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84305642440 = 2352107641061
BaseRepresentation
bin100111010000100000…
…0100000001111001000
322001121101221101001111
41032201000200033020
52340124221024230
6102421322300104
76043113065005
oct1164100401710
9261541841044
1084305642440
1132832378a68
1214409957634
137c4717b636
14411a9308ac
1522d64b992a
hex13a10203c8

84305642440 has 16 divisors (see below), whose sum is σ = 189687695580. Its totient is φ = 33722256960.

The previous prime is 84305642437. The next prime is 84305642459. The reversal of 84305642440 is 4424650348.

It can be written as a sum of positive squares in 2 ways, for example, as 84277573636 + 28068804 = 290306^2 + 5298^2 .

It is a super-2 number, since 2×843056424402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2107641061 = 84305642440 / (8 + 4 + 3 + 0 + 5 + 6 + 4 + 2 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 84305642393 and 84305642402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1053820491 + ... + 1053820570.

Almost surely, 284305642440 is an apocalyptic number.

It is an amenable number.

84305642440 is an abundant number, since it is smaller than the sum of its proper divisors (105382053140).

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

84305642440 is a wasteful number, since it uses less digits than its factorization.

84305642440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107641072 (or 2107641068 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 84305642440 in words is "eighty-four billion, three hundred five million, six hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2107641061 4215282122 8430564244 10538205305 16861128488 21076410610 42152821220 84305642440