Search a number
-
+
303803889060841 = 13213407672
BaseRepresentation
bin100010100010011101101101…
…0111000111000101111101001
31110211200100221101022100211021
41011010323122320320233221
5304310010331044421331
62554045325132132441
7120664051404140041
oct10504733270705751
91424610841270737
10303803889060841
118888a562250964
122a0a728b907121
131006977882c100
1455042883aa721
15251c982a04211
hex1144edae38be9

303803889060841 has 9 divisors (see below), whose sum is σ = 328971320497431. Its totient is φ = 280434149973432.

The previous prime is 303803889060829. The next prime is 303803889060883. The reversal of 303803889060841 is 148060988308303.

The square root of 303803889060841 is 17429971.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44941403707225 + 258862485353616 = 6703835^2 + 16089204^2 .

It is not a de Polignac number, because 303803889060841 - 211 = 303803889058793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 303803889060841.

It is not an unprimeable number, because it can be changed into a prime (303803889060241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 225919240 + ... + 227260006.

It is an arithmetic number, because the mean of its divisors is an integer number (36552368944159).

Almost surely, 2303803889060841 is an apocalyptic number.

303803889060841 is the 17429971-st square number.

303803889060841 is the 8714986-th centered octagonal number.

It is an amenable number.

303803889060841 is a deficient number, since it is larger than the sum of its proper divisors (25167431436590).

303803889060841 is an frugal number, since it uses more digits than its factorization.

303803889060841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681560 (or 1340780 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 303803889060841 in words is "three hundred three trillion, eight hundred three billion, eight hundred eighty-nine million, sixty thousand, eight hundred forty-one".

Divisors: 1 13 169 1340767 17429971 226589623 1797656148289 23369529927757 303803889060841