| Base | Representation |
|---|---|
| bin | 1000011110001011101… |
| … | …1101111011000010000 |
| 3 | 111220200000111122020100 |
| 4 | 2013202323233120100 |
| 5 | 4341032023412034 |
| 6 | 150505525412400 |
| 7 | 13341435030030 |
| oct | 2074273573020 |
| 9 | 456600448210 |
| 10 | 145541232144 |
| 11 | 567a625a940 |
| 12 | 2425956a100 |
| 13 | 109558b1299 |
| 14 | 70895398c0 |
| 15 | 3bbc438099 |
| hex | 21e2eef610 |
145541232144 has 240 divisors, whose sum is σ = 509047418880. Its totient is φ = 37711491840.
The previous prime is 145541232121. The next prime is 145541232181. The reversal of 145541232144 is 441232145541.
145541232144 is a `hidden beast` number, since 1 + 45 + 541 + 2 + 32 + 1 + 44 = 666.
145541232144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 145541232099 and 145541232108.
It is an unprimeable number.
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, 4630209 + ... + 4661535.
It is an arithmetic number, because the mean of its divisors is an integer number (2121030912).
Almost surely, 2145541232144 is an apocalyptic number.
145541232144 is a gapful number since it is divisible by the number (14) 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 145541232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254523709440).
145541232144 is an abundant number, since it is smaller than the sum of its proper divisors (363506186736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145541232144 is a wasteful number, since it uses less digits than its factorization.
145541232144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31778 (or 31769 counting only the distinct ones).
The product of its digits is 76800, while the sum is 36.
Adding to 145541232144 its reverse (441232145541), we get a palindrome (586773377685).
The spelling of 145541232144 in words is "one hundred forty-five billion, five hundred forty-one million, two hundred thirty-two thousand, one hundred forty-four".
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