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420442123140 = 2232513179676121
BaseRepresentation
bin1100001111001000100…
…11011010101110000100
31111012020100000211011200
412013210103122232010
523342031140420030
6521052021502500
742242643036444
oct6074423325604
91435210024150
10420442123140
11152343688046
1269599271a30
13308557b55b0
14164c7096124
15ae0b398d60
hex61e44dab84

420442123140 has 72 divisors (see below), whose sum is σ = 1373444276568. Its totient is φ = 103493445120.

The previous prime is 420442123121. The next prime is 420442123193. The reversal of 420442123140 is 41321244024.

420442123140 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 421 + 231 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3480056064 + 416962067076 = 58992^2 + 645726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89835721 + ... + 89840400.

Almost surely, 2420442123140 is an apocalyptic number.

It is an amenable number.

420442123140 is an abundant number, since it is smaller than the sum of its proper divisors (953002153428).

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

420442123140 is a wasteful number, since it uses less digits than its factorization.

420442123140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179676149 (or 179676144 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 420442123140 its reverse (41321244024), we get a palindrome (461763367164).

The spelling of 420442123140 in words is "four hundred twenty billion, four hundred forty-two million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 179676121 359352242 539028363 718704484 898380605 1078056726 1617085089 1796761210 2156113452 2335789573 2695141815 3234170178 3593522420 4671579146 5390283630 6468340356 7007368719 8085425445 9343158292 10780567260 11678947865 14014737438 16170850890 21022106157 23357895730 28029474876 32341701780 35036843595 42044212314 46715791460 70073687190 84088424628 105110530785 140147374380 210221061570 420442123140