Base | Representation |
---|---|
bin | 100001101011101011000000… |
… | …111100110001110011000000 |
3 | 201102111201121111000110012200 |
4 | 201223223000330301303000 |
5 | 123404032334223301440 |
6 | 1243021013003553200 |
7 | 43126343340231456 |
oct | 4153530074616300 |
9 | 642451544013180 |
10 | 148136659197120 |
11 | 4322344a224a00 |
12 | 14745a6352b800 |
13 | 64872c49c93b9 |
14 | 2881bd15da9d6 |
15 | 121d593c10c30 |
hex | 86bac0f31cc0 |
148136659197120 has 504 divisors, whose sum is σ = 560149346877120. Its totient is φ = 35906196480000.
The previous prime is 148136659197103. The next prime is 148136659197139. The reversal of 148136659197120 is 21791956631841.
148136659197120 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 36 + 6 + 591 + 9 + 7 + 1 + 2 + 0 = 666.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2439678121 + ... + 2439738839.
It is an arithmetic number, because the mean of its divisors is an integer number (1111407434280).
It is a 1-persistent number, because it is pandigital, but 2⋅148136659197120 = 296273318394240 is not.
Almost surely, 2148136659197120 is an apocalyptic number.
148136659197120 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 148136659197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280074673438560).
148136659197120 is an abundant number, since it is smaller than the sum of its proper divisors (412012687680000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148136659197120 is a wasteful number, since it uses less digits than its factorization.
148136659197120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67765 (or 67741 counting only the distinct ones).
The product of its (nonzero) digits is 19595520, while the sum is 63.
The spelling of 148136659197120 in words is "one hundred forty-eight trillion, one hundred thirty-six billion, six hundred fifty-nine million, one hundred ninety-seven thousand, one hundred twenty".
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