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12144452454000 = 243253674691803
BaseRepresentation
bin1011000010111001100111…
…0001100100011001110000
31120222222221202212002012100
42300232121301210121300
53042433314312012000
641455030123300400
72362256565425166
oct260563161443160
946888852762170
1012144452454000
113962484894599
12144181467a700
136a12a884bc39
142ddb1a69b236
15160d8998ca00
hexb0b99c64670

12144452454000 has 120 divisors (see below), whose sum is σ = 42416524333872. Its totient is φ = 3238520649600.

The previous prime is 12144452453983. The next prime is 12144452454007. The reversal of 12144452454000 is 45425444121.

12144452454000 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 4 + 5 + 245 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144452454007) 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, 337327902 + ... + 337363901.

Almost surely, 212144452454000 is an apocalyptic number.

12144452454000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144452454000 is an abundant number, since it is smaller than the sum of its proper divisors (30272071879872).

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

12144452454000 is a wasteful number, since it uses less digits than its factorization.

12144452454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674691832 (or 674691813 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 12144452454000 its reverse (45425444121), we get a palindrome (12189877898121).

The spelling of 12144452454000 in words is "twelve trillion, one hundred forty-four billion, four hundred fifty-two million, four hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 674691803 1349383606 2024075409 2698767212 3373459015 4048150818 5397534424 6072226227 6746918030 8096301636 10120377045 10795068848 12144452454 13493836060 16192603272 16867295075 20240754090 24288904908 26987672120 30361131135 32385206544 33734590150 40481508180 48577809816 50601885225 53975344240 60722262270 67469180300 80963016360 84336475375 97155619632 101203770450 121444524540 134938360600 151805655675 161926032720 168672950750 202407540900 242889049080 253009426125 269876721200 303611311350 337345901500 404815081800 485778098160 506018852250 607222622700 674691803000 759028278375 809630163600 1012037704500 1214445245400 1349383606000 1518056556750 2024075409000 2428890490800 3036113113500 4048150818000 6072226227000 12144452454000