Search a number
-
+
210041411214431 = 1979943714828263
BaseRepresentation
bin101111110000100000010011…
…101101000001110001011111
31000112200202121002100222011102
4233300200103231001301133
5210012304302232330211
62022415405304343315
762145663655333526
oct5760402355016137
91015622532328142
10210041411214431
1160a20075953725
121b683523774b3b
139027a87973984
1439c20b69114bd
1519439d4826a3b
hexbf0813b41c5f

210041411214431 has 16 divisors (see below), whose sum is σ = 223918649011200. Its totient is φ = 196446950245728.

The previous prime is 210041411214377. The next prime is 210041411214449. The reversal of 210041411214431 is 134412114140012.

210041411214431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210041411214431 is a prime.

It is a super-2 number, since 2×2100414112144312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210041411214394 and 210041411214403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210041411214461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6750806 + ... + 21579068.

It is an arithmetic number, because the mean of its divisors is an integer number (13994915563200).

Almost surely, 2210041411214431 is an apocalyptic number.

210041411214431 is a deficient number, since it is larger than the sum of its proper divisors (13877237796769).

210041411214431 is a wasteful number, since it uses less digits than its factorization.

210041411214431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14837798.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 210041411214431 its reverse (134412114140012), we get a palindrome (344453525354443).

The spelling of 210041411214431 in words is "two hundred ten trillion, forty-one billion, four hundred eleven million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 19 79 1501 9437 179303 745523 14164937 14828263 281736997 1171432777 22257222763 139934317931 2658752040689 11054811116549 210041411214431