Search a number
-
+
1014011413041 = 311192547715541
BaseRepresentation
bin11101100000101111100…
…10100100001000110001
310120221100012100221210210
432300113302210020301
5113103143410204131
62053455211414333
7133155101540514
oct16602762441061
93527305327723
101014011413041
113610490099a0
121446324543a9
137480c0724a3
1437115250d7b
151b59b8a1146
hexec17ca4231

1014011413041 has 48 divisors (see below), whose sum is σ = 1557023421888. Its totient is φ = 582063753600.

The previous prime is 1014011413031. The next prime is 1014011413081. The reversal of 1014011413041 is 1403141104101.

It is not a de Polignac number, because 1014011413041 - 29 = 1014011412529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1014011412999 and 1014011413017.

It is not an unprimeable number, because it can be changed into a prime (1014011413031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65239731 + ... + 65255271.

It is an arithmetic number, because the mean of its divisors is an integer number (32437987956).

Almost surely, 21014011413041 is an apocalyptic number.

1014011413041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1014011413041 is a deficient number, since it is larger than the sum of its proper divisors (543012008847).

1014011413041 is a wasteful number, since it uses less digits than its factorization.

1014011413041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21070 (or 21051 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1014011413041 its reverse (1403141104101), we get a palindrome (2417152517142).

The spelling of 1014011413041 in words is "one trillion, fourteen billion, eleven million, four hundred thirteen thousand, forty-one".

Divisors: 1 3 11 19 33 57 209 361 627 1083 3971 5477 11913 15541 16431 46623 60247 104063 170951 180741 295279 312189 512853 885837 1144693 1977197 3248069 3434079 5610301 5931591 9744207 16830903 21749167 61713311 65247501 85118057 185139933 255354171 936298627 1617243083 2808895881 4851729249 17789673913 30727618577 53369021739 92182855731 338003804347 1014011413041