Base | Representation |
---|---|
bin | 100001101110111000000001… |
… | …110010001100001011000000 |
3 | 201110021202210210110201212002 |
4 | 201232320001302030023000 |
5 | 123421134201302211304 |
6 | 1243310100224523132 |
7 | 43151265364423106 |
oct | 4156700162141300 |
9 | 643252723421762 |
10 | 148356790272704 |
11 | 432a8841501152 |
12 | 14780658a804a8 |
13 | 64a1ca68c7400 |
14 | 288c715163c76 |
15 | 122417969331e |
hex | 86ee01c8c2c0 |
148356790272704 has 336 divisors, whose sum is σ = 350422398650880. Its totient is φ = 62000093675520.
The previous prime is 148356790272701. The next prime is 148356790272737. The reversal of 148356790272704 is 407272097653841.
148356790272704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (148356790272701) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6461239784 + ... + 6461262744.
It is a 2-persistent number, because it is pandigital, and so is 2⋅148356790272704 = 296713580545408, but 3⋅148356790272704 = 445070370818112 is not.
Almost surely, 2148356790272704 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 148356790272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175211199325440).
148356790272704 is an abundant number, since it is smaller than the sum of its proper divisors (202065608378176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148356790272704 is a wasteful number, since it uses less digits than its factorization.
148356790272704 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24408 (or 24385 counting only the distinct ones).
The product of its (nonzero) digits is 142248960, while the sum is 65.
The spelling of 148356790272704 in words is "one hundred forty-eight trillion, three hundred fifty-six billion, seven hundred ninety million, two hundred seventy-two thousand, seven hundred four".
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