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423252252324 = 2232114617333163
BaseRepresentation
bin1100010100010111100…
…11001101011010100100
31111110111011210011201100
412022023303031122210
523413310034033244
6522234524400100
742402404533056
oct6121363153244
91443434704640
10423252252324
11153555953760
126a0423a6030
1330bb2a4b125
14166b23958d6
15b022e34b69
hex628bccd6a4

423252252324 has 144 divisors (see below), whose sum is σ = 1171647981504. Its totient is φ = 127765036800.

The previous prime is 423252252323. The next prime is 423252252373.

423252252324 is a `hidden beast` number, since 4 + 2 + 32 + 52 + 252 + 324 = 666.

423252252324 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (423252252323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 133811967 + ... + 133815129.

It is an arithmetic number, because the mean of its divisors is an integer number (8136444316).

Almost surely, 2423252252324 is an apocalyptic number.

423252252324 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 423252252324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585823990752).

423252252324 is an abundant number, since it is smaller than the sum of its proper divisors (748395729180).

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

423252252324 is a wasteful number, since it uses less digits than its factorization.

423252252324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4373 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

It can be divided in two parts, 423252 and 252324, that added together give a palindrome (675576).

The spelling of 423252252324 in words is "four hundred twenty-three billion, two hundred fifty-two million, two hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 461 733 922 1383 1466 1844 2199 2766 2932 3163 4149 4398 5071 5532 6326 6597 8063 8298 8796 9489 10142 12652 13194 15213 16126 16596 18978 20284 24189 26388 28467 30426 32252 34793 37956 45639 48378 56934 60852 69586 72567 91278 96756 104379 113868 139172 145134 182556 208758 290268 313137 337913 417516 626274 675826 1013739 1252548 1351652 1458143 2027478 2318479 2916286 3041217 3717043 4054956 4374429 4636958 5832572 6082434 6955437 7434086 8748858 9273916 11151129 12164868 13123287 13910874 14868172 16039573 17497716 20866311 22302258 25503269 26246574 27821748 32079146 33453387 41732622 44604516 48118719 51006538 52493148 64158292 66906774 76509807 83465244 96237438 102013076 133813548 144356157 153019614 192474876 229529421 288712314 306039228 459058842 577424628 918117684 1068818819 2137637638 3206456457 4275275276 6412912914 9619369371 11757007009 12825825828 19238738742 23514014018 35271021027 38477477484 47028028036 70542042054 105813063081 141084084108 211626126162 423252252324