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442701774385 = 51310167433629
BaseRepresentation
bin1100111000100110001…
…01001111111000110001
31120022200122111021012021
412130103011033320301
524223123123240020
6535212511231441
743661363665033
oct6342305177061
91508618437167
10442701774385
11160826679532
127196bb18581
1332992378b70
14175d9505c53
15b7b06b61aa
hex671314fe31

442701774385 has 16 divisors (see below), whose sum is σ = 577771341840. Its totient is φ = 323681414400.

The previous prime is 442701774349. The next prime is 442701774401. The reversal of 442701774385 is 583477107244.

It can be written as a sum of positive squares in 8 ways, for example, as 471454369 + 442230320016 = 21713^2 + 665004^2 .

It is not a de Polignac number, because 442701774385 - 217 = 442701643313 is a prime.

It is a super-2 number, since 2×4427017743852 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33710250 + ... + 33723379.

It is an arithmetic number, because the mean of its divisors is an integer number (36110708865).

Almost surely, 2442701774385 is an apocalyptic number.

It is an amenable number.

442701774385 is a deficient number, since it is larger than the sum of its proper divisors (135069567455).

442701774385 is a wasteful number, since it uses less digits than its factorization.

442701774385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67433748.

The product of its (nonzero) digits is 5268480, while the sum is 52.

The spelling of 442701774385 in words is "four hundred forty-two billion, seven hundred one million, seven hundred seventy-four thousand, three hundred eighty-five".

Divisors: 1 5 13 65 101 505 1313 6565 67433629 337168145 876637177 4383185885 6810796529 34053982645 88540354877 442701774385