Base | Representation |
---|---|
bin | 101001000110101… |
… | …0010001101000000 |
3 | 10120010020100010100 |
4 | 1102031102031000 |
5 | 10311034323034 |
6 | 344505202400 |
7 | 46115061330 |
oct | 12215221500 |
9 | 3503210110 |
10 | 1379214144 |
11 | 648592000 |
12 | 325a90400 |
13 | 18c981759 |
14 | d12610c0 |
15 | 8113b099 |
hex | 52352340 |
1379214144 has 336 divisors, whose sum is σ = 4988820096. Its totient is φ = 356843520.
The previous prime is 1379214143. The next prime is 1379214157. The reversal of 1379214144 is 4414129731.
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 1379214099 and 1379214108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1379214143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5366464 + ... + 5366720.
Almost surely, 21379214144 is an apocalyptic number.
1379214144 is a gapful number since it is divisible by the number (14) 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 1379214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494410048).
1379214144 is an abundant number, since it is smaller than the sum of its proper divisors (3609605952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1379214144 is a wasteful number, since it uses less digits than its factorization.
1379214144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 315 (or 280 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 1379214144 is about 37137.7724695491. The cubic root of 1379214144 is about 1113.1249075771.
The spelling of 1379214144 in words is "one billion, three hundred seventy-nine million, two hundred fourteen thousand, one hundred forty-four".
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