Base | Representation |
---|---|
bin | 1000011110010011011… |
… | …0010110111000110100 |
3 | 111220202020222200200111 |
4 | 2013210312112320310 |
5 | 4341113241004130 |
6 | 150513034352404 |
7 | 13342305163405 |
oct | 2074466267064 |
9 | 456666880614 |
10 | 145573375540 |
11 | 5681241472a |
12 | 2426828b704 |
13 | 1095c456a48 |
14 | 708d9059ac |
15 | 3bc018702a |
hex | 21e4d96e34 |
145573375540 has 72 divisors (see below), whose sum is σ = 316205716680. Its totient is φ = 56293539840.
The previous prime is 145573375513. The next prime is 145573375547. The reversal of 145573375540 is 45573375541.
145573375540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 61596290596 + 83977084944 = 248186^2 + 289788^2 .
It is a super-2 number, since 2×1455733755402 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145573375547) 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 23 ways as a sum of consecutive naturals, for example, 22157376 + ... + 22163944.
It is an arithmetic number, because the mean of its divisors is an integer number (4391746065).
Almost surely, 2145573375540 is an apocalyptic number.
145573375540 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 145573375540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158102858340).
145573375540 is an abundant number, since it is smaller than the sum of its proper divisors (170632341140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145573375540 is a wasteful number, since it uses less digits than its factorization.
145573375540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7793 (or 7760 counting only the distinct ones).
The product of its (nonzero) digits is 4410000, while the sum is 49.
Subtracting from 145573375540 its reverse (45573375541), we obtain a palindrome (99999999999).
The spelling of 145573375540 in words is "one hundred forty-five billion, five hundred seventy-three million, three hundred seventy-five thousand, five hundred forty".
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