Base | Representation |
---|---|
bin | 11110000010101111101010… |
… | …010100000000110001100000 |
3 | 122022211111122120200112121220 |
4 | 132002233222110000301200 |
5 | 114304304230032311230 |
6 | 1145003404425215040 |
7 | 36555035552265315 |
oct | 3602575224006140 |
9 | 568744576615556 |
10 | 132130010041440 |
11 | 39112028056454 |
12 | 1299b821031480 |
13 | 5895a63ac8758 |
14 | 248b1ab5acd0c |
15 | 104201121ed10 |
hex | 782bea500c60 |
132130010041440 has 192 divisors, whose sum is σ = 434962665510912. Its totient is φ = 33651737856000.
The previous prime is 132130010041439. The next prime is 132130010041441. The reversal of 132130010041440 is 44140010031231.
It is an interprime number because it is at equal distance from previous prime (132130010041439) and next prime (132130010041441).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 132130010041440.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132130010041441) 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 31 ways as a sum of consecutive naturals, for example, 1755736 + ... + 16350615.
It is an arithmetic number, because the mean of its divisors is an integer number (2265430549536).
Almost surely, 2132130010041440 is an apocalyptic number.
132130010041440 is a gapful number since it is divisible by the number (10) 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 132130010041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217481332755456).
132130010041440 is an abundant number, since it is smaller than the sum of its proper divisors (302832655469472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132130010041440 is a wasteful number, since it uses less digits than its factorization.
132130010041440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18107053 (or 18107045 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
Adding to 132130010041440 its reverse (44140010031231), we get a palindrome (176270020072671).
The spelling of 132130010041440 in words is "one hundred thirty-two trillion, one hundred thirty billion, ten million, forty-one thousand, four hundred forty".
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