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423231222132324 = 2232371013145952057
BaseRepresentation
bin110000000111011010011001…
…0101001110010111001100100
32001111112111202120020020111100
41200032310302221302321210
5420433210020331213244
64100045423405240100
7155101306141632234
oct14016646251627144
92044474676206440
10423231222132324
11112944398307751
123b575067b63030
13152206c0cb8c58
147672701339cc4
1533de336c14b69
hex180ed32a72e64

423231222132324 has 72 divisors (see below), whose sum is σ = 1109627626089528. Its totient is φ = 135905128819200.

The previous prime is 423231222132307. The next prime is 423231222132353.

423231222132324 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 312 + 2 + 2 + 13 + 2 + 324 = 666.

423231222132324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 225512751794724 + 197718470337600 = 15017082^2 + 14061240^2 .

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 23 ways as a sum of consecutive naturals, for example, 1572841497 + ... + 1573110560.

It is an arithmetic number, because the mean of its divisors is an integer number (15411494806799).

Almost surely, 2423231222132324 is an apocalyptic number.

It is an amenable number.

423231222132324 is an abundant number, since it is smaller than the sum of its proper divisors (686396403957204).

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

423231222132324 is a wasteful number, since it uses less digits than its factorization.

423231222132324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145952205 (or 3145952200 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 423231222132324 in words is "four hundred twenty-three trillion, two hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 1212 1332 1818 3636 3737 7474 11211 14948 22422 33633 44844 67266 134532 3145952057 6291904114 9437856171 12583808228 18875712342 28313568513 37751424684 56627137026 113254274052 116400226109 232800452218 317741157757 349200678327 465600904436 635482315514 698401356654 953223473271 1047602034981 1270964631028 1396802713308 1906446946542 2095204069962 2859670419813 3812893893084 4190408139924 5719340839626 11438681679252 11756422837009 23512845674018 35269268511027 47025691348036 70538537022054 105807805533081 141077074044108 211615611066162 423231222132324