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423042240324 = 2231114292242733
BaseRepresentation
bin1100010011111110100…
…10000100111101000100
31111102221112121110102010
412021333102010331010
523412342303142244
6522202023214220
742364244466144
oct6117722047504
91442845543363
10423042240324
11153458352620
1269ba3ba7370
1330b7b399982
1416692528924
15b00e79deb9
hex627f484f44

423042240324 has 48 divisors (see below), whose sum is σ = 1077588832320. Its totient is φ = 128104851840.

The previous prime is 423042240319. The next prime is 423042240367.

423042240324 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4230422403243 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423042240291 and 423042240300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932739 + ... + 1309994.

It is an arithmetic number, because the mean of its divisors is an integer number (22449767340).

Almost surely, 2423042240324 is an apocalyptic number.

423042240324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

423042240324 is an abundant number, since it is smaller than the sum of its proper divisors (654546591996).

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

423042240324 is a wasteful number, since it uses less digits than its factorization.

423042240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244180 (or 2244178 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 423042 and 240324, that added together give a palindrome (663366).

The spelling of 423042240324 in words is "four hundred twenty-three billion, forty-two million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1429 2858 4287 5716 8574 15719 17148 31438 47157 62876 94314 188628 2242733 4485466 6728199 8970932 13456398 24670063 26912796 49340126 74010189 98680252 148020378 296040756 3204865457 6409730914 9614596371 12819461828 19229192742 35253520027 38458385484 70507040054 105760560081 141014080108 211521120162 423042240324