Base | Representation |
---|---|
bin | 101011110101111… |
… | …1101000100110000 |
3 | 10210112012122220000 |
4 | 1113223331010300 |
5 | 11003102441034 |
6 | 401551350000 |
7 | 51312325215 |
oct | 12753750460 |
9 | 3715178800 |
10 | 1471140144 |
11 | 695469401 |
12 | 350822300 |
13 | 1a5a29236 |
14 | dd54db0c |
15 | 89248599 |
hex | 57afd130 |
1471140144 has 100 divisors (see below), whose sum is σ = 4300446480. Its totient is φ = 485481600.
The previous prime is 1471140127. The next prime is 1471140149. The reversal of 1471140144 is 4410411741.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (1471140149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125277 + ... + 136515.
Almost surely, 21471140144 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 1471140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150223240).
1471140144 is an abundant number, since it is smaller than the sum of its proper divisors (2829306336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1471140144 is a wasteful number, since it uses less digits than its factorization.
1471140144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11360 (or 11345 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 27.
The square root of 1471140144 is about 38355.4447764591. Note that the first 3 decimals coincide. The cubic root of 1471140144 is about 1137.3252527760.
Adding to 1471140144 its reverse (4410411741), we get a palindrome (5881551885).
The spelling of 1471140144 in words is "one billion, four hundred seventy-one million, one hundred forty thousand, one hundred forty-four".
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