Base | Representation |
---|---|
bin | 1000011011110101100… |
… | …0001010011110110100 |
3 | 111212001002220002121212 |
4 | 2012331120022132310 |
5 | 4333234223231410 |
6 | 150323220500552 |
7 | 13320014304623 |
oct | 2067530123664 |
9 | 455032802555 |
10 | 144911148980 |
11 | 56502625054 |
12 | 2410254a758 |
13 | 108851b1900 |
14 | 70299a16ba |
15 | 3b81e76b05 |
hex | 21bd60a7b4 |
144911148980 has 144 divisors (see below), whose sum is σ = 339134174064. Its totient is φ = 51951144960.
The previous prime is 144911148953. The next prime is 144911149007. The reversal of 144911148980 is 89841119441.
144911148980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (144911148953) and next prime (144911149007).
It can be written as a sum of positive squares in 24 ways, for example, as 122895118096 + 22016030884 = 350564^2 + 148378^2 .
It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82663784 + ... + 82665536.
It is an arithmetic number, because the mean of its divisors is an integer number (2355098431).
Almost surely, 2144911148980 is an apocalyptic number.
144911148980 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 144911148980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169567087032).
144911148980 is an abundant number, since it is smaller than the sum of its proper divisors (194223025084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144911148980 is a wasteful number, since it uses less digits than its factorization.
144911148980 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2486 (or 2471 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 50.
The spelling of 144911148980 in words is "one hundred forty-four billion, nine hundred eleven million, one hundred forty-eight thousand, nine hundred eighty".
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