Base | Representation |
---|---|
bin | 1000101010000011101… |
… | …1011001101000000000 |
3 | 112012220011111120121120 |
4 | 2022200323121220000 |
5 | 4414044034022310 |
6 | 152154114352240 |
7 | 13513432026600 |
oct | 2124073315000 |
9 | 465804446546 |
10 | 148728814080 |
11 | 580915a1380 |
12 | 249a8b8b680 |
13 | 110430c2742 |
14 | 72aca10c00 |
15 | 3d071d1b70 |
hex | 22a0ed9a00 |
148728814080 has 1920 divisors, whose sum is σ = 666368778240. Its totient is φ = 27869184000.
The previous prime is 148728814057. The next prime is 148728814093. The reversal of 148728814080 is 80418827841.
It is a tau number, because it is divible by the number of its divisors (1920).
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2438177250 + ... + 2438177310.
It is an arithmetic number, because the mean of its divisors is an integer number (347067072).
Almost surely, 2148728814080 is an apocalyptic number.
148728814080 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 148728814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333184389120).
148728814080 is an abundant number, since it is smaller than the sum of its proper divisors (517639964160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148728814080 is a wasteful number, since it uses less digits than its factorization.
148728814080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 162 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 917504, while the sum is 51.
The spelling of 148728814080 in words is "one hundred forty-eight billion, seven hundred twenty-eight million, eight hundred fourteen thousand, eighty".
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