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400200444130230 = 234523113888721391
BaseRepresentation
bin101101011111110101110110…
…1010011111011001110110110
31221110222210022001020221210000
41122333223231103323032312
5404423341002144131410
63535053313532212130
7150203346036630552
oct13277535523731666
91843883261227700
10400200444130230
11106575067564477
1238a7563b00a046
131423c98088cc83
1470b7b3a6da862
1531401ea581dc0
hex16bfaed4fb3b6

400200444130230 has 320 divisors, whose sum is σ = 1132998681120768. Its totient is φ = 101160635304960.

The previous prime is 400200444130229. The next prime is 400200444130243. The reversal of 400200444130230 is 32031444002004.

It is a happy number.

400200444130230 is a `hidden beast` number, since 4 + 0 + 0 + 200 + 44 + 413 + 0 + 2 + 3 + 0 = 666.

It is a super-3 number, since 3×4002004441302303 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 400200444130194 and 400200444130203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18708812835 + ... + 18708834225.

Almost surely, 2400200444130230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400200444130230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566499340560384).

400200444130230 is an abundant number, since it is smaller than the sum of its proper divisors (732798236990538).

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

400200444130230 is a wasteful number, since it uses less digits than its factorization.

400200444130230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30433 (or 30424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 400200444130230 its reverse (32031444002004), we get a palindrome (432231888132234).

The spelling of 400200444130230 in words is "four hundred trillion, two hundred billion, four hundred forty-four million, one hundred thirty thousand, two hundred thirty".