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420322040223024 = 24317515100539489
BaseRepresentation
bin101111110010001111101100…
…1111001100001010100110000
32001010020101122200012222122010
41133210133121321201110300
5420043024014244114044
64045541140220442520
7154351156663462602
oct13744373171412460
92033211580188563
10420322040223024
11111a22637a29785
123b1852889a9440
131506c276926574
1475b19a3c59172
15338d81a599bb9
hex17e47d9e61530

420322040223024 has 40 divisors (see below), whose sum is σ = 1149704404141680. Its totient is φ = 131865738108928.

The previous prime is 420322040223017. The next prime is 420322040223049.

420322040223024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420322040222982 and 420322040223000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257550268929 + ... + 257550270560.

It is an arithmetic number, because the mean of its divisors is an integer number (28742610103542).

Almost surely, 2420322040223024 is an apocalyptic number.

It is an amenable number.

420322040223024 is an abundant number, since it is smaller than the sum of its proper divisors (729382363918656).

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

420322040223024 is a wasteful number, since it uses less digits than its factorization.

420322040223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515100539517 (or 515100539511 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The spelling of 420322040223024 in words is "four hundred twenty trillion, three hundred twenty-two billion, forty million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 515100539489 1030201078978 1545301618467 2060402157956 3090603236934 4120804315912 6181206473868 8241608631824 8756709171313 12362412947736 17513418342626 24724825895472 26270127513939 35026836685252 52540255027878 70053673370504 105080510055756 140107346741008 210161020111512 420322040223024