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423422424224324 = 2273112726914279011
BaseRepresentation
bin110000001000110011011011…
…1001011111001001001000100
32001112012210021202200220002022
41200101212313023321021010
5420444323111100134244
64100313324253502312
7155121155252614550
oct14021466713711104
92045183252626068
10423422424224324
11112a084949693a8
123b5a61291a1998
13152357426953b5
14767ba7cbb0860
1533e42c7acb6ee
hex18119b72f9244

423422424224324 has 96 divisors (see below), whose sum is σ = 884320917258240. Its totient is φ = 173582499484800.

The previous prime is 423422424224321. The next prime is 423422424224339.

423422424224324 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (423422424224321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22513979 + ... + 36792989.

It is an arithmetic number, because the mean of its divisors is an integer number (9211676221440).

Almost surely, 2423422424224324 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 423422424224324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442160458629120).

423422424224324 is an abundant number, since it is smaller than the sum of its proper divisors (460898493033916).

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

423422424224324 is a wasteful number, since it uses less digits than its factorization.

423422424224324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14279449 (or 14279447 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 44.

The spelling of 423422424224324 in words is "four hundred twenty-three trillion, four hundred twenty-two billion, four hundred twenty-four million, two hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 62 124 127 217 254 269 434 508 538 868 889 1076 1778 1883 3556 3766 3937 7532 7874 8339 15748 16678 27559 33356 34163 55118 58373 68326 110236 116746 136652 233492 239141 478282 956564 1059053 2118106 4236212 7413371 14279011 14826742 28558022 29653484 57116044 99953077 199906154 399812308 442649341 885298682 1770597364 1813434397 3098545387 3626868794 3841053959 6197090774 7253737588 7682107918 12394181548 12694040779 15364215836 25388081558 26887377713 50776163116 53774755426 56216466307 107549510852 112432932614 119072672729 224865865228 238145345458 393515264149 476290690916 487813852793 787030528298 833508709103 975627705586 1574061056596 1667017418206 1951255411172 3334034836412 3414696969551 6829393939102 13658787878204 15122229436583 30244458873166 60488917746332 105855606056081 211711212112162 423422424224324