| Base | Representation |
|---|---|
| bin | 1000100111101100111… |
| … | …0111101101100000000 |
| 3 | 112011021002112001000000 |
| 4 | 2021323032331230000 |
| 5 | 4411300140031240 |
| 6 | 152011244000000 |
| 7 | 13461652462200 |
| oct | 2117316755400 |
| 9 | 464232461000 |
| 10 | 148096408320 |
| 11 | 5789761a593 |
| 12 | 24851230000 |
| 13 | 10c7208bb53 |
| 14 | 724ca30400 |
| 15 | 3cbb912430 |
| hex | 227b3bdb00 |
148096408320 has 1512 divisors, whose sum is σ = 641809949760. Its totient is φ = 32606945280.
The previous prime is 148096408307. The next prime is 148096408367. The reversal of 148096408320 is 23804690841.
It is a happy number.
148096408320 is a `hidden beast` number, since 1 + 480 + 96 + 4 + 0 + 83 + 2 + 0 = 666.
148096408320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1512).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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 167 ways as a sum of consecutive naturals, for example, 1874638041 + ... + 1874638119.
It is an arithmetic number, because the mean of its divisors is an integer number (424477480).
Almost surely, 2148096408320 is an apocalyptic number.
148096408320 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 148096408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320904974880).
148096408320 is an abundant number, since it is smaller than the sum of its proper divisors (493713541440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148096408320 is an frugal number, since it uses more digits than its factorization.
148096408320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 173 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The spelling of 148096408320 in words is "one hundred forty-eight billion, ninety-six million, four hundred eight thousand, three hundred twenty".
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