Base | Representation |
---|---|
bin | 11101001100010011101… |
… | …11001001001100011100 |
3 | 10112220000121022101102110 |
4 | 32212021313021030130 |
5 | 112413211310023030 |
6 | 2044442414554020 |
7 | 132316162665444 |
oct | 16461167111434 |
9 | 3486017271373 |
10 | 1003040314140 |
11 | 357429120a07 |
12 | 142490208910 |
13 | 737811268a7 |
14 | 36794145124 |
15 | 1b1586201b0 |
hex | e989dc931c |
1003040314140 has 96 divisors (see below), whose sum is σ = 2975908590144. Its totient is φ = 251558133760.
The previous prime is 1003040314127. The next prime is 1003040314147. The reversal of 1003040314140 is 414130403001.
1003040314140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1003040314147) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026952 + ... + 1749488.
It is an arithmetic number, because the mean of its divisors is an integer number (30999047814).
Almost surely, 21003040314140 is an apocalyptic number.
1003040314140 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 1003040314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487954295072).
1003040314140 is an abundant number, since it is smaller than the sum of its proper divisors (1972868276004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003040314140 is a wasteful number, since it uses less digits than its factorization.
1003040314140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 723927 (or 723925 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
Adding to 1003040314140 its reverse (414130403001), we get a palindrome (1417170717141).
The spelling of 1003040314140 in words is "one trillion, three billion, forty million, three hundred fourteen thousand, one hundred forty".
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