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144212004234 = 2351915617501
BaseRepresentation
bin1000011001001110110…
…1001000110110001010
3111210020101022212100000
42012103231020312022
54330321233113414
6150130003423430
713263464545014
oct2062355106612
9453211285300
10144212004234
1156183a0a281
1223b48384b76
13107a33b18ac
146da0bab1b4
153b408c2b09
hex2193b48d8a

144212004234 has 48 divisors (see below), whose sum is σ = 341086243680. Its totient is φ = 45540630000.

The previous prime is 144212004193. The next prime is 144212004239. The reversal of 144212004234 is 432400212441.

144212004234 is a `hidden beast` number, since 1 + 4 + 421 + 2 + 0 + 0 + 4 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144212004198 and 144212004207.

It is not an unprimeable number, because it can be changed into a prime (144212004239) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7799517 + ... + 7817984.

It is an arithmetic number, because the mean of its divisors is an integer number (7105963410).

Almost surely, 2144212004234 is an apocalyptic number.

144212004234 is an abundant number, since it is smaller than the sum of its proper divisors (196874239446).

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

144212004234 is a wasteful number, since it uses less digits than its factorization.

144212004234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15617537 (or 15617525 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144212004234 its reverse (432400212441), we get a palindrome (576612216675).

The spelling of 144212004234 in words is "one hundred forty-four billion, two hundred twelve million, four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 9234 15617501 31235002 46852503 93705006 140557509 281115018 296732519 421672527 593465038 843345054 890197557 1265017581 1780395114 2530035162 2670592671 3795052743 5341185342 7590105486 8011778013 16023556026 24035334039 48070668078 72106002117 144212004234