10144000203140 has 12 divisors (see below), whose sum is σ = 21302400426636. Its totient is φ = 4057600081248.

The previous prime is 10144000203109. The next prime is 10144000203191. The reversal of 10144000203140 is 4130200044101.

It can be written as a sum of positive squares in 2 ways, for example, as 6931467341824 + 3212532861316 = 2632768^2 + 1792354^2 .

It is a super-2 number, since 2×10144000203140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 507200010157 = 10144000203140 / (1 + 0 + 1 + 4 + 4 + 0 + 0 + 0 + 2 + 0 + 3 + 1 + 4 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253600005059 + ... + 253600005098.

It is an arithmetic number, because the mean of its divisors is an integer number (1775200035553).

Almost surely, 2^{10144000203140} is an apocalyptic number.

10144000203140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144000203140 is an abundant number, since it is smaller than the sum of its proper divisors (11158400223496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10144000203140 is a wasteful number, since it uses less digits than its factorization.

10144000203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507200010166 (or 507200010164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10144000203140 its reverse (4130200044101), we get a palindrome (14274200247241).

The spelling of 10144000203140 in words is "ten trillion, one hundred forty-four billion, two hundred three thousand, one hundred forty".