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423354453324 = 2231137502317257
BaseRepresentation
bin1100010100100011110…
…01000100110101001100
31111110202022002112010120
412022101321010311030
523414012220001244
6522253015104540
742405055323135
oct6122171046514
91443668075116
10423354453324
111535a86088a0
126a070672150
1330bcac826aa
14166c1b9ac8c
15b02bdc1819
hex6291e44d4c

423354453324 has 96 divisors (see below), whose sum is σ = 1107039123456. Its totient is φ = 124789870080.

The previous prime is 423354453299. The next prime is 423354453337.

423354453324 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24523704 + ... + 24540960.

It is an arithmetic number, because the mean of its divisors is an integer number (11531657536).

Almost surely, 2423354453324 is an apocalyptic number.

423354453324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423354453324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553519561728).

423354453324 is an abundant number, since it is smaller than the sum of its proper divisors (683684670132).

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

423354453324 is a wasteful number, since it uses less digits than its factorization.

423354453324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22335 (or 22333 counting only the distinct ones).

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

It can be divided in two parts, 423354 and 453324, that added together give a palindrome (876678).

The spelling of 423354453324 in words is "four hundred twenty-three billion, three hundred fifty-four million, four hundred fifty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 5023 10046 15069 17257 20092 30138 34514 51771 55253 60276 69028 103542 110506 165759 185851 189827 207084 221012 331518 371702 379654 557553 569481 638509 663036 743404 759308 1115106 1138962 1277018 1915527 2044361 2230212 2277924 2554036 3831054 4088722 6133083 7023599 7662108 8177444 12266166 14047198 21070797 24532332 28094396 42141594 84283188 86681911 173363822 260045733 346727644 520091466 953501021 1040182932 1907002042 2860503063 3207230707 3814004084 5721006126 6414461414 9621692121 11442012252 12828922828 19243384242 35279537777 38486768484 70559075554 105838613331 141118151108 211677226662 423354453324