454175 1312859100 1444145010 2063064300 2406908350 2888290020 3610362525 4813816700 7220725050 14441450100