Base | Representation |
---|---|
bin | 1000101010000111010… |
… | …0110011111011000000 |
3 | 112012221012211012020000 |
4 | 2022201310303323000 |
5 | 4414111412122000 |
6 | 152155413120000 |
7 | 13514003661114 |
oct | 2124164637300 |
9 | 465835735200 |
10 | 148743864000 |
11 | 5809a040626 |
12 | 249b2029000 |
13 | 11046261a14 |
14 | 72b0a0b744 |
15 | 3d086a6000 |
hex | 22a1d33ec0 |
148743864000 has 1120 divisors, whose sum is σ = 577871978112. Its totient is φ = 37739520000.
The previous prime is 148743863981. The next prime is 148743864007. The reversal of 148743864000 is 468347841.
148743864000 is a `hidden beast` number, since 148 + 74 + 38 + 6 + 400 + 0 = 666.
148743864000 is digitally balanced in base 3, 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 (45).
It is not an unprimeable number, because it can be changed into a prime (148743864007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2094983965 + ... + 2094984035.
Almost surely, 2148743864000 is an apocalyptic number.
148743864000 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 148743864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288935989056).
148743864000 is an abundant number, since it is smaller than the sum of its proper divisors (429128114112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148743864000 is an equidigital number, since it uses as much as digits as its factorization.
148743864000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 224 (or 195 counting only the distinct ones).
The product of its (nonzero) digits is 516096, while the sum is 45.
The spelling of 148743864000 in words is "one hundred forty-eight billion, seven hundred forty-three million, eight hundred sixty-four thousand".
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