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144033432311214 = 23312508312132411
BaseRepresentation
bin100000101111111101100101…
…100100011001010110101110
3200212222110110112201121202000
4200233331211210121112232
5122334320432132424324
61230200013443313130
742224033503201245
oct4057754544312656
9625873415647660
10144033432311214
1141991265661086
12141a278907b7a6
13624a3a99cacb4
14277d38085395c
15119b9905ab9c9
hex82ff659195ae

144033432311214 has 32 divisors (see below), whose sum is σ = 320074700014080. Its totient is φ = 48011083205400.

The previous prime is 144033432311191. The next prime is 144033432311243. The reversal of 144033432311214 is 412113234330441.

144033432311214 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 3 + 3 + 432 + 3 + 1 + 1 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66478669 + ... + 68611079.

It is an arithmetic number, because the mean of its divisors is an integer number (10002334375440).

Almost surely, 2144033432311214 is an apocalyptic number.

144033432311214 is an abundant number, since it is smaller than the sum of its proper divisors (176041267702866).

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

144033432311214 is a wasteful number, since it uses less digits than its factorization.

144033432311214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383253 (or 3383247 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 144033432311214 its reverse (412113234330441), we get a palindrome (556146666641655).

The spelling of 144033432311214 in words is "one hundred forty-four trillion, thirty-three billion, four hundred thirty-two million, three hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 1250831 2132411 2501662 3752493 4264822 6397233 7504986 11257479 12794466 19191699 22514958 33772437 38383398 57575097 67544874 115150194 2667285783541 5334571567082 8001857350623 16003714701246 24005572051869 48011144103738 72016716155607 144033432311214