Base | Representation |
---|---|
bin | 1000101000100000001… |
… | …0100111001101100000 |
3 | 112011211001211100202121 |
4 | 2022020002213031200 |
5 | 4412220141234321 |
6 | 152044441154024 |
7 | 13500202013551 |
oct | 2121002471540 |
9 | 464731740677 |
10 | 148311274336 |
11 | 57997936605 |
12 | 248b118b914 |
13 | 10ca774c7c4 |
14 | 726d3a2328 |
15 | 3cd0706441 |
hex | 22880a7360 |
148311274336 has 96 divisors (see below), whose sum is σ = 335933982720. Its totient is φ = 63987148800.
The previous prime is 148311274327. The next prime is 148311274369. The reversal of 148311274336 is 633472113841.
It is a super-3 number, since 3×1483112743363 (a number of 34 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 148311274292 and 148311274301.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88981 + ... + 551851.
It is an arithmetic number, because the mean of its divisors is an integer number (3499312320).
Almost surely, 2148311274336 is an apocalyptic number.
148311274336 is a gapful number since it is divisible by the number (16) 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 148311274336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167966991360).
148311274336 is an abundant number, since it is smaller than the sum of its proper divisors (187622708384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148311274336 is a wasteful number, since it uses less digits than its factorization.
148311274336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 462948 (or 462940 counting only the distinct ones).
The product of its digits is 290304, while the sum is 43.
The spelling of 148311274336 in words is "one hundred forty-eight billion, three hundred eleven million, two hundred seventy-four thousand, three hundred thirty-six".
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