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423212242212324 = 22321011032713416531
BaseRepresentation
bin110000000111010001100011…
…1010111001001010111100100
32001111110200202211011101221100
41200032203013113021113210
5420432402133001243244
64100033004155520100
7155100034614160425
oct14016430727112744
92044420684141840
10423212242212324
11112937338676954
123b57144b759030
131521b987a5c166
14767182070b64c
1533ddac57e4b69
hex180e8c75c95e4

423212242212324 has 144 divisors (see below), whose sum is σ = 1091272266774144. Its totient is φ = 138266633664000.

The previous prime is 423212242212311. The next prime is 423212242212373.

It is a happy number.

423212242212324 is a `hidden beast` number, since 4 + 2 + 3 + 212 + 2 + 422 + 12 + 3 + 2 + 4 = 666.

423212242212324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015831939 + ... + 1016248469.

It is an arithmetic number, because the mean of its divisors is an integer number (7578279630376).

Almost surely, 2423212242212324 is an apocalyptic number.

It is an amenable number.

423212242212324 is an abundant number, since it is smaller than the sum of its proper divisors (668060024561820).

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

423212242212324 is a wasteful number, since it uses less digits than its factorization.

423212242212324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419458 (or 419453 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 423212242212324 in words is "four hundred twenty-three trillion, two hundred twelve billion, two hundred forty-two million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 103 202 206 303 309 404 412 606 618 909 927 1212 1236 1818 1854 2713 3636 3708 5426 8139 10403 10852 16278 20806 24417 31209 32556 41612 48834 62418 93627 97668 124836 187254 274013 279439 374508 416531 548026 558878 822039 833062 838317 1096052 1117756 1249593 1644078 1666124 1676634 2466117 2499186 2514951 3288156 3353268 3748779 4932234 4998372 5029902 7497558 9864468 10059804 14995116 28223339 42069631 42902693 56446678 84139262 84670017 85805386 112893356 126208893 128708079 168278524 169340034 171610772 252417786 254010051 257416158 338680068 378626679 386124237 504835572 508020102 514832316 757253358 772248474 1016040204 1130048603 1514506716 1544496948 2260097206 3390145809 4333171993 4520194412 6780291618 8666343986 10170437427 12999515979 13560583236 17332687972 20340874854 25999031958 38998547937 40681749708 51998063916 77997095874 114134908903 116395006109 155994191748 228269817806 232790012218 342404726709 349185018327 456539635612 465580024436 684809453418 698370036654 1027214180127 1047555054981 1369618906836 1396740073308 2054428360254 2095110109962 4108856720508 4190220219924 11755895617009 23511791234018 35267686851027 47023582468036 70535373702054 105803060553081 141070747404108 211606121106162 423212242212324