Search a number
-
+
302423414310045 = 32576714329467629
BaseRepresentation
bin100010011000011010111000…
…0001011101000010010011101
31110122210101200201111222221100
41010300311300023220102131
5304114401123030410140
62551111222031223313
7120462241063310550
oct10460656013502235
91418711621458840
10302423414310045
11883a8060241366
1229b03825677b39
13cc99537148542
14549752adc4697
1524e6ad8ad3530
hex1130d702e849d

302423414310045 has 48 divisors (see below), whose sum is σ = 608027970476160. Its totient is φ = 136187260336512.

The previous prime is 302423414309993. The next prime is 302423414310053. The reversal of 302423414310045 is 540013414324203.

302423414310045 is a `hidden beast` number, since 3 + 0 + 242 + 341 + 4 + 31 + 0 + 0 + 45 = 666.

It is not a de Polignac number, because 302423414310045 - 211 = 302423414307997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 302423414309991 and 302423414310009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7164712710 + ... + 7164754919.

It is an arithmetic number, because the mean of its divisors is an integer number (12667249384920).

Almost surely, 2302423414310045 is an apocalyptic number.

302423414310045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

302423414310045 is an abundant number, since it is smaller than the sum of its proper divisors (305604556166115).

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

302423414310045 is a wasteful number, since it uses less digits than its factorization.

302423414310045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14329467714 (or 14329467711 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 302423414310045 its reverse (540013414324203), we get a palindrome (842436828634248).

The spelling of 302423414310045 in words is "three hundred two trillion, four hundred twenty-three billion, four hundred fourteen million, three hundred ten thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 603 1005 1407 2345 3015 4221 7035 21105 14329467629 42988402887 71647338145 100306273403 128965208661 214942014435 300918820209 501531367015 644826043305 902756460627 960074331143 1504594101045 2880222993429 4513782303135 4800371655715 6720520318001 8640668980287 14401114967145 20161560954003 33602601590005 43203344901435 60484682862009 100807804770015 302423414310045