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1445132314332 = 2232717827407899
BaseRepresentation
bin10101000001111000100…
…110010010011011011100
312010011010202101220200100
4111001320212102123130
5142134112333024312
63023515024501100
7206256503665260
oct25017046223334
95104122356610
101445132314332
11507971576023
121b40aba7a790
13a6377064005
144dd3267c0a0
15278d04d75dc
hex150789926dc

1445132314332 has 144 divisors (see below), whose sum is σ = 4425760684800. Its totient is φ = 388136157696.

The previous prime is 1445132314331. The next prime is 1445132314387. The reversal of 1445132314332 is 2334132315441.

1445132314332 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 1 + 3 + 2 + 314 + 332 = 666.

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 (1445132314331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3338919 + ... + 3746817.

It is an arithmetic number, because the mean of its divisors is an integer number (30734449200).

Almost surely, 21445132314332 is an apocalyptic number.

1445132314332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445132314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212880342400).

1445132314332 is an abundant number, since it is smaller than the sum of its proper divisors (2980628370468).

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

1445132314332 is a wasteful number, since it uses less digits than its factorization.

1445132314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408760 (or 408755 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 1445132314332 its reverse (2334132315441), we get a palindrome (3779264629773).

The spelling of 1445132314332 in words is "one trillion, four hundred forty-five billion, one hundred thirty-two million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 827 1071 1428 1654 2142 2481 3308 4284 4962 5789 7443 9924 11578 14059 14886 17367 23156 28118 29772 34734 42177 52101 56236 69468 84354 98413 104202 126531 168708 196826 208404 253062 295239 393652 407899 506124 590478 815798 885717 1180956 1223697 1631596 1771434 2447394 2855293 3542868 3671091 4894788 5710586 6934283 7342182 8565879 11421172 13868566 14684364 17131758 20802849 25697637 27737132 34263516 41605698 48539981 51395274 62408547 83211396 97079962 102790548 124817094 145619943 194159924 249634188 291239886 337332473 436859829 582479772 674664946 873719658 1011997419 1349329892 1747439316 2023994838 2361327311 3035992257 4047989676 4722654622 5734652041 6071984514 7083981933 9445309244 11469304082 12143969028 14167963866 17203956123 21251945799 22938608164 28335927732 34407912246 40142564287 42503891598 51611868369 68815824492 80285128574 85007783196 103223736738 120427692861 160570257148 206447473476 240855385722 361283078583 481710771444 722566157166 1445132314332