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423332404233324 = 2231719118475882353
BaseRepresentation
bin110000001000001001100000…
…1100100111000010001101100
32001111220011221010012112110120
41200100103001210320101230
5420441334230440431244
64100204115521004540
7155111520421410315
oct14020230144702154
92044804833175416
10423332404233324
1111298329aa33823
123b5907a5783750
131522a0c7693b31
14767757d38b60c
1533e1ca9b01819
hex18104c193846c

423332404233324 has 96 divisors (see below), whose sum is σ = 1051925271699456. Its totient is φ = 132043272990720.

The previous prime is 423332404233311. The next prime is 423332404233449.

423332404233324 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, 69025332 + ... + 74907684.

It is an arithmetic number, because the mean of its divisors is an integer number (10957554913536).

Almost surely, 2423332404233324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423332404233324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525962635849728).

423332404233324 is an abundant number, since it is smaller than the sum of its proper divisors (628592867466132).

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

423332404233324 is a wasteful number, since it uses less digits than its factorization.

423332404233324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884415 (or 5884413 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 42.

It can be divided in two parts, 42333240 and 4233324, that added together give a palindrome (46566564).

The spelling of 423332404233324 in words is "four hundred twenty-three trillion, three hundred thirty-two billion, four hundred four million, two hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 191 204 382 573 764 1146 1847 2292 3247 3694 5541 6494 7388 9741 11082 12988 19482 22164 31399 38964 62798 94197 125596 188394 352777 376788 705554 1058331 1411108 2116662 4233324 5882353 5997209 11764706 11994418 17647059 17991627 23529412 23988836 35294118 35983254 70588236 71966508 100000001 200000002 300000003 400000004 600000006 1123529423 1200000012 2247058846 3370588269 4494117692 6741176538 10864705991 13482353076 19100000191 21729411982 32594117973 38200000382 43458823964 57300000573 65188235946 76400000764 114600001146 130376471892 184700001847 229200002292 369400003694 554100005541 738800007388 1108200011082 2075158844281 2216400022164 4150317688562 6225476532843 8300635377124 12450953065686 24901906131372 35277700352777 70555400705554 105833101058331 141110801411108 211666202116662 423332404233324