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42210145427 = 1743832572707
BaseRepresentation
bin100111010011111010…
…111011010010010011
311000221200211120001112
4213103322323102103
51142421244123202
631220245523535
73023002213322
oct472372732223
9130850746045
1042210145427
11169a058800a
1282201135ab
133c98c26a18
142085d2a0b9
151170a59b52
hex9d3ebb493

42210145427 has 32 divisors (see below), whose sum is σ = 46480718592. Its totient is φ = 38172524544.

The previous prime is 42210145421. The next prime is 42210145477. The reversal of 42210145427 is 72454101224.

It is a cyclic number.

It is not a de Polignac number, because 42210145427 - 28 = 42210145171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42210145393 and 42210145402.

It is not an unprimeable number, because it can be changed into a prime (42210145421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15591608 + ... + 15594314.

It is an arithmetic number, because the mean of its divisors is an integer number (1452522456).

Almost surely, 242210145427 is an apocalyptic number.

42210145427 is a deficient number, since it is larger than the sum of its proper divisors (4270573165).

42210145427 is a wasteful number, since it uses less digits than its factorization.

42210145427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107.

The product of its (nonzero) digits is 17920, while the sum is 32.

The spelling of 42210145427 in words is "forty-two billion, two hundred ten million, one hundred forty-five thousand, four hundred twenty-seven".

Divisors: 1 17 43 83 257 731 1411 2707 3569 4369 11051 21331 46019 60673 116401 187867 224681 362627 695699 917233 1978817 3819577 9661283 11826883 15592961 29915057 57743017 164241811 508555969 981631289 2482949731 42210145427