Search a number
-
+
243302545203342 = 231712833793490159
BaseRepresentation
bin110111010100100001001001…
…110001111010000010001110
31011220110111101201000002200120
4313110201021301322002032
5223342232103033001332
62221243351331005410
7102151012611416022
oct6724411161720216
91156414351002616
10243302545203342
1170584036979329
12233557b6139866
13a59b4405b0601
144411c98194382
151d1dcce36832c
hexdd4849c7a08e

243302545203342 has 64 divisors (see below), whose sum is σ = 515767495541760. Its totient is φ = 76250452875264.

The previous prime is 243302545203331. The next prime is 243302545203401.

243302545203342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2433025452033422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243302545203294 and 243302545203303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496129659 + ... + 496619817.

It is an arithmetic number, because the mean of its divisors is an integer number (8058867117840).

Almost surely, 2243302545203342 is an apocalyptic number.

243302545203342 is an abundant number, since it is smaller than the sum of its proper divisors (272464950338418).

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

243302545203342 is a wasteful number, since it uses less digits than its factorization.

243302545203342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495257.

The product of its (nonzero) digits is 2073600, while the sum is 42.

The spelling of 243302545203342 in words is "two hundred forty-three trillion, three hundred two billion, five hundred forty-five million, two hundred three thousand, three hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 1283 2566 3793 3849 7586 7698 11379 21811 22758 43622 64481 65433 128962 130866 193443 386886 490159 980318 1470477 2940954 4866419 8332703 9732838 14599257 16665406 24998109 29198514 49996218 82729123 165458246 248187369 496374738 628873997 1257747994 1859173087 1886621991 3718346174 3773243982 5577519261 10690857949 11155038522 21381715898 31605942479 32072573847 63211884958 64145147694 94817827437 189635654874 2385319070621 4770638141242 7155957211863 14311914423726 40550424200557 81100848401114 121651272601671 243302545203342