Search a number
-
+
133032143432032 = 25131688991893373
BaseRepresentation
bin11110001111110111110101…
…101001110010100101100000
3122110000202012210211002120121
4132033313311221302211200
5114414044312204311112
61150534042322450024
740010153346502435
oct3617676551624540
9573022183732517
10133032143432032
113942a684910169
1212b0662b803914
13592cb53563a50
1424bcb0c053b8c
15105a710bac407
hex78fdf5a72960

133032143432032 has 48 divisors (see below), whose sum is σ = 282055546105200. Its totient is φ = 61399054858752.

The previous prime is 133032143431949. The next prime is 133032143432033. The reversal of 133032143432032 is 230234341230331.

It is a happy number.

133032143432032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1330321434320322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032143432033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69315298 + ... + 71208670.

It is an arithmetic number, because the mean of its divisors is an integer number (5876157210525).

Almost surely, 2133032143432032 is an apocalyptic number.

It is an amenable number.

133032143432032 is an abundant number, since it is smaller than the sum of its proper divisors (149023402673168).

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

133032143432032 is a wasteful number, since it uses less digits than its factorization.

133032143432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062295 (or 2062287 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 133032143432032 its reverse (230234341230331), we get a palindrome (363266484662363).

The spelling of 133032143432032 in words is "one hundred thirty-three trillion, thirty-two billion, one hundred forty-three million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 168899 337798 675596 1351192 1893373 2195687 2702384 3786746 4391374 5404768 7573492 8782748 15146984 17565496 24613849 30293968 35130992 49227698 60587936 70261984 98455396 196910792 393821584 787643168 319788806327 639577612654 1279155225308 2558310450616 4157254482251 5116620901232 8314508964502 10233241802464 16629017929004 33258035858008 66516071716016 133032143432032