Base | Representation |
---|---|
bin | 100010000101011111000… |
… | …101110011001111010000 |
3 | 22021221000120112110000111 |
4 | 202011133011303033100 |
5 | 301334114222014212 |
6 | 4552021211531104 |
7 | 331141452005353 |
oct | 42053705631720 |
9 | 8257016473014 |
10 | 2342352532432 |
11 | 823427a37600 |
12 | 319b69159a94 |
13 | 13cb62951653 |
14 | 815287c429a |
15 | 40de396eea7 |
hex | 2215f1733d0 |
2342352532432 has 120 divisors (see below), whose sum is σ = 5045441758560. Its totient is φ = 1052560608000.
The previous prime is 2342352532397. The next prime is 2342352532439.
2342352532432 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×23423525324322 (a number of 26 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2342352532439) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133542319 + ... + 133559857.
It is an arithmetic number, because the mean of its divisors is an integer number (42045347988).
Almost surely, 22342352532432 is an apocalyptic number.
2342352532432 is a gapful number since it is divisible by the number (22) 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 2342352532432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522720879280).
2342352532432 is an abundant number, since it is smaller than the sum of its proper divisors (2703089226128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2342352532432 is a wasteful number, since it uses less digits than its factorization.
2342352532432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18353 (or 18336 counting only the distinct ones).
The product of its digits is 1036800, while the sum is 40.
The spelling of 2342352532432 in words is "two trillion, three hundred forty-two billion, three hundred fifty-two million, five hundred thirty-two thousand, four hundred thirty-two".
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