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421433020334124 = 2232375910153094673
BaseRepresentation
bin101111111010010101000010…
…1011110010100000000101100
32001021011121021210022012011100
41133310222011132110000230
5420214224311201142444
64052151353512123100
7154524350053556061
oct13764520536240054
92037147253265140
10421433020334124
11112310816273757
123b324661996490
131511cc6a4844a6
14760d6776d6c68
1533ac68eeabe69
hex17f4a8579402c

421433020334124 has 144 divisors (see below), whose sum is σ = 1123640462075040. Its totient is φ = 133034010163200.

The previous prime is 421433020334099. The next prime is 421433020334219.

421433020334124 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 3 + 30 + 203 + 3 + 412 + 4 = 666.

421433020334124 is nontrivially palindromic in base 10.

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

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 47 ways as a sum of consecutive naturals, for example, 18609949 + ... + 34484724.

It is an arithmetic number, because the mean of its divisors is an integer number (7803058764410).

Almost surely, 2421433020334124 is an apocalyptic number.

It is an amenable number.

421433020334124 is an abundant number, since it is smaller than the sum of its proper divisors (702207441740916).

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

421433020334124 is a wasteful number, since it uses less digits than its factorization.

421433020334124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53094880 (or 53094875 counting only the distinct ones).

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

The spelling of 421433020334124 in words is "four hundred twenty-one trillion, four hundred thirty-three billion, twenty million, three hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 101 111 118 148 177 202 222 236 303 333 354 404 444 531 606 666 708 909 1062 1212 1332 1818 2124 2183 3636 3737 4366 5959 6549 7474 8732 11211 11918 13098 14948 17877 19647 22422 23836 26196 33633 35754 39294 44844 53631 67266 71508 78588 107262 134532 214524 220483 440966 661449 881932 1322898 1984347 2645796 3968694 7937388 53094673 106189346 159284019 212378692 318568038 477852057 637136076 955704114 1911408228 1964502901 3132585707 3929005802 5362561973 5893508703 6265171414 7858011604 9397757121 10725123946 11787017406 12530342828 16087685919 17680526109 18795514242 21450247892 23574034812 28193271363 32175371838 35361052218 37591028484 48263057757 56386542726 64350743676 70722104436 96526115514 112773085452 115905671159 193052231028 198414793001 231811342318 316391156407 347717013477 396829586002 463622684636 595244379003 632782312814 695434026954 793659172004 949173469221 1043151040431 1190488758006 1265564625628 1390868053908 1785733137009 1898346938442 2086302080862 2380977516012 2847520407663 3571466274018 3796693876884 4172604161724 5695040815326 7142932548036 11390081630652 11706472787059 23412945574118 35119418361177 46825891148236 70238836722354 105358255083531 140477673444708 210716510167062 421433020334124