Base | Representation |
---|---|
bin | 101001101111001… |
… | …0000011000000000 |
3 | 10121121011201222000 |
4 | 1103132100120000 |
5 | 10332003042240 |
6 | 350544144000 |
7 | 46463355246 |
oct | 12336203000 |
9 | 3547151860 |
10 | 1400440320 |
11 | 65956a5a4 |
12 | 331008000 |
13 | 1941a4016 |
14 | d3dc8796 |
15 | 82e30430 |
hex | 53790600 |
1400440320 has 160 divisors (see below), whose sum is σ = 4974726240. Its totient is φ = 373432320.
The previous prime is 1400440273. The next prime is 1400440333. The reversal of 1400440320 is 230440041.
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×14004403202 = 3922466179763404800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1400440293 and 1400440302.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 58990 + ... + 79250.
It is an arithmetic number, because the mean of its divisors is an integer number (31092039).
Almost surely, 21400440320 is an apocalyptic number.
1400440320 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 1400440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487363120).
1400440320 is an abundant number, since it is smaller than the sum of its proper divisors (3574285920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1400440320 is an equidigital number, since it uses as much as digits as its factorization.
1400440320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20293 (or 20271 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 1400440320 is about 37422.4574286617. The cubic root of 1400440320 is about 1118.8062110059.
Adding to 1400440320 its reverse (230440041), we get a palindrome (1630880361).
The spelling of 1400440320 in words is "one billion, four hundred million, four hundred forty thousand, three hundred twenty".
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