Search a number
-
+
401130342231440 = 2455014129277893
BaseRepresentation
bin101101100110100110110111…
…1100011101010110110010000
31221121021200112020120221112012
41123031031233203222312100
5410034104420102401230
63541044422451522052
7150330465552236123
oct13315155743526620
91847250466527465
10401130342231440
111068a347181a218
1238ba58b7bb9328
13142a9576584313
14710ab527a43ba
1531594c27aa395
hex16cd36f8ead90

401130342231440 has 20 divisors (see below), whose sum is σ = 932628045688284. Its totient is φ = 160452136892544.

The previous prime is 401130342231427. The next prime is 401130342231457. The reversal of 401130342231440 is 44132243031104.

It can be written as a sum of positive squares in 2 ways, for example, as 121337010334864 + 279793331896576 = 11015308^2 + 16727024^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 401130342231397 and 401130342231406.

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, 2507064638867 + ... + 2507064639026.

Almost surely, 2401130342231440 is an apocalyptic number.

401130342231440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401130342231440 is an abundant number, since it is smaller than the sum of its proper divisors (531497703456844).

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

401130342231440 is a wasteful number, since it uses less digits than its factorization.

401130342231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014129277906 (or 5014129277900 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 401130342231440 its reverse (44132243031104), we get a palindrome (445262585262544).

The spelling of 401130342231440 in words is "four hundred one trillion, one hundred thirty billion, three hundred forty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5014129277893 10028258555786 20056517111572 25070646389465 40113034223144 50141292778930 80226068446288 100282585557860 200565171115720 401130342231440