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144243882450 = 232522313936607
BaseRepresentation
bin1000011001010110011…
…0101111100111010010
3111210022121022110000200
42012111212233213102
54330402413214300
6150133103000030
713264332525303
oct2062546574722
9453277273020
10144243882450
115619aa02908
1223b56b99016
13107a9b93745
146da51087aa
153b435bd200
hex21959af9d2

144243882450 has 72 divisors (see below), whose sum is σ = 404384617728. Its totient is φ = 36792639840.

The previous prime is 144243882401. The next prime is 144243882457. The reversal of 144243882450 is 54288342441.

144243882450 is a `hidden beast` number, since 1 + 4 + 4 + 24 + 388 + 245 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 144243882396 and 144243882405.

It is not an unprimeable number, because it can be changed into a prime (144243882457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6957954 + ... + 6978653.

It is an arithmetic number, because the mean of its divisors is an integer number (5616453024).

Almost surely, 2144243882450 is an apocalyptic number.

144243882450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144243882450 is an abundant number, since it is smaller than the sum of its proper divisors (260140735278).

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

144243882450 is a wasteful number, since it uses less digits than its factorization.

144243882450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13936648 (or 13936640 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 144243882450 in words is "one hundred forty-four billion, two hundred forty-three million, eight hundred eighty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 10350 13936607 27873214 41809821 69683035 83619642 125429463 139366070 209049105 250858926 320541961 348415175 418098210 627147315 641083922 696830350 961625883 1045245525 1254294630 1602709805 1923251766 2090491050 2884877649 3135736575 3205419610 4808129415 5769755298 6271473150 8013549025 9616258830 14424388245 16027098050 24040647075 28848776490 48081294150 72121941225 144243882450